Vol. 6, Special Issue (Emerging Trends in Engineering Technology) Mar. 2018, PP

Size: px
Start display at page:

Download "Vol. 6, Special Issue (Emerging Trends in Engineering Technology) Mar. 2018, PP"

Transcription

1 Jonal of Engnng chnology ol. 6 Scal Iss Emgng ns n Engnng chnology Ma lss sto vson fo an omnctonal obot Han- Zhang Zh-Rn sa hn-ng Ln 345 Insttt of Elctcal ontol Engnng Datmnt of Elctcal an omt Engnng Natonal hao ng Unvsty Hsnch awan. Datmnt of omt Scnc & Infomaton Engnng Asa Unvsty awan. Datmnt of Mcal Rsach hna Mcal Unvsty Hostal hna Mcal Unvsty achng awan. 3 Ban Rsach nt Natonal hao ng Unvsty Hsnch awan. 4 Insttt of Elctcal ontol Engnng Datmnt of Elctcal an omt Engnng Natonal hao ng Unvsty Hsnch awan. 5 nt fo Atfcal Intllgnc School of Softwa Faclty of Engnng & I Unvsty of chnology Syny Boaway 007 Nw Soth als Astala. Abstact Intocton: Imag ocssng has bn mlmnt fo nmos alcatons bt s yt to b obstly an actcally al fo th contol of omnctonal obots. hs alcaton nqly qs a vsal svo fncton an a mol-f sgn; sto vson whch nvolvs xtactng th-mnsonal nfomaton fom mags fom mltl vwonts can b s to mt ths qmnts. Mthos: H w oos a ototy of a two-cama systm to nabl wlss sto vson. hs systm ss a contoll to locat lght-mttng o mas lac on an omnctonal obot as a obst tagt to g th obot thogh vaos obstacls. hs wlss systm ncls a contol systm that lvags atfcal ntllgnc to cognz tslf va mot sto vson an aat to ts nvonmnt accongly. Howv ths scnao ntocs many contol oblms nclng tm-vayng lay nonlnaty an nctanty. Hnc gvn th samlng o of ths contol systm a mol-f mtho s oos. A vsal-lay svo s s to g th obot an an aatv cton-contol law s mlmnt va an slan-ty nal ntwo. Moov th samlng tm s accont fo n th contnos-tm systm to sgn th gtal contoll. Rslts: h oos systm s tst fo gng a obot nto a gaag. h xmntal slts show that th oos atonomos navgaton sto vson svo an IE-Lab colo tansfomaton nabl a a an accat os acqston fo ths obot. Moov th oos tchnq ovs btt fomanc coma to tatonal mthos. onclson: hs slts monstat th otntal of ths systm whch os not ly on hyscal mols to b s fo a w ang of alcatons n th ft. Kywos: lss sto vson; sal-lay svo; LED-bas ma; IE-Lab; Islan-ty nal ntwo. # Atho to whom all cosonnc shol b ass E-mal: n@asa..tw ; zhntsa@gmal.com. 8

2 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Intocton Imag-ocssng tchnqs [-5] hav bn al n vaos fls nclng taffc safty obot vson an Halth. Howv th tatonal mtho bas on th al nmatcs mol [6 7] to contol th shang of obots on ocy oas os not cons th molng os cas by fo xaml nnown ayloas consmton of batty ow obstacl avoanc an fcton on th oa. Moov th gtal contoll fo ths mol facs a contnos-tm mchatoncs systm bt obstnss has not bn cons n ts sgn. On mtho [8] has bn oos to mov ts obstnss bt t s too comlx to b mlmnt n an omnctonal obot wthot th s of a hyscal mol. Hnc a vsal svo fncton an a mol-f sgn a n. On aoach to mt ths qmnts s th s of wlss sto vson whch can b actcally mlmnt sng lght-mttng os LEDs as mas. aos tchnqs fo mag sgmntaton [9] hav bn snt n th ltat. Howv most mag-cognton systms sch as machn vson [0] focs on ocssng mags wthot lght stbancs an a not ffctv whn th nt mags contan ynamc lght stbancs. h ocssng bcoms mo ffclt whn th colo ma s stb by lght. In ths sty th IE-Lab scto [5] of th colo mas whch a smla to th two ba lghts of a ca [] s s to ovcom ths stbanc. hs smlfs th ma tcton an allows th systm to oat n th a. h mas a cons th gon of ntst ROI [] an th ostons latv to th mag aa a ntf va a sgmntaton ocss n o to accatly calclat th os of th obot. Fst th systm s tan to cognz th ma colos an th ma s classf bas on th -tan tmlat colo. Nxt Lab tansfomaton s al to ach fam mag an th two LEDs a locat n ach mag. h ma s cstomz to c th ROI. Fthmo a nal ntwo s s to ct th sto-vson-bas nfomaton fo th ft os of th obot an ths nfomaton s nt to th aatv ctv contoll. h ntal aamts of th nal contoll a otmz sng an slan-ty nal ntwo INN. Its wghts an bass a ct by onln bac-oagaton B [3] to ct th os of th obot an al to g th obot sch as movng nto a gaag. hs gtal contoll s a Nonlna Ato Rgssv movng avag Xognos NARX nal ntwo [3] an ncls ta lays to lan th contnos-tm bhavo of th obot st th lmt gtal cson. h slan gntc algothm o aalll gntc algothm GA s n th INN has many slans that sha gns o olatons of oth slans thogh a common ool of chomosoms N by th mgaton of ach slan. homosom N snts th ntal wghts an bass of th nal ntwo an s convg by B. hs soltons gt off th local otmm by th th bg-bang mtho o -ntalzaton. Hn w scb th sgn of th wlss sto vson systm an ts mlmntaton n an omnctonal obot. fth tst th systm fo a scfc alcaton of navgatng th obot nto a gaag. Fnally th oos mtho s coma wth oth mthos to monstat ts nq avantags fo ths alcaton.. Mthos. oblm fomlaton an contoll sgn h s an ght-bt zo-o-hol ZOH mcocontoll n th lag-scal systm comos thogh th ZOH mtho of nts of : x t f x t t f x t t w t wh J j j j t s th contnos-tm vson of th -th sb-contoll s n whch s s th samlng j 83

3 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach tm. hs ZOH mcocontoll contols th th motos of th obot s whls. h wghts an bass B B of th nal ntwo contolls shown n Fgs. an n to b tan to contol. h Lyanov mtho of consng th molng o s al to ov stablty to g th obot. h cntalz contoll of s comos of J gtal nal sb-contolls t s [ J ]. h sct-tm vsons of th contnos-tm stats x x an x of th sb-systms a x y an sctvly; t fthmo t 3 t x ] s s s t [ x x x3. h nctants of a { t t... J t} t an ts nconstan xtnal stbancs a w t w t... wj t} w. In aton f j snts th { t ntconncton btwn th -th an j -th sb-systms. h collct nt/ott ata of wll b tan to ts nal sb-mols {... J }. h oos lag-scal contol statgy wll swtch on of th th sb-contolls nto bas on th contons that al wth th molng oblm of th nnown systm. h oos two-stag offln an onln stags statgy fo tanng th nal sb-mol an ts sb-contoll ovs two avantags: th n to bl a comlx hyscal mol s avo an th cton ablty of th nal ntwo to comnsat fo th lay n contollng th motons of th obot s nhanc. h motons of ths obot a hghly smlf nto th actons: otaton s shftng an 3 fowa movmnt along a staght ln. Hnc th ntconnct ffct f of s lmnat sng th swtchng contons shown n Fg. n o to gaant goo contol j fomanc. If th oos mag ocssng s obst thn th ganc of th obot wll b stabl. Fg. shows a ototy of th omnctonal obot whch ncls th motos vng ts th whls an a ynamcally changng ayloa; t can b cons a vsal-lay nnown an hghly nonlna mchatoncs systm. hs obot facs vaabl fcton on th oa. lss sto vson s s to saml th os of th obot. h tm-vayng lay s cas by th comtng tm of th mag ocssng an th wlss commncaton. hs ths hyscal mol cannot b thooghly scb mathmatcally. Hnc th NARX contoll n Fg. whch s comos of th sb-contolls s oos as a lag-scal contoll to achv a mol-f constant. Fg. Stct of th aatv ctv nal contoll. 84

4 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Fg. Dgtal contol stct fo th lay contnos-tm nonlna lant wth nctanty.. Sto vson masmnts Bas on th aoach scb n [5] fst th xls wthn th colo ang of th oos ma a ntf as shown n Fg. 3. h nos s flt by sachng fo th lagst aa of xls n o to c th ROI n th mag. hn fzzy -mans [4] clstng sgmntaton s s to tct th latv oston of th cnt of th ccl cosonng to ach LED on a gayscal mag comnsatng th mag stoton bas on th ntnsc aamts of th camas. Nxt th stocnt of ach LED s calclat n th wol coonat systm by sto vson [5] n o to comt th obot s os fo th svo. Fnally th nxt ROI s ct by th Kalman cto [6]. Fg 3. Exmntal sts of mag cognton of th LEDs: a colo cognton b ROI ntfcaton c sgmntaton of ccls an tcton of th cnts of th two ccls not by + an *. Algothm : h cnt of ach ccl s tct as follows: St : ocss th two LED blbs n th RGB mags fom th lft an ght wlss camas to two smla ccls of gayscal an bnay mags; ths s f to as th ma gon. St : alclat all gant vctos 3 n ths ma gon. St 3: Fn th vcto as an that satsfy th followng contons: onton : h angl btwn an s onton : If th ostons of an a fn as an sctvly th angl btwn 85

5 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach an s zo 0. St 4: h mont btwn an s a canat fo th ccl cnt an / s th as of ths ccl. omt all vcto as fom 3 n ths ma gon. St 5: Fn all canats fom all vcto as. h man of all canats s thn tan as th ccl cnt xy. Algothm : h os angl an ts o of th obot a calclat as follows: St : h s os vcto of th obot s v x y. Mas th ostons of th an low LED blbs x y x y an x y x y sng sto vson [5]. v St : alclat th cnt os vcto of th obot as x x y y an calclat v v. St 3: alclat th lngths of th two vctos v an v as l v an l v sctvly. h lag on that comts th slts of ths two vctos sng th coss oato s th angl 80 M 80 cos. hn calclat x x x x l l. St 4: If M 90 an x 0 thn 80 ; f M M 90 an x 0 thn M 80. Algothm 3: A lag-scal ctv contol bas on NARX comnsats fo th vsal lay. hs nal contoll ncls a csv stct bt s tan by th ffowa-stct B mtho to allow ts wghts an bass to convg. h s sgnal o ath of th obot s th al ath s ] [ x y wh s th actal ott an ] [ x y an s th s ott of th systm. Hnc th tanng ata { } of n Fg. a s fo wh m c a th amonts of th ta lays m c sctvly an th tacng o s. h matx s comos of th wghts an bass of. hs offln tanng ata a aang to avo th local otmal angs. A tanng-ata-shffl mtho s al to obtan th global otmal nal contoll by sng th oth ata tstng ata to vfy th local otmal angs. h absolt vals an of th tanng an tstng os sctvly a obtan by B to obtan th ftnss fncton 00/ an cost fncton wh [0 ]. Fnally th th nal ctv sb-contolls a obtan as follows: S... S c S... S c / S S... S c S... S c / S an 3 S33... S33 c3 S33... S33 c3/ S 3 3 wh th scal factos S S }{ S S }{ S S } lmt th nt angs of th nal contoll to [-0 { 3 3 0] an c c c c c c a th amonts of th ta lays of fo th th 3 3 sb-contolls sctvly. h two stags of ths ocss a as follows: Fst stag: Fst } a collct fo th offln tanng of th nal sb-mol: S { S S S an 3 3 S33 S3 wh 86

6 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach [ 3 ]. hn bas on th tanng ata { } ] can b obtan sng th INN wh [ 3 ] th offln contoll [ 3 an s th nx of th tm sqnc. h ftnss fncton fo ach aatv sb-contoll s sgn as follows: N Fst sb-contoll: 00 /... ; N N Scon sb-contoll: 00 /... ; an N N3 h sb-contoll: 00 / N 3 h tanng nt ata a mltl by S S }{ S S }{ S S } to gnat convgnc. { 3 3 Scon stag: Accong to homs fn as follows th wghts an bass of th sb-mols an sb-contolls a at onln bas on th ntal wghts an bass tmn offln n th fst stag. hom : If th nmb of csv ntwo nons s sffcnt an s aoat to ma th molng o acctabl thn th conton th fct ott of th nal mol s satsf. hs th tajctoy of bon UUB; n o wos / s 0 wh s s nfomly ltmatly has convg an th global otmal solton of th nal mol s obtan. A tal oof s shown n th Anx. h s a snstvty whch s lat to hom as follows. hom : If hom s satsf an th abov S / S X S s calclat to satsfy th conton 0 thn accong to th oos swtchng mtho ach sb-systm s UUB an t can b nf that th lag-scal systm s also UUB. Hnc cass th tacng os to also b UUB wh S s lat to { } { } an. In oth wos qs X to n thogh S to at ts contol { } aamts an S to b lat to ~ n Fg.. In ths way X can b stmat to obtan a shot-tm cton. h ntf solton of th INN can ach th global otmm systmatcally n two ways: th tanng ata a ch nogh o th two-stag tanng statgy s s. h oos swtchng statgy s ntoc to c th sgn comlxty of th contol systm as follows: onton fo 3 an 3 : h angl of th obot os s zo 0. onton fo an : h oston of th obot shfts to th tagt x x. onton 3 fo an : h stanc of th obot achs th s val y y..3 Alcaton h ots of th contons of th sb-systms a as follows: onton > onton > onton 3. 87

7 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach h statgy s as follows: St : As onton s th to oty a tolabl angl o c a tolabl shft o St : If St 3: If stanc o c a st. If y nto th obot n Fg. 4a by sb-contoll ntl x x x c n mm an x c x an a tolabl c n gs thn go to St ; othws swtch c. c thn swtch nto th obot by sb-contoll ntl x cx an c. If c thn tn to St. If x cx an c thn contn to St 3. y y y c n mm x cx an c thn swtch 3 nto th obot by sb-contoll 3 ntl 3 y y cy x cx an c an sto th obot; othws go to St. Accong to th swtchng statgy f ach sb-systm s contoll wll by ts sb-contoll thn th clos-loo sb-systm s bon an stabl an th lag-scal systm s also bon an stabl bcas s bon. h vsal fbac acts n th banwth sons of th low-fqncy moton of th obot. hs th hgh-fqncy tanng ata a nglct to ncas th obstnss of th systm. h NARX contoll s comos of th sb-contolls 3 3 an th aamts cx c y c an Algothm 3 a s to c whch on s swtch nto ths nonlna systm to g th obot. Fst th fnc o s vcto [ x y ] an th al stat vcto [ x y ] can b al to constct a nal sb-mol of ach sb-systm wh x y an a th stats of sb-systms an 3 sctvly. Fthmo n wh ; th matx ncls th wght an bas of ; n an a th ta lays of an sctvly; { } ; } ; 3 3 { 3 B B B } ; B B B } ; an { x x y y { x x y y B B B }. h tacng o s fn as ] 3 { 3x 3x 3y 3y 3 3 wh x x y y an 3 3 [ 3 v t [ v t v t v t]. h th motos n Fg. 4 whch hav ffnt ots a contoll by a aallax BS mcocontoll an th otatonal vlocts a v t v t v wh v v v ] [ v v v3 ] an 3 t [ 3 [ v 3 v 3 v3 3 ] a th otatonal commans of sb-contolls an 3 sctvly. Howv th laton btwn { 3 } { 3} an v t s nnown. h wghts an bass } of th NARX contoll wh B B } { 3 { x x x x B B } B B } an } { y y y y 3 { { m... c th matx snts th wght an bas of an m an c a th ta lays of an sctvly. h cton o s fom 88

8 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach th cto X X wh { K x K y K 3 } X an K x K y K a lat to th ct constant vals of sb-systms an 3 sctvly. If s fom th convg nal mol an contoll thn s bon an stabl. 3. Rslts o monstat th caablts of th vson-contol statgy th followng th cass a sgn fo comason: as : A hyscal mol sgn fo contol wthot sng any cama as scb n [7] as : A gntc algothm contol sgn sng a oos vson tchnq as scb n [8] as 3: h oos mtho shown n Fg. wth K K K 0.0. x y In as 3 as shown n Fgs. an 5 th tanng slts a obtan fo sb-contolls 3 bas on th tan nt/ott ata lat to th contol commans fo th motos fom 400 oss of th obot. In th fst nal sb-mol x B.949 a fo th hn lay an x B a fo th ott lay. In th scon nal sb-mol x x y B a fo th hn lay an y y B y 0.69 a fo th ott lay. In th th nal sb-mol B B a fo th ott lay. a fo th hn lay an 89

9 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Fg 4. a wo LEDs fx on th omnctonal obot. b hs obot s fa away fom th two wlss camas c that a s fo th ototy of th sto-vson systm. h th whls of th obot. In ths xmnt t s assm that x 88 mm y 007 mm an 0 an th followng ntal nal contol aamts a s. h wghts x an bass B x of th hn lay of sb-contoll a obtan sng th oos gntc algothm sch that an x B. x an B 0.7. Fo th ott lay of sb-contoll x x 90

10 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Fo th hn lay of sb-contoll B. y y an B Fo th ott lay of sb-contoll Fo th hn lay of sb-contoll 3 y y an B. Fo th ott lay of sb-contoll an B Fth S /300 S S / 000 S S / 40 S 3 3 S 300 S 00 S3 40. h swtchng aamts a c 5 c x 35 c 35. y an S S S 3 h slts shown n Fg. 6a monstat that th mthos of ass an o not g ths obot wll on a ocy oa. Fom Fgs. 4 an 6 th oos contol ocss fo as 3 sgns a vaabl nx that s fn as follows: Inx = 0: h moton of th obot s an aoxmat otaton to th lft o ght. Inx = : h moton of th obot s an aoxmat shft to th ght. Inx = : h moton of th obot s an aoxmat shft to th lft. Inx = 3: h moton of th obot s an aoxmat staght vs. Inx = 4: h moton of th obot s an aoxmat staght avanc. 9

11 Lanng cvs of fv slans Lanng cvs of fv slans Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Sach wghts fo sb-contoll by GA Gnatons 00 a Sach wghts fo sb-contoll by GA Gnatons b 9

12 Lanng cvs of fv slans Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Sach wghts fo sb-contoll 3 by GA Gnatons c Fg 5. Lanng cvs of th th nal sb-contolls ab an c by GA 93

13 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Fg 6. Exmntal slts obtan by th mtho of as 3: a h al moton ath of th obot s coma wth that obtan by th mtho of as. b h oos contol ocss swtchs to on of th th sb-contolls nto on of th sb-systms to g th obot by sng th mtho of as 3. c h contol comman of th lag-scal contoll at n th mtho of as 3. h smmatons of th aatv aamts c c an c3 snt th convgnc of th nal contoll. 4. onclson hs sty combns two tchnqs: contol an mag ocssng. A flxbl lag-scal contol statgy an a sto-vson ocss a s to ass th contol oblm of th molng o. In ths aoach th s of two LED as mas fo oston tcton ovs mo stablty than th oth ma sgns to g th obot mo accatly. h ostons of th font an bac LEDs fn th cton of th cntln of th obot ths actng as a comass fncton bt wth hgh cson. Moov ths obot os not q ncos las snsos ltason snsos o a comass. Fnally th two LEDs g th omnctonal obot to sccssflly follow th s ath whl th oth cass fal n ths tas. Acnowlgmnts h athos than th Mnsty of Scnc an chnology R.O.. fo th sot n contacts MOS B an 06--E O gatt also gos to Mchal Bton to Asa Unvsty. 94

14 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach Rfncs []. Bab. Rajaman K. Balasbamanan Mlta man bas otmz hstogam mofcaton famwo sng swam ntllgnc fo mag contast nhancmnt Mathmatcal oblms n Engnng [].. Jos M.. Antono R.R. Jan G.. Jog. cto.. Jos Blatal mag sbtacton an mltvaat mols fo th atomat tagng of scnng mammogams BoM Rsach Intnatonal [3] X. Fan. Sh J. N M. L A thmal nfa an vsbl mags fson bas aoach fo mlttagt tcton n comlx nvonmnt Mathmatcal oblms n Engnng [4] J. ang A. Smal Atomatc fway ncnt tcton fo f flow contons: a vhcl ntfcaton bas aoach sng mag ata fom sasly stbt vo camas Mathmatcal oblms n Engnng [5] Z.R. sa Robst nct-bas ganc an ostonng of a mltctonal obot by Log-ab cognton Ext Systms wth Alcatons [6].K. anv Gomtc algba bas nmatcs mol an snglaty of a hyb sgcal obot Avancs n Robot Knmatcs [7] H. Jn Q. hn Z. hn Y. H J. Zhang Mlt-LaMoton snso bas monstaton fo obotc fn tablto objct manlaton tas AAI ansactons on Intllgnc chnology [8]. Sa R. nha. Haml D. abcnhas. Slvst Lanng of a qaoto on a movng tagt sng ynamc mag-bas vsal svo contol IEEE ansactons on Robotcs [9] J. L X. L B. Yang X. Sn Sgmntaton-bas mag coy-mov fogy tcton schm IEEE ansactons on Infomaton Fonscs an Scty [0] S. bo.s. L N. Alxos F. Albt J. Blasco Atomat systms bas on machn vson fo nsctng cts fts fom th fl to osthavst a vw Foo an Boocss chnology [] Z.R. sa Mltos sgn of an LED mmng systm Jonal of Engnng chnology [] H. Bcl K. n S. olanc H. Magomtschngg G. ngt. Sc. Bogn B.H. Zszsanna.H. Hlbch. Baltz Dffson-wght magng of bast lsons: Rgon-of-ntst lacmnt an ffnt AD aamts nflnc aant ffson coffcnt vals Eoan Raology [3] Z.R. sa Y.Z. hang wo-stag gtal sgn of a coolng systm wth tm lay by th Jonal of Engnng chnology [4] M. Gong Y. Lang J. Sh. Ma J. Ma Fzzy c-mans clstng wth local nfomaton an nl mtc fo mag sgmntaton IEEE ansactons on Imag ocssng [5] Z. Zhang ama calbaton: a sonal tosctv Machn son an Alcatons [6] G. Lgoo A.M. Sabatn A novl Kalman flt fo hman moton tacng wth an ntal-bas ynamc nclnomt IEEE ansactons on Bomcal Engnng [7] L.. Ln H.Y. Shh Molng an aatv contol of an omn-mcanm-whl obot Intllgnt ontol an Atomaton [8] R. Ko A gntc algothm aoach to a nal-ntwo-bas nvs nmatcs solton of obotc manlatos bas on o mnmzaton Infomaton Scncs

15 Jonal of Engnng chnology olm 6 Scal Iss Emgng ns n Engnng chnology Mach AENDIX h Lyanov canat fo mnmzng th molng o s sgn as follows: wh s th lanng o btwn th mol an th lant; ncls th alty ; s th molng o; an. Nxt ns to b mnmz by th followng atng law fo tanng th nal mol: wh. hn th Lyanov canat fo tanng th nal contoll s sgn as 3 3. Fthmo th chang n th Lyanov canat 3 can b obtan as 3 3. Fnally th aataton law s obtan to tan th aamts of th contoll: S 3. h stabl lanng ats of th convgnc thoms can hl n stablzng th nal ntwo. Fst th chang n s calclat sng th followng qatons: an. Hnc f an thn. hat s 0 o s UUB. hom can also b ov sng a smla aoach.

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below.

Load Equations. So let s look at a single machine connected to an infinite bus, as illustrated in Fig. 1 below. oa Euatons Thoughout all of chapt 4, ou focus s on th machn tslf, thfo w wll only pfom a y smpl tatmnt of th ntwok n o to s a complt mol. W o that h, but alz that w wll tun to ths ssu n Chapt 9. So lt

More information

Rectification and Depth Computation

Rectification and Depth Computation Dpatmnt of Comput Engnng Unvst of Cafona at Santa Cuz Rctfcaton an Dpth Computaton CMPE 64: mag Anass an Comput Vson Spng 0 Ha ao 4/6/0 mag cosponncs Dpatmnt of Comput Engnng Unvst of Cafona at Santa Cuz

More information

Model and Controller Reduction for Flexible Aircraft Preserving Robust Performance

Model and Controller Reduction for Flexible Aircraft Preserving Robust Performance Mol an Contoll cton o Flxbl Acat Psvng obst Pomanc Nabl Ao Bnot Bolt McGll Cnt o Intllgnt Machns McGll Unvst 348 Unvst Stt Montéal Qébc Canaa H3A A7 xana Bot Déatmnt gén la octon atomatsé Ecol tchnolog

More information

Period vs. Length of a Pendulum

Period vs. Length of a Pendulum Gaphcal Mtho n Phc Gaph Intptaton an Lnazaton Pat 1: Gaphng Tchnqu In Phc w u a vat of tool nclung wo, quaton, an gaph to mak mol of th moton of objct an th ntacton btwn objct n a tm. Gaph a on of th bt

More information

Structure and Features

Structure and Features Thust l Roll ans Thust Roll ans Stutu an atus Thust ans onsst of a psly ma a an olls. Thy hav hh ty an hh loa apats an an b us n small spas. Thust l Roll ans nopoat nl olls, whl Thust Roll ans nopoat ylnal

More information

Multi-linear Systems and Invariant Theory. in the Context of Computer Vision and Graphics. Class 4: Mutli-View 3D-from-2D. CS329 Stanford University

Multi-linear Systems and Invariant Theory. in the Context of Computer Vision and Graphics. Class 4: Mutli-View 3D-from-2D. CS329 Stanford University Mult-lna Sytm and Invaant hoy n th Contxt of Comut Von and Gahc Cla 4: Mutl-Vw 3D-fom-D CS39 Stanfod Unvty Amnon Shahua Cla 4 Matal W Wll Cov oday Eola Gomty and Fundamntal Matx h lan+aallax modl and latv

More information

3. A Review of Some Existing AW (BT, CT) Algorithms

3. A Review of Some Existing AW (BT, CT) Algorithms 3. A Revew of Some Exstng AW (BT, CT) Algothms In ths secton, some typcal ant-wndp algothms wll be descbed. As the soltons fo bmpless and condtoned tansfe ae smla to those fo ant-wndp, the pesented algothms

More information

CDS 110b: Lecture 8-1 Robust Stability

CDS 110b: Lecture 8-1 Robust Stability DS 0b: Lct 8- Robst Stabilit Richad M. Ma 3 Fba 006 Goals: Dscib mthods fo psnting nmodld dnamics Div conditions fo obst stabilit Rading: DFT, Sctions 4.-4.3 3 Fb 06 R. M. Ma, altch Gam lan: Robst fomanc

More information

Control Oriented LFT Modeling of a Non Linear MIMO system

Control Oriented LFT Modeling of a Non Linear MIMO system I E E E C Intnton on of Ectc, Ectoncs ISSN No. (Onn : 77-66 n Cot Ennn (: 5-( Sc Eton fo Bst Ps of c F IE In St-, FIIS- Conto Ont LF on of Non Ln IO sst Ro* n Rnt K B** *CKV Insttt of Ennn, L, How, (WB

More information

NEW ATTACKS ON TAKAGI CRYPTOSYSTEM

NEW ATTACKS ON TAKAGI CRYPTOSYSTEM Jounal of Algba umb Thoy: Advancs and Alcatons Volum 8 umb - 7 Pags 5-59 Avalabl at htt://scntfcadvancscon DOI: htt://dxdoog/86/antaa_785 EW ATTACKS O TAKAGI CRYPTOSYSTEM MUHAMMAD REAL KAMEL ARIFFI SADIQ

More information

MODELING AND SIMULATION OF SENSORLESS CONTROL OF PMSM WITH LUENBERGER ROTOR POSITION OBSERVER AND SUI PID CONTROLLER

MODELING AND SIMULATION OF SENSORLESS CONTROL OF PMSM WITH LUENBERGER ROTOR POSITION OBSERVER AND SUI PID CONTROLLER Jounal of Elctcal Engnng www.j.o MODEING AND SIMUAION OF SENSORESS CONRO OF PMSM WIH UENBERGER ROOR POSIION OBSERVER AND SUI PID CONROER GHADA A. ABDE AZIZ, MOHAMED. I. ABU E- SEBAH, Elctonc Rsach Insttut,

More information

Ερωτήσεις και ασκησεις Κεφ. 10 (για μόρια) ΠΑΡΑΔΟΣΗ 29/11/2016. (d)

Ερωτήσεις και ασκησεις Κεφ. 10 (για μόρια) ΠΑΡΑΔΟΣΗ 29/11/2016. (d) Ερωτήσεις και ασκησεις Κεφ 0 (για μόρια ΠΑΡΑΔΟΣΗ 9//06 Th coffcnt A of th van r Waals ntracton s: (a A r r / ( r r ( (c a a a a A r r / ( r r ( a a a a A r r / ( r r a a a a A r r / ( r r 4 a a a a 0 Th

More information

Using DP for hierarchical discretization of continuous attributes. Amit Goyal (31 st March 2008)

Using DP for hierarchical discretization of continuous attributes. Amit Goyal (31 st March 2008) Usng DP fo heachcal dscetzaton of contnos attbtes Amt Goyal 31 st Mach 2008 Refeence Chng-Cheng Shen and Yen-Lang Chen. A dynamc-pogammng algothm fo heachcal dscetzaton of contnos attbtes. In Eopean Jonal

More information

SUNWAY UNIVERSITY BUSINESS SCHOOL SAMPLE FINAL EXAMINATION FOR FIN 3024 INVESTMENT MANAGEMENT

SUNWAY UNIVERSITY BUSINESS SCHOOL SAMPLE FINAL EXAMINATION FOR FIN 3024 INVESTMENT MANAGEMENT UNWA UNIVRIT BUIN HOOL AMPL FINAL AMINATION FOR FIN 34 INVTMNT MANAGMNT TION A A ALL qto th cto. Qto tha kg facg fo a ca. Th local bak ha ag to gv hm a loa fo 9% of th cot of th ca h ll pay th t cah a

More information

Stabilizing gain design for PFC (Predictive Functional Control) with estimated disturbance feed-forward

Stabilizing gain design for PFC (Predictive Functional Control) with estimated disturbance feed-forward Stblzg g sg o PFC Pctv Fctol Cotol wth stt stbc -ow. Zbt R. Hb. och Dtt o Pocss Egg Plt Dsg Lboto o Pocss Atoto Colog Uvst o Al Scc D-5679 öl Btzo St. -l: hl.zbt@sl.h-ol. {obt.hb l.och}@ h-ol. Abstct:

More information

The local orthonormal basis set (r,θ,φ) is related to the Cartesian system by:

The local orthonormal basis set (r,θ,φ) is related to the Cartesian system by: TIS in Sica Cooinats As not in t ast ct, an of t otntias tat w wi a wit a cnta otntias, aning tat t a jst fnctions of t istanc btwn a atic an so oint of oigin. In tis cas tn, (,, z as a t Coob otntia an

More information

Anouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent

Anouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent oucms Couga Gas Mchal Kazha (6.657) Ifomao abou h Sma (6.757) hav b pos ol: hp://www.cs.hu.u/~msha Tch Spcs: o M o Tusay afoo. o Two paps scuss ach w. o Vos fo w s caa paps u by Thusay vg. Oul Rvw of Sps

More information

In the name of Allah Proton Electromagnetic Form Factors

In the name of Allah Proton Electromagnetic Form Factors I th a of Allah Poto Elctoagtc o actos By : Maj Hazav Pof A.A.Rajab Shahoo Uvsty of Tchology Atoc o acto: W cos th tactos of lcto bas wth atos assu to b th gou stats. Th ct lcto ay gt scatt lastcally wth

More information

Folding of Regular CW-Complexes

Folding of Regular CW-Complexes Ald Mathmatcal Scncs, Vol. 6,, no. 83, 437-446 Foldng of Rgular CW-Comlxs E. M. El-Kholy and S N. Daoud,3. Dartmnt of Mathmatcs, Faculty of Scnc Tanta Unvrsty,Tanta,Egyt. Dartmnt of Mathmatcs, Faculty

More information

Homework 1: Solutions

Homework 1: Solutions Howo : Solutos No-a Fals supposto tst but passs scal tst lthouh -f th ta as slowss [S /V] vs t th appaac of laty alty th path alo whch slowss s to b tat to obta tavl ts ps o th ol paat S o V as a cosquc

More information

3. Anomalous magnetic moment

3. Anomalous magnetic moment 3. Anolos gntc ont 3.1 Mgntc ont of th lcton: Dc qton wth lcton colng to lcto-gntc t fld: D A A D ψ 0 cnoncl ont Anstz fo th solton s fo f tcl: t t Χ Φ Φ Χ 0 A 0 A Χ Φ 0 Χ Φ χ ϕ x x 4 Non-ltvstc lt: E,

More information

P a g e 5 1 of R e p o r t P B 4 / 0 9

P a g e 5 1 of R e p o r t P B 4 / 0 9 P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e

More information

( V ) 0 in the above equation, but retained to keep the complete vector identity for V in equation.

( V ) 0 in the above equation, but retained to keep the complete vector identity for V in equation. Cuvlna Coodnats Outln:. Otogonal cuvlna coodnat systms. Dffntal opatos n otogonal cuvlna coodnat systms. Dvatvs of t unt vctos n otogonal cuvlna coodnat systms 4. Incompssbl N-S quatons n otogonal cuvlna

More information

Math 656 March 10, 2011 Midterm Examination Solutions

Math 656 March 10, 2011 Midterm Examination Solutions Math 656 March 0, 0 Mdtrm Eamnaton Soltons (4pts Dr th prsson for snh (arcsnh sng th dfnton of snh w n trms of ponntals, and s t to fnd all als of snh (. Plot ths als as ponts n th compl plan. Mak sr or

More information

Switching FOC Method for Vector Control of Single-Phase Induction Motor Drives

Switching FOC Method for Vector Control of Single-Phase Induction Motor Drives Intnatonal Jounal of Elctcal an Comput Engnng (IJECE) Vol. 6, No., Apl 16, pp. 474~483 ISSN: 88-878, DOI: 1.11591/jc.6.9146 474 Swtchng FOC tho fo Vcto Contol of Sngl-Phas Inucton oto Ds ohamma Jannat*,

More information

Homework: Due

Homework: Due hw-.nb: //::9:5: omwok: Du -- Ths st (#7) s du on Wdnsday, //. Th soluton fom Poblm fom th xam s found n th mdtm solutons. ü Sakua Chap : 7,,,, 5. Mbach.. BJ 6. ü Mbach. Th bass stats of angula momntum

More information

Neural Networks The ADALINE

Neural Networks The ADALINE Lat Lctu Summay Intouction to ua to Bioogica uon Atificia uon McCuoch an itt LU Ronbatt cton Aan Bnaino, a@i.it.ut.t Machin Laning, 9/ ua to h ADALI M A C H I L A R I G 9 / cton Limitation cton aning u

More information

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28 Chapt 10 Phys 3 Lctu 8 Dffacton Dffacton: gnal Fsnl vs. Faunhof dffacton Sval cohnt oscllatos Sngl-slt dffacton Dffacton Gmald, 1600s: dffacto, dvaton of lght fom lna popagaton Dffacton s a consqunc of

More information

ADDITIVE INTEGRAL FUNCTIONS IN VALUED FIELDS. Ghiocel Groza*, S. M. Ali Khan** 1. Introduction

ADDITIVE INTEGRAL FUNCTIONS IN VALUED FIELDS. Ghiocel Groza*, S. M. Ali Khan** 1. Introduction ADDITIVE INTEGRAL FUNCTIONS IN VALUED FIELDS Ghiocl Goza*, S. M. Ali Khan** Abstact Th additiv intgal functions with th cofficints in a comlt non-achimdan algbaically closd fild of chaactistic 0 a studid.

More information

Control Systems. Lecture 8 Root Locus. Root Locus. Plant. Controller. Sensor

Control Systems. Lecture 8 Root Locus. Root Locus. Plant. Controller. Sensor Cotol Syt ctu 8 Root ocu Clacal Cotol Pof. Eugo Schut hgh Uvty Root ocu Cotoll Plat R E C U Y - H C D So Y C C R C H Wtg th loo ga a w a ttd tackg th clod-loo ol a ga va Clacal Cotol Pof. Eugo Schut hgh

More information

VISUALIZATION OF TRIVARIATE NURBS VOLUMES

VISUALIZATION OF TRIVARIATE NURBS VOLUMES ISUALIZATIO OF TRIARIATE URS OLUMES SAMUELČÍK Mat SK Abstact. I ths pap fcs patca st f f-f bcts a ts sazat. W xt appach f g cs a sfacs a ppa taat s bas z a -sp xpsss. O a ga s t saz g paatc s. Th sazat

More information

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28

Diffraction. Diffraction: general Fresnel vs. Fraunhofer diffraction Several coherent oscillators Single-slit diffraction. Phys 322 Lecture 28 Chapt 10 Phys 3 Lctu 8 Dffacton Dffacton: gnal Fsnl vs. Faunhof dffacton Sval cohnt oscllatos Sngl-slt dffacton Dffacton Gmald, 1600s: dffacto, dvaton of lght fom lna popagaton Dffacton s a consqunc of

More information

Retail for Lease 1322 Third St. Promenade, Santa Monica

Retail for Lease 1322 Third St. Promenade, Santa Monica n z Rtal f Las 1322 hd St. Pmnad, Santa Mnca m c k 1334 hd Stt Pmnad, Sut 306, Santa Mnca, A 90401 l 310.395.8383 F 310.395.7872 hs Statmnt wth th nfmatn t cntans s gvn wth th undstandng that all ngtatns

More information

Applications of Lagrange Equations

Applications of Lagrange Equations Applcaton of agang Euaton Ca Stuy : Elctc Ccut ng th agang uaton of oton, vlop th athatcal ol fo th ccut hown n Fgu.Sulat th ult by SIMI. Th ccuty paat a: 0.0 H, 0.00 H, 0.00 H, C 0.0 F, C 0. F, 0 Ω, Ω

More information

EE 584 MACHINE VISION

EE 584 MACHINE VISION MTU 584 Lctu Not by A.AydnALATAN 584 MACHIN VISION Photomtc Sto Radomty BRDF Rflctanc Ma Rcovng Sufac Ontaton MTU 584 Lctu Not by A.AydnALATAN Photomtc Sto It obl to cov th ontaton of ufac atch fom a numb

More information

5- Scattering Stationary States

5- Scattering Stationary States Lctu 19 Pyscs Dpatmnt Yamou Unvsty 1163 Ibd Jodan Pys. 441: Nucla Pyscs 1 Pobablty Cunts D. Ndal Esadat ttp://ctaps.yu.du.jo/pyscs/couss/pys641/lc5-3 5- Scattng Statonay Stats Rfnc: Paagaps B and C Quantum

More information

European and American options with a single payment of dividends. (About formula Roll, Geske & Whaley) Mark Ioffe. Abstract

European and American options with a single payment of dividends. (About formula Roll, Geske & Whaley) Mark Ioffe. Abstract 866 Uni Naions Plaza i 566 Nw Yo NY 7 Phon: + 3 355 Fa: + 4 668 info@gach.com www.gach.com Eoan an Amican oions wih a singl amn of ivins Abo fomla Roll Gs & Whal Ma Ioff Absac Th aicl ovis a ivaion of

More information

Exam 2 Solutions. Jonathan Turner 4/2/2012. CS 542 Advanced Data Structures and Algorithms

Exam 2 Solutions. Jonathan Turner 4/2/2012. CS 542 Advanced Data Structures and Algorithms CS 542 Avn Dt Stutu n Alotm Exm 2 Soluton Jontn Tun 4/2/202. (5 ont) Con n oton on t tton t tutu n w t n t 2 no. Wt t mllt num o no tt t tton t tutu oul ontn. Exln you nw. Sn n mut n you o u t n t, t n

More information

Appendix. In the absence of default risk, the benefit of the tax shield due to debt financing by the firm is 1 C E C

Appendix. In the absence of default risk, the benefit of the tax shield due to debt financing by the firm is 1 C E C nx. Dvon o h n wh In h sn o ul sk h n o h x shl u o nnng y h m s s h ol ouon s h num o ssus s h oo nom x s h sonl nom x n s h v x on quy whh s wgh vg o vn n l gns x s. In hs s h o sonl nom xs on h x shl

More information

Electromagnetics: The Smith Chart (9-6)

Electromagnetics: The Smith Chart (9-6) Elctomagntcs: Th Smth Chat (9-6 Yoonchan Jong School of Elctcal Engnng, Soul Natonal Unvsty Tl: 8 (0 880 63, Fax: 8 (0 873 9953 Emal: yoonchan@snu.ac.k A Confomal Mappng ( Mappng btwn complx-valud vaabls:

More information

DMC Based on Weighting Correction of Predictive Model Errors

DMC Based on Weighting Correction of Predictive Model Errors ELKOIK Vol o 4 l 9 ~ -ISS: 87-78X 9 DC Bsd on Wgtng Cocton of dctv odl Eos L n* Sn ong X Fngng Wng o Scool of Elctcl Engnng & Infoton otst tol nvst Dqng Olfld Con Dvlont Stt 99#Go xn Dstct 68 *Cosondng

More information

CDS 101: Lecture 7.1 Loop Analysis of Feedback Systems

CDS 101: Lecture 7.1 Loop Analysis of Feedback Systems CDS : Lct 7. Loop Analsis of Fback Sstms Richa M. Ma Goals: Show how to compt clos loop stabilit fom opn loop poptis Dscib th Nqist stabilit cition fo stabilit of fback sstms Dfin gain an phas magin an

More information

September 27, Introduction to Ordinary Differential Equations. ME 501A Seminar in Engineering Analysis Page 1. Outline

September 27, Introduction to Ordinary Differential Equations. ME 501A Seminar in Engineering Analysis Page 1. Outline Introucton to Ornar Dffrntal Equatons Sptmbr 7, 7 Introucton to Ornar Dffrntal Equatons Larr artto Mchancal Engnrng AB Smnar n Engnrng Analss Sptmbr 7, 7 Outln Rvw numrcal solutons Bascs of ffrntal quatons

More information

Differential Kinematics

Differential Kinematics Lctu Diffntia Kinmatic Acknowgmnt : Pof. Ouama Khatib, Robotic Laboato, tanfo Univit, UA Pof. Ha Aaa, AI Laboato, MIT, UA Guiing Qution In obotic appication, not on th poition an ointation, but th vocit

More information

GMm. 10a-0. Satellite Motion. GMm U (r) - U (r ) how high does it go? Escape velocity. Kepler s 2nd Law ::= Areas Angular Mom. Conservation!!!!

GMm. 10a-0. Satellite Motion. GMm U (r) - U (r ) how high does it go? Escape velocity. Kepler s 2nd Law ::= Areas Angular Mom. Conservation!!!! F Satllt Moton 10a-0 U () - U ( ) 0 f ow g dos t go? scap locty Kpl s nd Law ::= Aas Angula Mo. Consaton!!!! Nwton s Unsal Law of Gaty 10a-1 M F F 1) F acts along t ln connctng t cnts of objcts Cntal Foc

More information

Who is this Great Team? Nickname. Strangest Gift/Friend. Hometown. Best Teacher. Hobby. Travel Destination. 8 G People, Places & Possibilities

Who is this Great Team? Nickname. Strangest Gift/Friend. Hometown. Best Teacher. Hobby. Travel Destination. 8 G People, Places & Possibilities Who i thi Gt Tm? Exi Sh th foowing i of infomtion bot of with o tb o tm mt. Yo o not hv to wit n of it own. Yo wi b givn on 5 mint to omih thi tk. Stngt Gift/Fin Niknm Homtown Bt Th Hobb Tv Dtintion Robt

More information

Guo, James C.Y. (1998). "Overland Flow on a Pervious Surface," IWRA International J. of Water, Vol 23, No 2, June.

Guo, James C.Y. (1998). Overland Flow on a Pervious Surface, IWRA International J. of Water, Vol 23, No 2, June. Guo, Jams C.Y. (006). Knmatc Wav Unt Hyrograph for Storm Watr Prctons, Vol 3, No. 4, ASCE J. of Irrgaton an Dranag Engnrng, July/August. Guo, Jams C.Y. (998). "Ovrlan Flow on a Prvous Surfac," IWRA Intrnatonal

More information

Midterm Exam. CS/ECE 181B Intro to Computer Vision. February 13, :30-4:45pm

Midterm Exam. CS/ECE 181B Intro to Computer Vision. February 13, :30-4:45pm Nam: Midtm am CS/C 8B Into to Comput Vision Fbua, 7 :-4:45pm las spa ouslvs to th dg possibl so that studnts a vnl distibutd thoughout th oom. his is a losd-boo tst. h a also a fw pags of quations, t.

More information

EFFICIENCY OPTIMIZATION OF INDUCTION MOTOR DRIVES

EFFICIENCY OPTIMIZATION OF INDUCTION MOTOR DRIVES Naučno-stučn spozju Engtska fkasnost ENEF 03, Banja Luka,. 3. novba 03. gon Ra po pozvu EFFICIENCY OPIMIZAION OF INUCION MOOR RIVES Banko Blanuša, Faculty of Elctcal Engnng, Rpublka Spska, Bosna an Hzgovna

More information

The angle between L and the z-axis is found from

The angle between L and the z-axis is found from Poblm 6 This is not a ifficult poblm but it is a al pain to tansf it fom pap into Mathca I won't giv it to you on th quiz, but know how to o it fo th xam Poblm 6 S Figu 6 Th magnitu of L is L an th z-componnt

More information

Chapter 3 Binary Image Analysis. Comunicação Visual Interactiva

Chapter 3 Binary Image Analysis. Comunicação Visual Interactiva Chapt 3 Bnay Iag Analyss Counação Vsual Intatva Most oon nghbohoods Pxls and Nghbohoods Nghbohood Vznhança N 4 Nghbohood N 8 Us of ass Exapl: ogn nput output CVI - Bnay Iag Analyss Exapl 0 0 0 0 0 output

More information

4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n tr t d n R th

4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n tr t d n R th n r t d n 20 2 :24 T P bl D n, l d t z d http:.h th tr t. r pd l 4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n

More information

Extinction Ratio and Power Penalty

Extinction Ratio and Power Penalty Application Not: HFAN-.. Rv.; 4/8 Extinction Ratio and ow nalty AVALABLE Backgound Extinction atio is an impotant paamt includd in th spcifications of most fib-optic tanscivs. h pupos of this application

More information

Coordinate Transformations

Coordinate Transformations Coll of E Copt Scc Mchcl E Dptt Nots o E lss Rvs pl 6, Istcto: L Ctto Coot Tsfotos Itocto W wt to c ot o lss lttv coot ssts. Most stts hv lt wth pol sphcl coot ssts. I ths ots, w wt to t ths oto of fft

More information

APPLICATION OF THE GENERALIZED HAMILTONIAN DYNAMICS TO A MODIFIED COULOMB POTENTIAL

APPLICATION OF THE GENERALIZED HAMILTONIAN DYNAMICS TO A MODIFIED COULOMB POTENTIAL INTERNTION REVIEW OF TOMIC ND MOECUR PYSICS (IRMP Volm No. Jly-Dcm. - Intnatonal Scnc Pss ISSN: 9-59 RESERC RTICE PPICTION OF TE GENERIED MITONIN DYNMICS TO MODIFIED COUOMB POTENTI JUIN NTOIN CMREN ND

More information

The Bellman Equation

The Bellman Equation The Bellman Eqaton Reza Shadmehr In ths docment I wll rovde an elanaton of the Bellman eqaton, whch s a method for otmzng a cost fncton and arrvng at a control olcy.. Eamle of a game Sose that or states

More information

ILSim A compact simulation tool for interferometric lithography

ILSim A compact simulation tool for interferometric lithography LSm A compact smulaton tool fo ntfomtc lthogaphy Yongfa an, Anatoly Bouov, Lna Zavyalova, Janmng Zhou, Anw stoff, al Laffty, Buc W. Smth Rochst nsttut of Tchnology, Mcolctonc ngnng Dpatmnt 8 Lomb Mmoal

More information

SAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy.

SAMPLE LITANY OF THE SAINTS E/G. Dadd9/F. Aadd9. cy. Christ, have. Lord, have mer cy. Christ, have A/E. Dadd9. Aadd9/C Bm E. 1. Ma ry and. mer cy. LTNY OF TH SNTS Cntrs Gnt flwng ( = c. 100) /G Ddd9/F ll Kybrd / hv Ddd9 hv hv Txt 1973, CL. ll rghts rsrvd. Usd wth prmssn. Musc: D. Bckr, b. 1953, 1987, D. Bckr. Publshd by OCP. ll rghts rsrvd. SMPL

More information

CBSE , ˆj. cos CBSE_2015_SET-1. SECTION A 1. Given that a 2iˆ ˆj. We need to find. 3. Consider the vector equation of the plane.

CBSE , ˆj. cos CBSE_2015_SET-1. SECTION A 1. Given that a 2iˆ ˆj. We need to find. 3. Consider the vector equation of the plane. CBSE CBSE SET- SECTION. Gv tht d W d to fd 7 7 Hc, 7 7 7. Lt,. W ow tht.. Thus,. Cosd th vcto quto of th pl.. z. - + z = - + z = Thus th Cts quto of th pl s - + z = Lt d th dstc tw th pot,, - to th pl.

More information

New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables

New bounds on Poisson approximation to the distribution of a sum of negative binomial random variables Sogklaaka J. Sc. Tchol. 4 () 4-48 Ma. -. 8 Ogal tcl Nw bouds o Posso aomato to th dstbuto of a sum of gatv bomal adom vaabls * Kat Taabola Datmt of Mathmatcs Faculty of Scc Buaha Uvsty Muag Chobu 3 Thalad

More information

THIS PAGE DECLASSIFIED IAW EO 12958

THIS PAGE DECLASSIFIED IAW EO 12958 L " ^ \ : / 4 a " G E G + : C 4 w i V T / J ` { } ( : f c : < J ; G L ( Y e < + a : v! { : [ y v : ; a G : : : S 4 ; l J / \ l " ` : 5 L " 7 F } ` " x l } l i > G < Y / : 7 7 \ a? / c = l L i L l / c f

More information

Kummer Beta -Weibull Geometric Distribution. A New Generalization of Beta -Weibull Geometric Distribution

Kummer Beta -Weibull Geometric Distribution. A New Generalization of Beta -Weibull Geometric Distribution ttol Jol of Ss: Bs Al Rsh JSBAR SSN 37-453 Pt & Ol htt://gss.og/.h?joljolofbsaal ---------------------------------------------------------------------------------------------------------------------------

More information

Lecture 7 - SISO Loop Analysis

Lecture 7 - SISO Loop Analysis Lctr 7 - IO Loop Anal IO ngl Inpt ngl Otpt Anal: tablt rformanc Robtn EE39m - prng 5 Gornvk ontrol Engnrng 7- ODE tablt Lapnov mathmatcal tablt thor - nonlnar tm tablt fnton frt rct mtho xponntal convrgnc

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

Bayesian Estimation of the parameters of the Weibull-Weibull Length-Biased mixture distributions using time censored data

Bayesian Estimation of the parameters of the Weibull-Weibull Length-Biased mixture distributions using time censored data Bys Eso of h s of h Wull-Wull gh-bs xu suos usg so S. A. Sh N Bouss I.S.S. Co Uvsy I.N.P.S. Algs Uvsy shsh@yhoo.o ou005@yhoo.o As I hs h s of h Wull-Wull lgh s xu suos s usg h Gs slg hqu u y I sog sh.

More information

A simple 2-D interpolation model for analysis of nonlinear data

A simple 2-D interpolation model for analysis of nonlinear data Vol No - p://oog//n Nl Sn A mpl -D npolon mol o nl o nonln M Zmn Dpmn o Cvl Engnng Fl o nolog n Engnng Yo Unv Yo In; m@ml Rv M ; v Apl ; p M ABSRAC o mnon volm n wg o nonnom o n o po vlon o mnng n o ng

More information

THIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings.

THIS PAGE DECLASSIFIED IAW EO IRIS u blic Record. Key I fo mation. Ma n: AIR MATERIEL COMM ND. Adm ni trative Mar ings. T H S PA G E D E CLA SSFED AW E O 2958 RS u blc Recod Key fo maon Ma n AR MATEREL COMM ND D cumen Type Call N u b e 03 V 7 Rcvd Rel 98 / 0 ndexe D 38 Eneed Dae RS l umbe 0 0 4 2 3 5 6 C D QC d Dac A cesson

More information

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9 OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at

More information

Cylon BACnet Unitary Controller (CBT) Range

Cylon BACnet Unitary Controller (CBT) Range ATASHEET Cyo BAC y Coo (CBT) Rg Th Cyo BAC y Coo (CBT) Rg g o BTL L BAC Av Appo Coo wh p 8 op, y o oog g o p. Th v h g ow o o, po ppo o g VAV ppo. BAC MS/TP F Sppo h oowg og BAC oj: A/B/AO/BO/AV/BV, A,

More information

Lucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn.

Lucas Test is based on Euler s theorem which states that if n is any integer and a is coprime to n, then a φ(n) 1modn. Modul 10 Addtonal Topcs 10.1 Lctur 1 Prambl: Dtrmnng whthr a gvn ntgr s prm or compost s known as prmalty tstng. Thr ar prmalty tsts whch mrly tll us whthr a gvn ntgr s prm or not, wthout gvng us th factors

More information

P a g e 3 6 of R e p o r t P B 4 / 0 9

P a g e 3 6 of R e p o r t P B 4 / 0 9 P a g e 3 6 of R e p o r t P B 4 / 0 9 p r o t e c t h um a n h e a l t h a n d p r o p e r t y fr om t h e d a n g e rs i n h e r e n t i n m i n i n g o p e r a t i o n s s u c h a s a q u a r r y. J

More information

FPGA-Based Implementation Sliding Mode Control and nonlinear Adaptive backstepping control of a Permanent Magnet Synchronous Machine Drive

FPGA-Based Implementation Sliding Mode Control and nonlinear Adaptive backstepping control of a Permanent Magnet Synchronous Machine Drive WSEAS TANSATIONS on SYSTEMS an ONTO Ba Boou, Mohamm Kam, Ahm agou FPGA-Ba Imlmntaton Slng Mo ontol an nonlna Aatv bactng contol o a Pmannt Magnt Synchonou Machn Dv BADE BOSSOUFI, MOHAMMED KAIM, AHMED AGIOUI,

More information

J. Milli Monfared K. Abbaszadeh E. Fallah Assistant Professor P.H.D Student P.H.D Student

J. Milli Monfared K. Abbaszadeh E. Fallah Assistant Professor P.H.D Student P.H.D Student olng an Smulaton of Dual h Pha Inucton achn n Fault conton wo Pha cut off) an Popo A Nw Vcto Contol Appoach fo oqu Ocllaton Ructon J. ll onfa K. Abbazah E. Fallah Atant Pofo P.H.D Stunt P.H.D Stunt Amkab

More information

be two non-empty sets. Then S is called a semigroup if it satisfies the conditions

be two non-empty sets. Then S is called a semigroup if it satisfies the conditions UZZY SOT GMM EGU SEMIGOUPS V. Chinndi* & K. lmozhi** * ssocit Pofsso Dtmnt of Mthmtics nnmli Univsity nnmling Tmilnd ** Dtmnt of Mthmtics nnmli Univsity nnmling Tmilnd bstct: In this w hv discssd bot th

More information

High-Order Hamilton s Principle and the Hamilton s Principle of High-Order Lagrangian Function

High-Order Hamilton s Principle and the Hamilton s Principle of High-Order Lagrangian Function Commun. Theor. Phys. Bejng, Chna 49 008 pp. 97 30 c Chnese Physcal Socety Vol. 49, No., February 15, 008 Hgh-Orer Hamlton s Prncple an the Hamlton s Prncple of Hgh-Orer Lagrangan Functon ZHAO Hong-Xa an

More information

-Z ONGRE::IONAL ACTION ON FY 1987 SUPPLEMENTAL 1/1

-Z ONGRE::IONAL ACTION ON FY 1987 SUPPLEMENTAL 1/1 -Z-433 6 --OGRE::OA ATO O FY 987 SUPPEMETA / APPR)PRATO RfQUEST PAY AD PROGRAM(U) DE ARTMET OF DEES AS O' D 9J8,:A:SF ED DEFS! WA-H ODM U 7 / A 25 MRGOPf RESOUTO TEST HART / / AD-A 83 96 (~Go w - %A uj

More information

4.8 Huffman Codes. Wordle. Encoding Text. Encoding Text. Prefix Codes. Encoding Text

4.8 Huffman Codes. Wordle. Encoding Text. Encoding Text. Prefix Codes. Encoding Text 2/26/2 Word A word a word coag. A word contrctd ot of on of th ntrctor ar: 4.8 Hffan Cod word contrctd ng th java at at word.nt word a randozd grdy agorth to ov th ackng rob Encodng Txt Q. Gvn a txt that

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

Control system of unmanned aerial vehicle used for endurance autonomous monitoring

Control system of unmanned aerial vehicle used for endurance autonomous monitoring WSES NSIONS o SYSES ONOL oo-o h, s Nco osttsc, h oto sst o vhc s o c tooos oto EODO - IOEL EL, D vst othc o chst o Sc c, St. Ghoh o, o., 6,Scto, chst, ONI too.ch@.o htt:wwww.-cs.o SILE NIOLE ONSNINES,

More information

DO NOT SCALE I /HW/FS/035 A CONTINUED ON DRG /HW/FS/036 CUT LINE CUT LINE A428 CAMBOURNE TO CAMBRIDGE GUIDED BUSWAY

DO NOT SCALE I /HW/FS/035 A CONTINUED ON DRG /HW/FS/036 CUT LINE CUT LINE A428 CAMBOURNE TO CAMBRIDGE GUIDED BUSWAY 54372/HW/FS/35 UNSGGT KB 4m SH-US FOOTWY / CYCWY TYPC CGWY CONG OF 3.65m S N 1.m HSTPS N CCSSS TO PVT POT/FS T GNS GNTY XSTNG HGHWY UNY TON N FO CCOMMOTON TCK UNG TH FOONT XSTNG TS XSTNG HGNG/VGTTON OUT

More information

Order Statistics from Exponentiated Gamma. Distribution and Associated Inference

Order Statistics from Exponentiated Gamma. Distribution and Associated Inference It J otm Mth Scc Vo 4 9 o 7-9 Od Stttc fom Eottd Gmm Dtto d Aoctd Ifc A I Shw * d R A Bo G og of Edcto PO Bo 369 Jddh 438 Sd A G og of Edcto Dtmt of mthmtc PO Bo 469 Jddh 49 Sd A Atct Od tttc fom ottd

More information

L...,,...lllM" l)-""" Si_...,...

L...,,...lllM l)- Si_...,... > 1 122005 14:8 S BF 0tt n FC DRE RE FOR C YER 2004 80?8 P01/ Rc t > uc s cttm tsus H D11) Rqc(tdk ;) wm1111t 4 (d m D m jud: US

More information

The Fourier Transform

The Fourier Transform /9/ Th ourr Transform Jan Baptst Josph ourr 768-83 Effcnt Data Rprsntaton Data can b rprsntd n many ways. Advantag usng an approprat rprsntaton. Eampls: osy ponts along a ln Color spac rd/grn/blu v.s.

More information

A Unified Approach for Sensitivity Design of PID Controllers in the Frequency Domain

A Unified Approach for Sensitivity Design of PID Controllers in the Frequency Domain WEA TRANACTION on YTEM an CONTROL Tooran Emam John M Watkns A Unf Aroach for nstvty Dsgn of PID Controllrs n th Frquncy Doman TOORAN EMAMI JOHN M WATIN Dartmnt of Elctrcal Engnrng an Comutr cnc Wchta tat

More information

Analysis of Stresses and Strains in a Rotating Homogeneous Thermoelastic Circular Disk by using Finite Element Method

Analysis of Stresses and Strains in a Rotating Homogeneous Thermoelastic Circular Disk by using Finite Element Method Intnatonal Jounal of Comput Applcatons (0975 8887 Volum 35 No.3, Dcmb 0 Analyss of Stsss an Stans n a Rotatng Homognous Thmolastc Ccula Dsk by usng Fnt lmnt Mtho J. N. Shama Dpatmnt of Mathmatcs Natonal

More information

ADORO TE DEVOTE (Godhead Here in Hiding) te, stus bat mas, la te. in so non mor Je nunc. la in. tis. ne, su a. tum. tas: tur: tas: or: ni, ne, o:

ADORO TE DEVOTE (Godhead Here in Hiding) te, stus bat mas, la te. in so non mor Je nunc. la in. tis. ne, su a. tum. tas: tur: tas: or: ni, ne, o: R TE EVTE (dhd H Hdg) L / Mld Kbrd gú s v l m sl c m qu gs v nns V n P P rs l mul m d lud 7 súb Fí cón ví f f dó, cru gs,, j l f c r s m l qum t pr qud ct, us: ns,,,, cs, cut r l sns m / m fí hó sn sí

More information

Bayesian Credibility for Excess of Loss Reinsurance Rating. By Mark Cockroft 1 Lane Clark & Peacock LLP

Bayesian Credibility for Excess of Loss Reinsurance Rating. By Mark Cockroft 1 Lane Clark & Peacock LLP By Cly o c o Lo Rc Rg By M Coco L Cl & Pcoc LLP GIRO coc 4 Ac Th pp c how o v cly wgh w po- pc-v o c o lo c. Th po co o Poo-Po ol ch wh po G o. Kywo c o lo c g By cly Poo Po G po Acowlg cl I wol l o h

More information

The Transfer Function. The Transfer Function. The Transfer Function. The Transfer Function. The Transfer Function. The Transfer Function

The Transfer Function. The Transfer Function. The Transfer Function. The Transfer Function. The Transfer Function. The Transfer Function A gnraliation of th frquncy rsons function Th convolution sum scrition of an LTI iscrt-tim systm with an imuls rsons h[n] is givn by h y [ n] [ ] x[ n ] Taing th -transforms of both sis w gt n n h n n

More information

COMPSCI 230 Discrete Math Trees March 21, / 22

COMPSCI 230 Discrete Math Trees March 21, / 22 COMPSCI 230 Dict Math Mach 21, 2017 COMPSCI 230 Dict Math Mach 21, 2017 1 / 22 Ovviw 1 A Simpl Splling Chck Nomnclatu 2 aval Od Dpth-it aval Od Badth-it aval Od COMPSCI 230 Dict Math Mach 21, 2017 2 /

More information

Optimum Maintenance of a System under two Types of Failure

Optimum Maintenance of a System under two Types of Failure ntnatonal Jounal o Matals & tutual lablty Vol.4, o., Mah 6, 7-37 ntnatonal Jounal o Matals & tutual lablty Otmum Mantnan o a ystm un two ys o alu.. Baía * an M.D. Ba Datmnt o tatsts, C... Unvsty o Zaagoza,

More information

Localisation of partial discharges sources using acoustic transducers arrays

Localisation of partial discharges sources using acoustic transducers arrays Comput Applcatons n Elctcal Engnng Vol. 4 Localsaton of patal schags soucs usng acoustc tansucs aays Flp Polak, Wojcch Skosk, Kzysztof Soła Poznań Unsty of Tchnology 6-965 Poznań, ul. Potowo a, -mal: Kzysztof.Sola@put.poznan.pl

More information

The Random Phase Approximation:

The Random Phase Approximation: Th Random Phas Appoxmaton: Elctolyts, Polym Solutons and Polylctolyts I. Why chagd systms a so mpotant: thy a wat solubl. A. bology B. nvonmntally-fndly polym pocssng II. Elctolyt solutons standad dvaton

More information

Outlier-tolerant parameter estimation

Outlier-tolerant parameter estimation Outlr-tolrant paramtr stmaton Baysan thods n physcs statstcs machn larnng and sgnal procssng (SS 003 Frdrch Fraundorfr fraunfr@cg.tu-graz.ac.at Computr Graphcs and Vson Graz Unvrsty of Tchnology Outln

More information

Lecture 08 Multiple View Geometry 2. Prof. Dr. Davide Scaramuzza

Lecture 08 Multiple View Geometry 2. Prof. Dr. Davide Scaramuzza Lctr 8 Mltpl V Gomtry Prof. Dr. Dad Scaramzza sdad@f.zh.ch Cors opcs Prncpls of mag formaton Imag fltrng Fatr dtcton Mlt- gomtry 3D Rconstrcton Rcognton Mltpl V Gomtry San Marco sqar, Vnc 4,79 mags, 4,55,57

More information

Executive Committee and Officers ( )

Executive Committee and Officers ( ) Gifted and Talented International V o l u m e 2 4, N u m b e r 2, D e c e m b e r, 2 0 0 9. G i f t e d a n d T a l e n t e d I n t e r n a t i o n a2 l 4 ( 2), D e c e m b e r, 2 0 0 9. 1 T h e W o r

More information

Grid Transformations for CFD Calculations

Grid Transformations for CFD Calculations Coll of Ennn an Comput Scnc Mchancal Ennn Dpatmnt ME 69 Computatonal lu Dnamcs Spn Tct: 5754 Instuct: La Catto Intoucton G Tansfmatons f CD Calculatons W want to ca out ou CD analss n altnatv conat sstms.

More information

Payroll Direct Deposit

Payroll Direct Deposit Payroll Dirct Dposit Dirct Dposit for mploy paychcks allows cntrs to avoi printing an physically istributing papr chcks to mploys. Dirct posits ar ma through a systm known as Automat Claring Hous (ACH),

More information

Die Mounted Cam Unit General Description of KGSP

Die Mounted Cam Unit General Description of KGSP D Mond Cam Un Gnal Dscpon of UHav d sc ha confoms o hgh podcon ns. U,,, 0mm and 0mm a avalabl fo h monng dh. UAvalabl angl s 0 o a ncmns of 5. U IO spngs a sd. Opon of U Mc pcfcaon(-) / LU32-(h 3-M8p5

More information

THIS PAGE DECLASSIFIED IAW E

THIS PAGE DECLASSIFIED IAW E THS PAGE DECLASSFED AW E0 2958 BL K THS PAGE DECLASSFED AW E0 2958 THS PAGE DECLASSFED AW E0 2958 B L K THS PAGE DECLASSFED AW E0 2958 THS PAGE DECLASSFED AW EO 2958 THS PAGE DECLASSFED AW EO 2958 THS

More information

Genetic Algorithm Based Optimal Control for a 6-DOF Non Redundant Stewart Manipulator

Genetic Algorithm Based Optimal Control for a 6-DOF Non Redundant Stewart Manipulator ntenatonal Jonal of Mechancal, ndstal and Aeosace Engneeng : 8 Genetc Algothm Based Otmal ontol fo a 6-DOF Non Redndant tewat Manlato A. Oman, G. El-Baym, M. Bayom, and A. Kassem Abstact Alcablty of tnng

More information