Load Relief Control System for Launch Vehicle based on Acceleration Feedback

Transcription

1 IOSR Jour of Eetr Eetro Egeerg IOSR-JEEE e-issn: ,p-ISSN: PP -0 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk Joy Joh Deprtet of Eetr Egeerg, Coege of Egeerg rvru, I Abtrt: uh vehe experee gft turbe oet the topher phe. Durg the hgh y preure rego, w ue to ge of ttk reg the eroy trutur o. C tttue otro be o gur poto rte feebk ze trjetory pero prove o reuto. o reef yte ue to ze the eroy o wth eptbe trjetory pero. h pper e wth tttue otro o reef otro be o eerto feebk. Cotro g re ege by poe peet etho oerg rg boy y. Fexbe y o oere eprte fter ege for both e to tfy the rg fexbe rg. he o reef effet of both e exe the preee of w. eywor: Atttue Cotro, Fexbe Dy, o Reef Cotro, Poe Peet etho, Rg boy Dy. I. Itrouto he prry objetve of uh vehe otro yte to tbze the vehe urg fght preee of vrou turbg fore oet to ke the vehe foow the teerg o. Coveto tttue otro yte be o rft u otro ue gur poto rte feebk to ze the trjetory pero. Drft u otro y ot eet the reureet of owbe o t preee of w turbe [], []. he otro yte ut be oere wth o reutg fro fore uh topher fore, propuve fore, eroy fore et. hee fore og wth ge of ttk ue trutur o. he vehe truture etere the owbe o t beg oet. he jor turbe to the uh vehe urg the hgh y preure pero the -fght w, t ue extr eroy o ue to the w ue ge of ttk. o reef yte ue to eree the eroy o by reug the ge of ttk [3], [4]. o reef tehue re of two type- tve pve. he pve o reef tehue hghy ree o the ury of the prete w t. Pve yte for o reuto rey o boo w eureet yte, uh jphere or rwoe boo, to etere the w pee reto t hgh ttue. he oveet or rft of the boo geery eure wth grou be rr trkg yte. hee w eureet yte o ot eure the w pee reto og the tu expete fght pth of the vehe ue to the ote w rft of the boo. Se w pee reto re otty hgg, the tu w experee by the uh vehe urg fght be gfty fferet fro thoe eure pror to fght [5]. hu reerh tve tehoogy h ge ore tteto. Atve o reef etho ue feebk be o ge of ttk, eerto et. to reue the eroy o. he fght otro yte ege wth tve o reef feebk oop for the uh vehe to reue the rfre og the hgh y preure pero of fght whe w veote proue the rget vehe beg oet. he te of uge epeet o the eete otro w. Cotro w properte rge fro thoe whh proue rge o reef oupe wth rge trjetory pero to thoe whh ze trjetory pero proue o reef [6]. I th pper, o reef otro yte be o eerto feebk yze t hgh y preure pero opre wth tttue otro yte. Poe peet etho ue to eg the otro g vue. Both rg boy y fexbe y of the yte tue utbe fter to tfy perfore rg ege. Perfore of o reef yte preee of w turbe exe opre wth the tttue otro yte. II. Mthet Moeg Atttue otro yte of uh vehe yze ug the hort pero y. Dfferet upto ue for eveopg the y re te e pproh, ge pproxto, eoupg of tttue y egete o-erte. A bove upto e to er e Ivrt I properte of the yte. Both rg boy fexbe boy oto expree hort pero y. Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo Pge

2 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk Fg. Geoetry of uh vehe pth pe. Rg Boy Dy he het gr of uh vehe geoetry pth pe gve Fg.. A rght h oorte yte where the X x og the vert x Z x og the horzot reto ue. Boy fxe referee fre X B, Y B, Z B whh fxe to the vehe uh tht org ote t the vehe geoetr etre. he oto w be erbe wth referee to ert oorte yte X I, Y I, Z I []. et θ be the tttue ge V be the retve veoty vetor of the vehe. he fore tg o Z reto ter of or x fore opoet be wrtte Z Do90 o o where of the vehe, θ the pth tttue ge, Aeroy ft fore tg o the yte per ut ge of ttk, tot thrut fore, D x fore tg o the yte, δ ege efeto ge otro torue. For thrut vetor otro of uh vehe, thrut vetor efete by ge δ gvg otro thrut. By ge pproxto beoe Z D where = δ the e fore per ut pte efeto. Seory Ijeto hrut Vetor Cotro oere. hu be wrtte Z D 3 V V V V Su of oet ue by thrut ft fore gve the tot oet tg bout eter of grvty of the yte I 4 yy where eroy oet oeffet I yy 5 I veoty w veoty w gve the effetve w veoty vetor. he ge betwee boy x the reutt veoty vetor gve the tot ge of ttk. hu ge of ttk, the vetor u of three ge. Z 6 θ w V Iterto Coferee o Future ehoogy Egeerg ICFE 6 3 Pge Coege of Egeerg Peruo yy the otro oet oeffet, the te fro etre of preure to org of boy x pth pe, te fro org of boy x yte to ege wve pot I yy the oet of ert bout pth x. Z the ert rft veoty V Z gve the ge of ttk ue to rft. Reutt of retve vehe

3 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk Iterto Coferee o Future ehoogy Egeerg ICFE 6 4 Pge Coege of Egeerg Peruo where w ge of ttk ue to w gve by V V w w. Euto for ter eerto be wrtte b Z 7 where the te of eeroeter to etre of grvty. he trfer futo for org to the bove rg boy euto of oto be erve where V D, V, V,, V V V, 3, 4 V D 0. Fexbe Boy Dy he tftory perfore of utopot otroe fexbe uh vehe epe o the urte repreetto of the vehe et oto uer prerbe fore. h ue to the ft tht the fore oet ppe by propuo eve ree o the output fro the eor. h output ue g repreetg both the rg boy oto o et torto. herefore uer vere oto, the utopot w t to refore the ptue of oto eg uttey to trutur fure of vehe. he et efeto re repreete ter of free oe of vbrto of the yte []. he et efeto t y pot og the vehe gve, t t where, t beg efeto pth pe, t geere o-orte of th beg oe the ore oe hpe of th beg oe. h tfe the beg euto gve beow ] [ M Q where F Q z 0 the geere fore for the th beg oe M 0 the geere for th beg oe. z F the or fore o the vehe the reue per ut egth og ogtu x of vehe. I o reef yte, three eor re reure- poto gyro, rte gyro eeroeter. he output of thee eor be thu obte Poto Gyro Output P θ θ 3 Rte Gyro Output R θ θ 4 Aeeroeter Output 0 t f U 5

4 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk where the egtve ope for th beg oe t the eor oto. t te the thrut oto eeroeter oto. III. Cotroer Deg he oveto tttue otro w ofe by orportg eerto feebk oop orer to tt the o reef feture. hu the o reef otro w obte [ ] 6 A R z where A the forwr g the poto gyro g, R the rte gyro g z the eeroeter g. he otro g vue re ege ug poe peet etho to obt reure pefto. he eg rre out t regur terv of te urg fght trjetory the g heue thu rrve. he eg pefto rg boy tutor pefto be trfore to ere poe oto -pe. G vue re opute by eutg the oeffet of ke power yte hrtert euto the ere hrtert euto [7]. he vtge of th etho tht we w get oe for expreo for g futo of vehe preter pe poe. he o reef otro ttepte t hgh y preure rego where the w beoe potety gerou.e. fro 40 to 70 eo of fght te. Coveto tttue otro ppe urg reg te. h prove urte otro otet wth the trutur tregth of vehe [4]. 3. Rg Boy Deg Fg. Bok gr of rg boy o reef otro Fg. how the o reef otro yte wth eerto feebk oop. Atttue otro obte whe th oop opee.e. z 0 et eu to. he g vue of both tttue otroer o reef otroer re ute ug poe peet etho. Rg boy y oere whe utg g vue. Dere poe oto ue the rg boy poe, tutor poe rft poe. Oe to eeroeter poe oe whe o reef feture epoye. Rg boy tur freuey tke 4 r/ pg rto, 0.8. Atutor tur freuey, tke 4.5Hz pg rto, Seo orer eor y ue wth tur freuey, =7.5Hz pg rto, = he ere rg for rg boy y re Aero Mrg AM G Mrg GM>6B Phe Mrg PM> Atttue Cotro: For tttue otro, the ere poe re tke p, jb j to obt ffth orer ere hrtert euto. he g vue A ute for 00 fght te how Fg. 3. R Fg. 3 G vue for tttue otro Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo 5 Pge

5 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk At =Igto+ 50 the g vue obte wth tttue otro re A =0.356, R =0.456 =. he perfore wth ege g vue evute by tkg Boe Nyut pot. he rg boy tttue otro eg ye uffet rg of AM=8.3B, GM=3.B PM=46.. At -te tt, the rg re fou to be tfe. 3.. o Reef Cotro: I o reef otro, the ere oe oop poe tke re p, p, p3 f j. A eeroeter fter wth f =3 ue for fterg the eerto g f o to prove ooth g. he rft poe ue t -0.0 the -pe. For the ey y, euvet frt orer tutor wth =9 ue whe ervto. hu ffth orer yte hrtert euto obte wth euvet frt orer tutor. For other y, eo orer tutor ue. he otro g vue opute re how Fg. 4. Fg. 4 G vue for o reef otro At =Igto+ 50, the g vue obte ug o reef otro re A =0.537, =0.3758, R =0.460 z = he rg obte wth rg boy o reef otro eg re AM=9.8B, GM=.7B PM=45. At 50 for te tt the rg re tfe. 3. Fexbe Boy Deg Fexbe y ue the yte by troug frt two beg oe. Wth uo of fexbty, the Beg Moe g Phe Mrg BMPM hou be greter th 60. Whe yzg the freuey repoe pot of otroe yte, t etfe tht the ere perfore pefto re ot et whe fexbty troue. I orer to heve uffet rg, fter h to be ege for both tttue otro o reef otro. 3.. Atttue Cotro: g-e opetor C ege for 0 to 40, 40 to to 00 3 terv of fght te to heve the rg boy fexbe rg. For 0 to 40: C For 40 to 70: C For 70 to 00: C Fg. 5 Boe Nyut pot of opete tttue otro yte Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo 6 Pge

6 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk he Boe Nyut pot of opete yte t 35 8 how Fg. 5. he rg of opete yte t 35 re AM=0.B, GM=9.33B, PM=38.7, BMPM=60. t 8 re AM=9.77B, GM=.7B, PM=4.5, BMPM=93.3. hu rg re tftory wth ege opetor t both te tt. 3.. o Reef Cotro: Due to eerto feebk the beg oe pek hve goe up. So oth fter reure to tteute the beg oe pek for g tbto. Noth fter, N ege for epth of 30B. Further g-e opetor, C ege to tfy the rg boy fexbe rg. For 40 to C N Fg. 6 Boe Nyut pot of opete tttue o reef otro yte t 50 he Boe Nyut pot of opete o reef yte og wth opete tttue otro yte t 50 how Fg. 6. he opete yte wth oth fter g-e opetor prove eptbe rg of AM=0.4B, GM=7.64B, PM=44.5 BMPM=37 t 50. Pure tttue otro t 50 ye AM=8.0B, GM=9.86B, PM=34.4 BMPM=60.8. IV. Reut Duo he fter ege for both tttue otro o reef otro fou to prove uffet tbty rg.he rg obte for fferet te tt how Fg. 7. Fg. 7 Mrg of opete yte wth tttue otro o reef otro e o y of the yte wth tttue otroer o reef otroer rre out by yg the tep repoe of yte. he repoe of both yte wth ut tep referee tttue t 50 how Fg. 8. he tttue otroer ye overhoot of 33.7 % tttue error of 0.0 whh tfe the reure pefto of overhoot<35% tttue error< urg tttue otro. he tttue error hou be e th 3 whe the o reef otroer epoye. he tttue error obte wth o reef otroer t whh we wth the t. It er fro the repoe tht trjetory pero ore opre to tttue otro. h ue to the ft tht ter rft urg o reef otro ore e the vehe ture to w to eree the ter fore. Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo 7 Pge

7 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk Fg. 8 Step repoe of tttue otro o reef otro yte t 50 Fg. 9 Age of ttk eerto repoe to ut tep tttue t 50 he ge of ttk eerto repoe wth ut tep referee tttue re o how Fg. 9. It er fro the repoe, tht tttue otro gve hgher vue of ge of ttk eerto. Both ge of ttk eerto be oere eure of o tg o the yte.hee repoe te tht o reef otroer heve better o reuto opre to the tttue otroer. Fg. 0 Age of ttk eerto repoe of tttue otro o reef otro yte wth potve w gut he repoe of the yte wth potve egtve w gut ye to hek for the o reuto pbty of ege yte preee of w turbe. he potve egtve w gut repoe re how Fg. 0 Fg.. Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo 8 Pge

8 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk Fg. Age of ttk eerto repoe of tttue otro o reef otro yte wth egtve w gut I e of tttue otro, ge of ttk ree but t eree whe o reef otro epoye. Aeerto repoe of o reef otroer o fou to be ower vue opre to tttue otroer both potve egtve w gut e. Age of ttk reuto bout 30 % eerto vue reue bout 35%. Fg. Boe gtue pot howg eroy o reuto Boe gtue pot of o be ye to hek for eroy o reuto. Pek gtue of w boe pot.9 wth tttue otro.83 wth o reef otro how Fg.. hu the eroy o reuto heve wth o reef otroer bout 35%. V. Couo he o reef otro yte be o eerto feebk tue th pper. Atttue otro g re ege for etre fght te o reef otro g be o eerto feebk re ege for the hgh y preure pero oerg the rg boy y. Fexbe y troue utbe fter re ege. he ege yte fou to tfy reure rg t te tt. he yte perfore exe by ppyg ut tep referee tttue w gut. Fro the reut, t er tht trjetory pero ore whe o reef otro ebe but gft o reuto heve preee of w. hu o reef otro be ttepte urg pef fght pero,where the o exee the owbe t. A future work, o reef otroer be ye by repg eroy o wth w profe to get the re te effetvee of the ege otroer propet ohg o be ue uh vehe y. Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo 9 Pge

9 o Reef Cotro Syte for uh Vehe be o Aeerto Feebk Akowegeet he uthor grtefuy kowege Shr J. Sureh Bbu Shr D. rthkey, Vkr Srbh Spe Cetre, hruvthpur for ther otrutve uggeto eourgeet urg vrou phe of reto of th work. Referee [] H. H. Burke, Aeroy o reuto tehue for rge et uh vehe, IEEE rto o Autot Cotro, 94, 964, [] A.. Greete, Ay eg of pe vehe fght otro yte Sprt Book, Whgto, 967. [3] J. M. vgto J. R. Reu, o reug fght otro yte for the Stur V wth vrou pyo, AIAA gue, otro, fght y oferee, 968. [4] W. J. ek, A ptve yte for o reef urte otro of uh vehe, AIAA t Au Meetg, 964. [5] R. S. Ry, D.. Mowery, S. W. Wer, Fuet oept of trutur og o reef tehue for the pe hutte, NASA teh report, 97. [6] J. H. Bktoe, Curret eg tehoogy of tttue otro yte for rge uh vehe, AIAA gue, otro, fght y oferee, 968. [7] N. V., Prt eg of fght otro yte: Soe probe ther outo, Defee See Jour, 553, 005,. Iterto Coferee o Future ehoogy Egeerg ICFE 6 Coege of Egeerg Peruo 0 Pge