Reconfiguration for Sensor Failure of Aero-engine Electronic Control System Based on the MRAC

Transcription

1 lid Mchaics ad Maials Sbid: 4-6- SSN: , ols. 6-65, ccd: 4-6- doi:.48/ Oli: ras ch blicaios, Swizrlad Rcoigraio or Ssor ailr o ro-gi Elcoic Cool Sys asd o h MRC Zhibo Shi, a, ao Li, b ad Da S, c Roboics si, roaical oaio Collg, Civil viaio Uivrsiy o Chia, iaji 33, Chia; iaji y Laboraory o Civil ircra irworhiss ad Maiac, Civil viaio Uivrsiy o Chia, iaji 33, Chia. a zhiboshi@6.co, b li@ cac.d.c, c sda@cac.d.c ywords: Rcoigraio, al-olra, MRC, ro-gi cool sys, ssor ailr bsac. h ar, h al-olra cool sagy or h aro-gi lcoic cool sys is rsarchd basd o h Modl Rrc daiv Cool hod. h dsig rocss, a w rrc odl dsig hod is roosd wih h Raccai qaio, which ca gara h rcoigraio sys hav saisacory rorac. ccordig o h ssor ailr odls, h ailr sys ahaic odl is giv. Lyaov sabiliy hory was alid o obai h adaiv cool law hrogh dsig a Lyaov cio, which ca sr h sicly osiiv ralss ad global asyoic sabiliy or h rcoigraio cool sys. or h yical ssor ailrs, h rcoigraio c wih h cool sagy is silad ad vriid i h Malab, which rvald ha h aro-gi cool sys cold ora wll dr h ailr wih h al-olra cool. odcio ro-gi is o o h iora coos o civil aircra,ad i is a colicad, o-liar ad livariabl cool objc []. D o h harsh viro o is work i high ar ad high rssr, h cool sys shold hav high rliabiliy o sr h oral rig o h gi. Oc h sys ailr has which wold lad o disasos cosqcs []. h objc o C i h aro-gi is ssors grally, bcas h ssors blog o h coo rliabiliy lowr sys. al-olra cool C is h civ chology o solv h robl [3,4]. Wih h dvlo o h cool sys o irov rliabiliy ad scriy rqirs, C o aro gi cool sys has bco o o h os iora syss o h dsig ad irworhiss validaio. h icrasig iorac o al-olra cool C has hld o sila a growig body o rsarch work i h ara. C is sally dividd io wo cagoris: aciv al-olra cool ad assiv al- olra cool [5,6]. civ C chology ca b idd o h al dcio chais, ad hav a dirc oli rcogiio o h sys ailrs o dsig h al olra cool law dyaically coar o h assiv C. Wih h ll ahoriy digial lcoic coollr DEC is widly sd i aro-gi, h aalyical rddacy o gi cool sys al-olra rcoigraio ca b sd i h sowar dsig o h cool sys. So aciv C coard wih assiv C has gra libiliy ad highr alicaio val i h DEC, which will rhr irov is rliabiliy. robl orlaio daiv C o h aro-gi cool sys shold hav a liar odl o aro-gi irsly, ad wh h ssor ailr, h ilc o h sys ca b dscribd by his odl. O his basis, h adaiv al-olra cool ca b dsigd. ll righs rsrvd. No ar o cos o his ar ay b rrodcd or asid i ay or or by ay as wiho h wri rissio o ras ch blicaios, D: , sylvaia Sa Uivrsiy, Uivrsiy ark, US-/5/6,9:5:49

2 368 dvacd Maacrig ad oraio Egirig, llig saio ad dsy Dvlo h oliar odl o h aro-gi ca b wri as:, y h, r whr R is h vcor o sa variabls, R is h cool i vcor, y R is h h o vcor. Wh h aro-gi workig codiios was diig, h liar odl ca b gaid i h sady-sa oi,, which ca b wri as: y y C D whr,,c,d ar h sa ara ai, ad ar h rrbaio ara ai. or h ssor ailr, i aars as h ssor radigs iaccra which ca b dividd hr cagoris: ssor sickig, ssor cosa gai variaio ad ssor cosa dviaio. h odlig or ssor ailr will b iodcd [7].. Ssor sickig. L o is h acal o o h i h ssor, so h ahaic odl ca b wri as o ai, whr a i is a cosa which rrss a id ssor o.. Ssor cosa gai variaio. h odl ca b wri as o b*, whr is h asr ad b is h roorioal cosa coici which rrss h icicy o ssor ailr. 3. Ssor cosa dviaio. h odl ca b wri as o b, whr b as h rror bw h asr ad h o val. ccordig o h dscriio abov ailr ys, gral rssios ca b wri as qaio 3 o h ssor ailrs as o 3 whr rrss h o dr ssor ailr, is h val o ssor ailr, is h i ai ad diag{,,..., }, i R, i,,...,. i rrss h i h ssor ailr ad locaio. Wh h i h ssor is ailr, i, ohrwis i.ccordig o qaio ad qaio 3, h liar sa sac odl dr h i ssor ailr ca b wri as 4 y C Dsig ad Sabiliy alysis o al-olra Rcoigraio Sys al-olra Cool asd o MRC chology. ssig h sa variabls o sys ca b obsrvd lly ad h sa qaio ca b wri as 5 whr is a -disioal sa vcor, is a -disioal cool sa vcor, R is cosa sa ai ad ca b wri as R is i cosa ai. h rrc odl which is slcd r 6 whr is a -disioal sa vcor, r is a -disioal i sa vcor, R is cosa sa ai ad R is i cosa ai. hor Lyaov liar i-ivaria asyoic sabiliy. or h liar i-ivaria sys,,, h cssary ad sici codiio o h asyoic sabiliy o h qilibri sa is ha: or ay giv osiiv dii ai Q, hr is oly a syic osiiv dii ai ak h qaio b sablishd Q 7

3 ccordig o h qaio 4, his ca b s as h sys i h qaio 5. h rcoigraio cool vcor ca b cosid by h d-orward sigal r, h dback sigal ad a cosad vcor, which ca b wri as r ad 8 So h sa vcor l rror diria ca b wri as r r 9 whr,. h dsig is o id h adaiv cool law ad which ak h rror ior covrgc, ha is li. ro h qaio 7, w ca g h sys is o b sabl, h codiio shold b saisid as qaio accordig h hor. So w hav h adaiv cool law by h qaio 7, qaio -: r Sabiliy alysis o h Rcoigraio Sys ad Modl Dsig. ccordig o h Lyaov sabiliy hor, h Lyaov cio ca b wri as 4 whr R is a syic osiiv dii ai which saisis h qaio Q i h hor.ad R, R ad R all ar h syic osiiv dii ai. is h sig o ac. So w ca g h qaio by h hor. ] [ Q r Q r 5 h qaio ca b obaid ro h qaio 4, so w hav < d Q 6 which as ha h global sabiliy o h sys ca b garad by h Lyaov cio 4, i ohr words, h closd-loo sys is iorly lia bodd o ay sigal, which as li. hs, w ca g h hor basd o h abov. hor. or h aro-gi cool sys dscribd by h qaio ad h ailr odl 4, i w ado MRC cool hod o rcoigr h sys, accordig o h adaiv cool law 3, which ca ak h ailr cool sys o b sabl ad g robs o h rrbd syss. cas h liar h aro-gi dyaic odl is a rrbd syss which is dscribd by h qaio, so h rrc odl cao slc i, which shold b a sabl sys ad hav b cool c. N, w will roos a dsig hod or h rrc odl basd o h Raccai qaio. or h sys qaio, w ca giv a rorac id cio o ak i g global sabiliy. h rorac id cio ca b wri as lid Mchaics ad Maials ols

4 37 dvacd Maacrig ad oraio Egirig, llig saio ad dsy Dvlo J, [ Q R] d 7 whr Q, R >. oial rglaor ca b dsigd, whr R, is h syic osiiv dii solio o h Riccai qaio8: R Q 8 So h sa ai o h rrc odl ca b wri as R 9 Silaio ad alysis h scio, h aro-gi odl ca b slcd as qaio i h oraig oi.3 94, h sa ai is ha : Ma, % L ,, C, D H 5k, ig. Sys o o h rrc odl ad acal odl ig. Sys o o h rrc odl ad al-olra cool wiho al ig. 3 Sys o o h rrc odl ad al-olra cool wih 5% loss

5 lid Mchaics ad Maials ols ccordig o h qaio 9, h rrc odl ca b obaid: ,, C C, D D h silaio o h al-olra sys is show i h igrs. ig. is h sys o o h rrc odl ad acal odl. ro h coar, rrc odl rorac is b ha h acal, which has h robs rorac v wiho h al wih h LQR cool. s show i h ig. o ig.4, wh al aars i h ssors drig oraio, h al-olra cool ca rcoigr aro-gi rorac accordig o h MRC o k oraig saly. h silaio rvals ha dr a variy o ssor als, as h icicy loss, dviaio ad sck, h chology basd o h Raccai qaio ad MRC cold iish h rcoigraio ad h sys oial cool o h aro-gi. Sary ig. 4 Sys o o h rrc odl ad al-olra cool wih % dviaio h coibio, a w dsig hod o h al-olra rcoigraio rrc odl is roosd basd o h Raccai qaio oial hory. h h adaiv al-olra rcoigraio o h ssors ailrs is giv accordig o h Lyaov sabl hor which is rovd hrogh h Lyaov cio. h rcoigraio cool sys cold b h sicly osiiv ralss ad global asyoic sabiliy ad iish h rcoigraio ad h sys oial cool o h aro-gi. h vriicaio i h Malab shows ha h aro-gi cool sys cold ora wll dr h ssors ailr hrogh h rcoigraio basd o MRC. Rrcs [] Salr D C, Ydavalli R, larkar R, civ al olra Modl rdiciv Cool o a rboa Egi Usig C-MSS4 JSME h Moio ad ibraio Corc. rica Sociy o Mchaical Egirs,, [] a L L, Sog Y D: E,, 64: [3] Rao N : DRDO Scic Sc, 9: -5. [4] Yag X M, Go L, Sh Q: Elcoics ad Sigal rocssig, Srigr rli Hidlbrg, : [5] rhag M, av S, Hallozi R, al. al olra ligh cool-a srvy. al olra ligh Cool. Srigr rli Hidlbrg, : [6] Haay M, Edwards C, lwi H: EEE, : [7] Garg S, Schadow, Hor W, al. Ssor ad acaor ds or or illig gas rbi gis. SME rbo Eo : owr or Lad, Sa, ad ir. rica Sociy o Mchaical Egirs, :

6 dvacd Maacrig ad oraio Egirig, llig saio ad dsy Dvlo.48/ Rcoigraio or Ssor ailr o ro-egi Elcoic Cool Sys asd o h MRC.48/