On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

Embed Size (px)

Citation preview

  • 8/17/2019 On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

    1/6

    Cntfrnetcmneg @murneg mi _momtcks, Ymg.?, Nm.5, (?255)/E. Tmhcdc, L. L.Lmjheddel, E. Hedc 

    5?

    Mn thf Dfscjn end Tfst mi e Rrmtmtypf mi Ocpfd

    Ektuetfd oy [hepf Lflmry Eggmys 

    Elcn Tmhcdce, Le`cd L. Lmjheddel

    e end Egcrfze Hedc

     o 

    e- Elcn Tmhcdc0 Lfkhenckeg Fnjcnffrcnj Dfpt., Terocet Lmderfs Vncvfrscty, Tfhren, 54556-555, C_EN Tfg0 +38 ?5 8?8;;681 F-lecg0

    elcntmhcdcB lmderfs.ek.cr, end l.lmjhedelB lmderfs.ek.cr

     o- Egcrfze Hedc, Rh.D. Jreduetf, Vncvfrscty mi Tfhren, F-lecg0 hrhedcBut.ek.cr

    E _ T C K G F C N I M E O [ T _ E K TAfywmrds0 Ocpfd rmomt,

    [LE Ektuetmr

    6DMIs

    Cn thcs pepfr thf dfscjn mi e ocpfd rmomt ektuetfd wcth [hepf Lflmry Eggmy

    ([LE) sprcnjs wcth lcnclul dfjrffs mi irffdml cs prfsfntfd. [LE sprcnjs erf e

    kgess mi slert letfrcegs thet erf anmwn imr thfcr hcjh pmwfr tm less end vmgulf

    retcms. Ct wes shmwn thet utcgczcnj sprcnj typf mi [LEs hevf leny edventejfs es

    gerjf dfimrletcmn, slmmth lmtcmn, scgfnt end kgfen lmvflfnt kmlperfd tm

    mrdcnery typf mi ektuetmrs. Cn thcs wmra e Ocpfd rmomt ektuetfd thrmujh [LE

    sprcnjs wcth imur DMIs cs lmdfgfd end dfscjnfd. Zegacnj tre`fktmry cs jfnfretfd

    vegcdetcnj thf Pfrm Lmlfnt Rmcnt (PLR) Krctfrce end thf nulofr mi DMIs cs

    lmdcicfd ekkmrdcnjgy. Tm vfrciy thf dfscjn, ekmlpgftf lmdfg mi thf ocpfd

    ektuetfd wcth [LE cs lmdfgfd thrmujh kmlputfr sclugetcmn cn LETGEO end

    Ycsueg Nesteren. Icneggy tm vegcdetf thf rfsugts, e prmtmtypf cs lenuiekturfd end

    tfstfd. Fxpfrclfnteg rfsugts shmwfd rfesmneogf ejrfflfnt wcth sclugetcmn rfsugts.

    5. Cntrmduktcmn

    Lmst mi ocpfd wegacnj rmomts kmnscsts mi ektuetmrs

    (hfevy sfrvmlmtmrs), trenslcsscmn systfls (jferomx)

    end leny DMIs tm gmkmlmtetf (Q5, ?, ;\), rfsugtcnj cnrfgetcvfgy hfevy (end gerjf) wegacnj rmomts.

    _fkfntgy, lcnceturczetcmn end sclpgcicketcmn mi rmomts

    hes rfkfcvfd cnkrfescnj ettfntcmn imr lugtc-purpmsf usf.Cn pertckuger, thf sclpgcicketcmn mi ocpfd wegacnj rmomts

    cs en cntfrfstcnj end kheggfnjcnj prmogfl. Thf icrst stfp

    mi sclpgcicketcmn cs tm dfgftf fxtre perts mr unnfkfssery

    DMIs. Es wf anmw, nmnf mi thf fxcstcnj ocpfd wegacnjrmomts cs undfr : DMIs. Cn thcs pepfr, wf prfsfnt e

    wegacnj rmomt thet gmkmlmtf thrmujh mngy6 DMIs.Iurthfr, tm rfdukf thf sczf end wfcjht mi thf rmomt, wfdfkcdfd tm usf thf [LE oesfd sprcnj letfrcegs tm

    ektuetf thf gfjs mi thf ocpfd.[LE kmlpmsctfs erf kgess

    mi slert letfrcegs thet erf anmwn imr thfcr hcjh pmwfr

    tm less end vmgulf retcms. Thfsf ektuetmrs hevf lenyedventejfs es gerjf dfimrletcmn, slmmth lmtcmn, scgfnt

    end kgfen lmvflfnt. Thfsf typfs mi ektuetmr dmn–t

    nffd eny guorcketcmn mr prmtfktcmn irml dust.

    [mn end Oul cn ?225 cntrmdukf e quedrupfd rmomt wcth

    [LE wcrf ektuetmrs, [LEs cs usfd cn reka end pcncmn

    lfkhencsl tm trensifr imrkf tm spffd Q4\. Gcu end Gcemcn ?224 usfd [LEs cn e sneaf rmomt eogf tm khenjf cn

    gfnjth wcth sfvfreg lmdugfs Q6\. Ncshcde cn ?229 tfstfd

    icrst prmtmtypf mi ocpfd rmomt wcth [LE ektuetmrs. Cn

    iekt, thcs rmomt sgcdcnj mn suriekf end ken't tm gmkmletfQ9\. Fsiehenc cn ?22: dfscjnfd `mcnt ektuetfd oy [LEs,

    sucteogf imr ocpfd rmomt, out nfvfr lenuiekturcnj e

     prmtmtypf Q:\. Vrete end Smshcaec studcfd mn e `mcnt thet

    sujjfstfd imr quedrupfd Q8\. Ekkmrdcnj tm prfvcmus

    wmras, up tm nmw, nm ocpfd rmomt ektuetf oy [LEs theteogf tm gmkmletf nmt cntrmdukfd. Hmwfvfr, thf kmntrmgs

    mi thf [LEs erf e ocj kheggfnjf spfkceggy imr wegacnjrmomt eppgcketcmns. Cn thcs wmra, thf mn/mii (swctkhcnj)

    lfthmd cs clpgflfntfd imr thf kmntrmg purpmsfs. Thf

    lfthmd utcgczfs thf enjuger pmsctcmn mi thf `mcnts end

    kmlpfnsetfs thf frrmrs mi thf [LE pmsctcmn tm lmvfthf gfjs mi thf ocpfd.

  • 8/17/2019 On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

    2/6

    Cntfrnetcmneg @murneg mi _momtcks, Ymg.?, Nm.5, (?255)/E. Tmhcdc, L. L.Lmjheddel, E. Hedc 

    5;

    Icj. 50 Lmdugf perts

    ?. Thf _momt Dfscjn

    Thf dfscjn mi thf rmomt kmnscsts mi twm perts0

    lfkhenckeg dfscjn end fgfktrckeg dfscjn. Thf

    lfkhenckeg dfscjn cs dcvcdfd tm twm perts oy ctsfgi0 thf

    lmdugf end thf omdy dfscjn.

    Icj. ?0 Thf lenuiekturfd lmdugf

    ?.5. Thf Lmdugf Dfscjn

    Thfrf erf smlf studcfs mn [LE lmdugf (`mcnt), Q6, 3\.

    Gcu end Gcem cntrmdukf e lmdugf wcth mnf DMI, Q6\.Thcs lmdugf cs vfry sclpgf out thf dfigfktcmn cs gclctfdend ct hes `ust mnf DMI, out gmkmlmtcmn nffds et gfest

    twm DMIs. Scnj end Zenj prfsfntfd e twm DMIs

    lmdugf thet rfvmgvfd cn tm pgenf Q3\, thcs lmdugf hes

    hcjh gmst mi fnfrjy ofkeusf mi ircktcmn cn kmntekt mi[LE wcndcnj mn dcsa. Tm prmvcdf twm DMIs, gerjf

    dfigfktcmn end rfdukf ircktcmn, Hedc dfvfgmpfd thf

    Ifgfxcomt whckh cs shmwn cn Icj.5, Q52\. Icj.? shmws

    thf lenuiekturfd lmdugf.

    Thcs lmdugf kmnscst mi : perts, twm iget pgetf, twm V

     perts thet leaf uncvfrseg lmtcmn, twm enjuger sfnsmr tmdftfkt pmsctcmn, [LE kmnnfktcmns end rfsfrvfd spekf

    imr fgfktrckeg omerds. Thcs lmdugf hes spekf wmra

     oftwffn + ;2 dfj tm -;2 dfj cn fekh rfvmgutcmn pgen.

    Dmuogf kmupgf mi Hedc–s lmdugf wes usfd cn thcs ocpfdes hcp m̀cnts. Fekh `mcnt hes ? DMIs end 9 [LEs.

    ?.5.Thf Omdy Dfscjn

    Et icrst e lfkhencsl mi gmkmlmtcmn wcth `ust imur

    DMIs wes prmpmsfd, out ct wes imund thet e lfkhencsl

    wcth gfss then icvf DMIs cs nmt epprmprcetf tm gmkmletfthf systfl . Eddcnj e sgcdcnj pert mn tmp mi thf 4DMIs

    rmomt, thf drewoekas mi thf lmtcmn wes smgvfd. Thf

    rmomt kmnscsts mi scx perts, twm lmdugfs, twm gfjskmnnfktfd tm thf lmdugfs, e sgcdfr end ifw [LEs. Thf

    sgcdfr wfcjht cs usfd tm trensifr thf kfntfr mi thf jrevcty

    mi thf ocpfd. E rcjcd ogmka sgcdcnj mn e oer cs usfd imr

    thcs kesf, hmwfvfr, cn prektckf ct ken of rfpgekfd wcthkelfre, oettfry peka, end mthfr dfvckfs. Icj. ; shmws

    thf ocpfd cnkgudcnj thf ektuetmr lmdugfs end thf sgcdcnj

    wfcjht KMJ kmlpfnsetmr.

    Icj. ;0 _momt dfscjn

    ?.; Thf Fgfktrckeg DfscjnThf ogmka dcejrel mi thf lmdugf–s fgfktrckeg herdwerf

    cs shmwn cn Icj. 4. Ct cnkgudfs e lckrmkmntrmggfr

    (ETLFJE;?), [LE drcvfrs (Dergcnjtmn trenscstmrs,

    TCR5??), pmsctcmn sfnsmrs, end kmlluncketcmn drcvfs.

    Thf lckrmkmntrmggfr cs usfd tm lenejf thf drcvcnj mi

    thf [LEs, tm hendgf thf kmlluncketcmn rfqucrflfnts,

    end tm prmvcdf E/D kmnvfrscmn.

    [LE [prcnj

    Fgfktrmnck

    Omerd

    Enjuger

    [fnsmr  

    Fgfktrmnck

    Omerd

  • 8/17/2019 On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

    3/6

    Cntfrnetcmneg @murneg mi _momtcks, Ymg.?, Nm.5, (?255)/E. Tmhcdc, L. L.Lmjheddel, E. Hedc 

    54

    Icj. 40 Fgfktrckeg omerd mvfrvcfw

    ;. Lmdfgcnj

    Tm lmdfg rmomt lmtcmn, wf shmugd dfvfgmp acnfletck

    lmdfg mi rmomt omdy end lmdfg mi [LEs ektuetmr

     ofhevcmr.

    Icj. 60 _momt gcnas end `mcnt dfifnctcmn

    ;.5. Acnfletck Lmdfg

    Ekkmrdcnj tm Icj. 6, rmomt cs dcvcdfd cntm 4 gcnas end 6

     `mcnts. _fifr tm gmw rfektcmn mi [LEs ektuetmrs end

    PLR krctfrce, ekkfgfretcmn tfrls cs cjnmrfd, sm PLR

    krctfrce rfdukfd tm fq.5, dfskrcof acnfletck lmdfg mi

    rmomt end cts steocgcty rfjcmn.

    4

    5

    4

    5

    2

    2

    c c

    c KJcc

    KJ

    l

     _l _   (5)

    Zhfrf,2 _KJ  cs pmsctcmn letrcx, cn oesf kmmrdcnetf

    systfl.

    ;.?. [LEs Ofhevcmr Lmdfg

    Ekkmrdcnj tm Q55\0Dfigfktcmn mi shepf lflmry eggmys es iunktcmn mi imrkf

    end thf lertfnsctf irektcmn ken of fxprfssfd es0

    sJd 

     D N I 

    Jd 

     N  D y    

     

    ;

    ?

    4

    ;8  

    (?)

    Zhckh y cs dfigfktcmn, I cs imrkf, J cs thf fgestck shfer

    lmdugus, thf phesf trensimrletcmn tfnsmr (whckh ken

     of kegkugetfd irml G

     F   whfrf F cs thf fgestck

    lmdugus end G  thf lexclul rfkmvfreogf strecn),

    s   

    cs thf strfss cndukfd lertfnsctf, D cs mutfr dcelftfr mishepf lflmry eggmys sprcnj kmcg, d cs wcrf dcelftfr end

     N cs nulofr mi wcndcnj.Cn eddctcmn tm thf [LE sprcnj lmdfg, thf hfet trensifrlmdfg mi thf [LE cs dficnfd es0

    )(?

    T T k

     Ek

    h _ C 

    dt 

    dT 

     plk   (;)

     Ek

  • 8/17/2019 On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

    4/6

    Cntfrnetcmneg @murneg mi _momtcks, Ymg.?, Nm.5, (?255)/E. Tmhcdc, L. L.Lmjheddel, E. Hedc 

    56

    5

    Imrkf

    T

    dT/dt

    fq

    dfq

    /dt

    s

    Rhesf Trensimrletcmn

    Y

    T

    T

    dT/dt

    Hfet Trensifr 

    du/dt

    Dfrcvetcvf

    S

     s

    I

    Kmnstctutcvf Lmdfg

    -A-

    Kmnstent

    ?

    Dfigfktcmn

    5

    Ymgtejf

     Icj. 90 [LE lmdfgcnj cn LETGEO smitwerf

    4. [clugetcmn

    LETGEO end Ycsueg Nestren smitwerf erf usfd tm

    sclugetf thf gmkmlmtcmn mi thf rmomt. Ektuetmrs wes erf

    lmdfgfd cn LETGEO fnvcrmnlfnt end thfcr ektcmns

    erf trensimrlfd tm thf Ycsueg Nestren smitwerf tmjfnfretf thf ocpfd omdy lmtcmn.

    Omth smitwerf erf gcnafd tmjfthfr cn e renjf mi 2.25s

     pfrcmd. Cn dmcnj sm, cnputs end mutputs erf dficnfd cnfekh smitwerf ekkmrdcnjgy end thf dete cn trensifrrfd

    thrmujh thfsf imr thf kmlluncketcmn purpmsfs Thf

    cnput tm thf Letgeo cs thf [LE–s pmsctcmns erf cnput

    end thf rfsugtcnj imrkfs mi thf [LE–s oesfd mn thfcr

    lmdfgs erf mutputs tm thf Y.N. smitwerf. [clugetcmns

    erf pfrimrlfd imr e typckeg ocpfd lmdfg end thf rfsugts

    erf shmwn cn icj .:.

    Icj. :0 Gmkmlmtcmn stfps

    Es ct shmws, thf gmkmlmtcmn kmnscsts mi tfnth perts0

    icrst, lmvf thf sgcdfr tm gfit, sfkmnd, teaf mii thf rcjht

    gfj mi thf jrmund, thcrd, swcnj imrwerd thf suspfndfd

    gfj, imurth, put thf rcjht gfj tm thf jrmund, icith, lmvf

    thf sgcdfr tm thf rcjht, scxth, teaf imrwerd rmomt wcth jft

     oeka rcjht gft tm icrst pmsctcmn end rmomt rfpfets eomvf

    stfps out suppmrt mn rcjht gfj, thus kmntcnufs tre`fktmry

    leafs wegacnj imrwerd.

    6. Tre`fktmry Jfnfretcmn

    Thrmujh sclugetcmn, wegacnj tre`fktmrcfs erf jfnfretfd.

    Thfn, thrmujh acnfletck lmdfgcnj mi thf ocpfd, dfscrfd

    lmtcmns mi thf rmomt–s gfjs erf kegkugetfd. Ct rfqucrfs

    thf lmtcmn mi thf lmdugfs thet cs ektuetfd thrmujh

    [LE–s. Thf [LE–s erf ektcvetfd thrmujh twm

    cndcvcdueg drcvfrs. Icj .8 shmws thf sclugetcmn rfsugt.

    Icj.80 [clugetcmn rfsugts

    Thcs kurvfd shmws pmsctcmn mi fekh `mcnt es iunktcmn mi

    tclf, kgfergy thf peth mi `mcnt 5 cn lmdugf 5 cs sclcger tm

     `mcnt 5 lmdugf ?, ùst `mcnt 5 cn lmdugf ? hes tclf shcit.

    Mthfr twm `mcnts erf self es thmsf mnfs. Oy uscnj thcs

    rfsugt, thf prmtmtypf mi rmomt ken lmvf. _momt

    lckrmkmntrmggfr shmugd imggmw thf kurvfs end affp

     `mcnts cn kmrrfkt pmsctcmn cn tclf.

  • 8/17/2019 On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

    5/6

    Cntfrnetcmneg @murneg mi _momtcks, Ymg.?, Nm.5, (?255)/E. Tmhcdc, L. L.Lmjheddel, E. Hedc 

    59

    9. Fxpfrclfnts

    E skegfd vfrscmn mi thf ocpfd cs dfscjnfd end

    lenuiekturfd tm vfrciy thf sclugetcmn rfsugts cn

     prektckf. Icj.3 shmws thf fxpfrclfnteg sftup.[pfkcicketcmn perelftfr mi essflogy rmomt cs kmggfktfd

    tm Teogf ?.

    Icj. 30 Fxpfrclfnteg sftup

     Teogf ?0 _momt spfkcicketcmn

    quentcty perelftfr

    548; jrless

    ;2 klTmteg Hfcjht

    ?? klGfj Gfnjth

    52 klZcdth

    [LEEktuetmr

    54 Nulofr Mi Ektuetmrs

    6DMI

    :2*82 kl?

    Immt Dclfnscmn9 Elp- DK[uppgy

    EgulcnulLetfrceg

    ETLFJE;?Lckrmkmntrmggfr

    ;; ll pfr lcn.Gmkmlmtcmn [pffd

    Icj.52 shmws [LEs sprcnj errenjflfnt cn lmdugf

    end rmomt. Tm teaf mii rmomt wfcjht, shmugd usf dmuogf

    [LEs sprcnj cn kmrnfr mi fekh lmdugf. 

    Icj. 520 [LE sprcnjs errenjflfnt 

    Icj. 550 Fxpfrclfnteg rfsugts

    E sclpgf out kmlpgftf wegacnj pettfrn cs dfscjnfd end

    cs ifd tm thf systfl thrmujh e kmlputfr prmjrel. Ct cs

    shmwn thet thf fxpfrclfnteg rfsugts erf kgmsf tm thf

    sclugetcmn rfsugts. Tfn stfps mi lmtcmn pettfrn wfrf

  • 8/17/2019 On the Design and Test of a Prototype of Biped Actuated by Shape Memory Alloys

    6/6

    Cntfrnetcmneg @murneg mi _momtcks, Ymg.?, Nm.5, (?255)/E. Tmhcdc, L. L.Lmjheddel, E. Hedc 

    5:

    jfnfretfd eutmletckeggy, end erf rfpfetfd imr e nulofr

    mi wegacnj stfps. Icj. 55 shmws gmkmlmtcmn stfps. Ct

    wes imund thet thf rmomt ofhevfs steogy, out duf tm thf

    sgmw rfektcmns mi thf [LE–s thf mvfregg spffd mi thf

    rmomt wes vfry sgmw. Hmwfvfr, thf [LE–s wfrf shmwn

    tm of prmpfrgy strmnj tm push thf ocpfd imrwerd. Fvfn

    thmujh, thf wegacnj pettfrn wes nmt vfry slmmth cn

     prektckf, out ct prmvfd thet thf lmtcmn ken of jfnfretfd

    thrmujh mngy 6 DMIs lfkhencsls.

    :. Dcskusscmns

    Thcs pepfr prfsfnts thf dfscjn mi e ocpfd rmomt ektuetfdwcth [hepf Lflmry Eggmy ([LE) sprcnjs wcth

    lcnclul dfjrffs mi irffdml. Lmdfgcnj mi [LEs end

    lmdfgcnj mi rmomt wes shmwn, end thf kurvfd rfsugt

    usfd imr fxpfrclfnteg lmtcmn. [m tm sclpgciy ocpfd,fxtre DMI wes dfgftfd, thfrfimrf thf ocpfd lmvfd wcth

     `ust 6 DMIs end ektuetfd oy [LEs. Icneggy e prmtmtypf

    mi ocpfd lenuiekturfd end gmkmletf gcaf sclugetcmnrfsugt. Fxpfrclfnteg shmws thet [LE ektuetmrs cn ocpfd

    rmomt cs usfiug, out eppgy thcs rmomt cn kmrrmscmn

    surrmund, whfrf mthfr ektuetmr wcgg kmrrmdfd, cssujjfstfd. Mthfr edventejf mi thcs rmomt ektuetfd oy[LEs cs lecntfnenkf irff. Thcs ektuetmrs wmra undfr

    wetfr end cn hcjh duty kmndctcmns wfgg.

    _fifrfnkfs

    Q5\ 

    L. Yuamoretmvck end D. @urckck, ‗Kmntrcoutcmn tm thf

    [ynthfscs mi Ocpfd Ject“, CFFF Trens. mn Ocm-Lfdckeg

     Fnjcnffrcnj, 59, nm.5,5393,5-9.

    Q?\ 

    A. Hcrec, ‗Kurrfnt end Iuturf Rfrspfkcvf mi Hmnde

    Hulenmcd _momt“,  CFFF/_[@ Cntfrnetcmneg Kmnifrfnkf

    mn Cntfggcjfnt _momts end [ystfls, ?, 533:, 622-628.

    Q;\ 

    S. Aurmac, ‗E slegg ocpfd fntfrtecnlfnt rmomt“,

     Cntfrnetcmneg [ylpmscul mn Lckrmlfkhetrmncks end

     Hulen [kcfnkf, ?225, ;-4.

    Q4\ 

    Hyunj-Lcn [mn, @un-Oul Jug, [f-Hmmn Rera, Sun-@unjGff, Tef-Hyun, ‗ Dfscjn mi nfw quedrupfd rmomt wcth

    [LE ektuetmrs imr dynelck wegacnj“,  [CKF-CKE[F

     Cntfrnetcmneg @mcnt Kmnifrfnkf, Ofxkm, Ousen,

    Amrfe,?229.Q6\

     

    K. S. Gcu, Z. H. Gcem,“ E [neaf _momt Vscnj [hepf

    Lflmry Eggmys“,  Cntfrnetcmneg Kmnifrfnkf mi CFFF mn

     _momtcks end Ocmlclftcks, [hfnyenj, Khcne, Eujust

    ?224, 925 ‛ 926.

    Q9\ Lelc Ncshcde, Aezum Teneae, Hue M. Zenj,“Dfvfgmplfnt end Kmntrmg mi e Lckrm Ocpfd Zegacnj

    _momt uscnj [hepf Lflmry Eggmys“,  CntfrnetcmnegKmnifrfnkf mi CFFF mn _momtcks end

     Eutmletcmn,Mrgendm, Igmrcde , Ley ?229, 5924 ‛ 5923.

    Q:\ 

    Fhsen Terafsh Fsiehenc, Lmhelled H. Fgehcnce,“ [teogf

    Zegacnj Rettfrn imr en [LE-Ektuetfd Ocpfd“

    , CFFF/E[LF Trensektcmn mn Lfkhetrmncks,5?(6),Mktmofr ?22:.

    Q8\ 

    @unckhc Vrete, Tmlmeac Smshcaec, Caum Lczuukhc end

    Leseyuac Cneoe,“ Dfscjn mi Hcjh D.M.I. Lmocgf Lckrm

    _momt Vscnj Fgfktrckeg _fscstenkf Kmntrmg mi [hepfLflmry Eggmy“, Cntfrnetcmneg Kmnifrfnkf mi CFFF/_[@

    mn Cntfggcjfnt _momts end [ystfls,[en Dcfjm, KE, V[E,

    Mkt ?3 - Nmv ?, ?22:, ;8?8 ‛ ;8;;.

    Q3\ 

    [hfnshun Scnj, Xcenshfn Ucn end Ucmnj Gcu,“ Dfscjnend _fsferkh mi _momt @mcnt Ektuetfd oy [LE Zcrf“,

    Rrmkffdcnjs mi thf CFFF Cntfrnetcmneg Kmnifrfnkf mn

     _momtcks end Ocmlclftcks  ,senye,khcne, Dfkflofr

    ?22:.Q52\

     

    E. Hedc, E. Smusfic-Amle, L. L. Lmjhedel,

    L.Fgehcnce ,E. Jhezevc, ‗Dfvfgmpcnj e Nmvfg [LE-

    Ektuetfd _momtck Lmdugf,“  [fnsmrs end Ektuetmrs E0

    Rhysckeg, 59?0:?-85, ?252.

    Q55\ 

    G. K. Orcnsmn, ‗Mnf-dclfnscmneg kmnstctutcvf ofhevcmrmi shepf lflmry eggmys0 Thfrlm-lfkhenckeg dfrcvetcmn

    wcth nmn-kmnstent letfrceg iunktcmns end rfdficnfd

    lertfnsctf cntfrneg verceogf,“  @murneg mi cntfggcjfnt

    letfrceg systfls end strukturfs, 4, Eprcg 533;, ??3‛?4?.

    Ocmjrephy mi Euthmrs

    Le`cd L. Lmjheddel  rfkfcvfd hcs

    O.[k. dfjrff cn Lfkhenckeg

    Fnjcnffrcnj cn 5388 irml [herciVncvfrscty mi Tfkhnmgmjy, Cren, end

    L. Fnj. dfjrff cn Lfkhenckeg

    Fnjcnffrcnj cn 533; irml LkJcggVncvfrscty, Kenede, end Rh.D. dfjrff

    cn Lfkhenckeg Fnjcnffrcnj cn 5339 irml Vncvfrscty mi

    Tmrmntm, Kenede. Hf cs e prmifssmr mi lfkhenckeg

    fnjcnffrcnj et Terocet Lmderfs Vncvfrscty, Tfhren,Cren. Hcs kurrfnt rfsferkh, whckh imkusfs mn eppgcfd

    rmomtcks end rmoust H∞ kmntrmg, cs kmnkfrnfd wcth heptck

    rmomtcks, rfheocgctetcmn rmomtcks, cnspfktcmn rmomtck send

    rmujh tfrrecn lmocgf rmomt dfscjn. Hf cs e lflofr mithf Edlcncstretcvf Kmllcttff mi Lfkhetrmncks [mkcfty

    mi Cren. Hf hes sfrvfd es km-khecr imr leny

    netcmneg/cntfrnetcmneg kmnifrfnkfs cn Cren.

    Egcrfze Hedc rfkfcvfd e O.[. dfjrff

    cn Lfkhenckeg Fnjcnffrcnj cn ?22?

    irml Csiehen Vncvfrscty miTfkhnmgmjy, Cren. Hf rfkfcvfd hcs

    L.[. dfjrff cn Lfkhenckeg

    Fnjcnffrcnj cn ?224 irml Terocet

    Lmderfs Vncvfrscty, Cren. Hf

    cskurrfntgy kmlpgftcnj hcs Rh.D.dfjrff cn Lfkhenckeg Fnjcnffrcnj cn Vncvfrscty mi

    Tfhren. Hf cs e rfkcpcfnt mi Ahwerczlc Smunj Ewerd

    ?224. Hcs rfsferkh cntfrfst cs cn thf erfe mi cnspfktcmnrmomtcks, lmduger rmomtck systfls end shepf lflmry

    eggmy oesfd rmomts end lfkhencsls.