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dc.contributor.authorErol, H. Ersin
dc.contributor.authorİftar, Altuğ
dc.date.accessioned2019-10-21T20:41:21Z
dc.date.available2019-10-21T20:41:21Z
dc.date.issued2015
dc.identifier.issn2405-8963
dc.identifier.urihttps://dx.doi.org/10.1016/j.ifacol.2015.09.387
dc.identifier.urihttps://hdl.handle.net/11421/20760
dc.descriptionInternational Federation of Automatic Control (IFAC) - Technical Committee on Linear Control Systems;Technical Committee on Control Design;Technical Committee on Networked Systems;Technical Committee on Non-Linear Control Systems;Technical Committee on Robust Controlen_US
dc.description12th IFAC Workshop on Time Delay Systems, TDS 2015 -- 28 June 2015 through 30 June 2015 -- -- 117504en_US
dc.description.abstractDecentralized controller design problem for linear time-invariant retarded incom-mensurate-time-delay systems is considered. A design approach based on the decentralized, pole assignment, algorithm, and the continuous pole placement, algorithm, is proposed. An example is also presented to demonstrate the proposed design approachen_US
dc.description.sponsorshipAbstract: Decentralize^ controller ^esign problem ffior linear time-invariant retar^e^ incom-mebnsstfrfraactte:-tDimeec-e^netlraa?lizs?e^stecmonstrisolcleorns^i^eseirgen^?pAro^belesmignffioarpplirnoeaacrhtbimasee-^inovnartiahnetdreecteanrt^rae^lizeindcpoomle-mensffrate-time-^ela? s?stems is consi^ere^? A ^esign approach base^ on the decentralized pole asesnigsnffmraetnet-taimlgeo-r^itehlam? as?ns^tetmhes cisonctoinnsfiio^feirsep^o?lAe p^laesciegmneanptparlogaocrhithbmaseis^pornopthoesed^e?cAenntreaxliazmedplpeolies assignment algorithm an^ the continfiofis pole placement algorithm is propose^? An example is aalsssoigpnrmeseennttea^lgotorit^hemmoanns^trtahte ctohnetpinrfoiopfoissep^ol^eespilganceampepnrtoaaclhgo? rithm is propose^? An example is also presente^ to ^emonstrate the propose^ ^esign approach? © 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved. Keywords: Decentralize^ control; time-^ela? s?stems; incommensffrate time-^ela?s; Kteaybwiloizradtsi:onD;epceonletrpallaizcee^mceonnt?trol; time-^ela? s?stems; incommensffrate time-^ela?s; stabilization; pole placement? 1? ???RODUC??O? position to obtain local mo^els? ?nstea^, we mo^iffi? the 1? ???RODUC??O? ponstitiniofnfoftfsopobletapilnacleomcaelntmaolg^oerlsit?h?mnsstoeat^h,atwbeotmhot^hieffi?fixthe^e ?t?tiissiimpmprractactiicalcal,,iiffiffinnototiimpmpossiossibblle,e,ttooccoonnttrrololmmaann??llararge-ge- cmooonn^ttiiennsffffaoonffsff^s ppthooleleebplaplloacckemeimngeennztteaarlglogsoocrithmriatnhmbessootathtkheaantt bbcaoorthteh othethffi?eAfixefifxfitee^^r ?tscaliseimps?stractemsicalffirom, iffi naotceinmptralossiize^ble,lotcato cionont(rSo^^liljmakan(1?9lar91ge-))? staaoting^iensgathenh^e tphroeobleblelomckffiofiionrmgmzaell?rl?osinncaSenecbtioeiotnak2e,nwceaprerereosfefi?nAtfofitffrefrrmo^esan^theblockingzeroscanbetakencareoffi?Affiter ?hereffiore, ^ecentralize^ control is necessar?^^ ffior sffch s?s-stating the problem ffiormall? in Section 2, we present offr ?htems?ereffiForffe,rthe^ercmorentre,almize^an?colarntge-rolscalisneecessars?stems?ffimorasff?icnhvos?lvs-e ccoornnestteiinnnfftffoooffsfffsfrppoolelveeplapralallccee^mmeceeennntttaarlglaglooizrithmreit^hmcoininntrSeSoelccletiotrionn^e33s??igWWneeathetlhgeonn- tttimeiems?mmees--?^^eFFeffllffaarr??ttsshheeiinrrnmmorttheohreee,iir,rmmssttaaaanntte??essll,,aarriinpfftsngge-ep-fsscalftcsa,,leeaann^ss??^sst//tooeemsrrmoosffftpfftsfmmtpaaf??ftsiinn??vv??oollhhvviisees pirtehsmenitnoSfefrctoiovner4a?llA^neecxeanmtrpalliezeis^prceosnetnrtoel^lerin^Seescigtinona5lgtoo-fffifiaactimcte-ssh^heoolwwa?ssstthhinee tiimmphepiroorrstttaanantcceees,ooffiifnfi p^^feefcctsee,nnttarrnaal^lii/zze^oe^r occfooftnnpttrrffooltlsll?eerr?^^hee-is-ililtfhfsmtrainteStehcetiporno4p?oAsen^eaxpapmropalechis? Fprinesaelln?t,es^omineSceocnticolnff^5intog sign ffior time-^ela? s?stems? ?n ffiact, a nffmber offi works rlelfmfsatrrkatseatrheegpivreonpoisne^Seacptpiornoa6c?h? Finall?, some conclff^ing hiagvne fafiolrretai^m?eb-^eeelna?^esv?osttee^mtso? t?hnisffiascfftb,jeactn(ffem?gb?,erseoeffiBwaokrffkles ?hroffghofftthepaper,C, R, an^ N ^enote the sets offi,remarksare giveninSection6? have alrea^? been ^evote^ to this sffbject (e?g?, see Bakffle h2a0v0e8a)lraena^^r?ebffieereennc^eesvtohteer^eitno)t?h?nispsfafrbtjieccfftla(re,?gr?e,cseenetlB?,aEkfrfolel ?hroffghofft the paper, C, R, an^ N ^enote the sets offi, (2008')an^reffierencestherein)??nparticfflar,recentl?,Erol respectivel?, complex nffmbers, real nffmbers, an^ non-(a2n0^0?8''ff)itaarn(^2r0e1ffi4e)repnrcoepsotshee^reain^)e?c?enntpraarltizicef^flacor,nrtercoellnetrl?^,eEsirgonl respectivel?, complex nffmbers, real nffmbers, an^ non-ap^pr?offiatachr (2ffio0r14li)nperaorptoisme^e-ain^veacreianntrtal(iLz?e^?)cornettraorl^leer^^teismigen-offiofefigssa??tiFoFveorrin??teg??ersRR?,,FoCCr-µs :=:?=C{{,ssRe??(s)CC^een_US
dc.description.sponsorshipnoRe(Rtee(sss))the<<re??a}}l panaanr^^t a^pproela?as?chstems,ffior linewhairchtimise-biase^nvariaonntt(hLe??d)ecreentatrr^ealiz^edtimpoele- Cooffiffi+ss:??=FFo{osrr ???C??| RRRe,,(sCC)µµ? ?en_US
dc.description.sponsorshipthRRe(e ei(mss))agi<<nar???}}ffaannnit^? ^aselsaignm? s?entstems,algorwhithmich ioffis bDase^avisononanth^eChdecanengtra(l1990)ized ?po?nle Cµµ := {s ? C | Re(s)µ? ?}? i ^enotes the imaginar? ffnit? aseslaig?nms?esntetmaslg,owrihthicmh iosffi bDaasve^isoonnatnh^e Cdehcaenngtra(l1i9ze9d0)?po?lne C+ := {s ? C |kRe(s) ?k×?}l? i ^enotes the imaginar? ffnit? asthissignmalgoentrithmalgor, wihthmich offiwasDaovrigisoninall?an^proChpoanseg^(ffio1990)r finite? ?n-FCoµµr:k?=??{?s?N,CF|kRanen(s^)F?k×?}l?respis^peectncotitveesl?th^eeninmottaegitnhaer?sppfacesfnciets? athssisiganlmgoernitthamlg,owrihthicmh owffiasDaovriigsoinnalal?n^prCophoasneg^ (ff1io9r90fi)n?it?en-For k? ? ? N, Fkk an^ Fkk××ll respectivel? ^enote the spaces this algorithm, which was originall? propose^ ffior finite-Fofofi rk-k^?i?m?enNs,ioFnal avne^ctFors anr^espke×cti?v-e^li?m^enensiootneatlhme astpraicceess thimiseanlsgioonriatlhms?,stwehmics,hawcaesntorraigliiznea^ll?copnrtoroplolesre^isffio^resfiignnitee^-witkh-^elimenemesintons alin vFec,torwhserane^Fk×is ?R-^iormenCsi?onI alanmat^ r0icesoffik-^imensionalvectorsan^k×?-^imensionalmatrices ^imensional s?stems, a centralize^ controller is ^esigne^ wffiitkh-^eilmemenesnitosnailnvFec,towrshearne^Fk ×is ?R-^iomrenCs?ioInkalamn^atr0ikc×esl ffioirmeeancshioncaolntsr?oslteamgesn, tasceeqnffternatlizaell^??c?onnttrhoelleorrigsin^aelsiaglngeo^-rewistpheceltievmel?en^etsnointeFth, ewhk×erke-^imF isensRionaorl Ci^e? nItkit?ana^n^0tkh×el ffior each control agent seqffentiall?? ?n the original algo-rweistphecetlievmele?n^tsenionteFt,hewkh×erke-^FimiesnsRionoarl Ci^?enItit?ana^n^0the rfioitrhmeacohffi cDoanvtirsoolnaagnen^tCsheqafnfegn(t1ia9l9l?0?),?na tKhaelmoraing’isna^leacolgmo--kre×sp?e-^ctiimenvel?si^eonnoaltezerthoematk×rkices?-^imWenshenionathlei^e^inmentit?siaonn^stharee rithm offi Davison an^ Chang (1990), a Kalman’s ^ecom-kre×sp?e-c^tiimveeln?si^oennaoltzeetrhoemka×trkic-e^si?mWenhseionntahlei^^einmteitn?siaonn^s tahre piothsimtioonffi iDs afvfsies^ontoano^btCahinanlgoc(a1l99m0o)^, ealsKffiaolrmeaanc’hs ^coecnotrmo-l kappa× ?-^reinment, wsieonffsealIzeran^o mat0 tor^eices?noteWrehsenpetcthieve^l?imenthesii^onenstarit?e position is ffse^ to obtain local mo^els ffior each control kap×pa?-r^einmt,ewnseioffnsealIzaenro^ m0 taotr^iceenso?tWe rhesepnetchtieve^li?mtehnesiio^nenstaitr?e pgoesnittioinn iosr^ffesre^tot^oeosibgtnaian clonctarlomlleor^ffeiolrs ifftio?rMeaoctihvactoen^trbo?l anappa^ trehentzer, woematffse Irices?an^ 0Fotor a^ematnoterirex sorpevctecivtorel??the, ?i^Tenantit^? agent in or^er 'to ^esign a controller ffior it? Motivate^ b? aanp^patrheentz,ewroe mffsaetIricaens^? 0Fotro a^emnoatterirxesoprevcetcivtoelr??th,e?i^enatint^? this, Erol an^ ?ffi'tar (2014) also ffse^ a ^ecomposition, b? an?^** trehespzerectoivmatel? r^eices?noteFother a mattransrixpoorsevaen^ctorthe?,c?omTpleanx-^ this, Erol an^ ?ffitar (2014) also ffse^ a ^ecomposition, b? a?n^ trhesepzeecrtoivmela?tr^iceenso?tFeotrhae mtraatnrsixp osrevaenct^orth?e ,c?ompalenx^-ffhsiisn,gEtroolreasnff^lts?ffiotaffirL(e2e0e1t4)ala?ls(1o9f8fs2e)^, tao^oebctoaminplooscitailonm,ob^?-?con*jffregatspeecttrivanel?spos^eenooffite?the? Ftraornsap(ovseectoan^r) ffiffncthetiocomnplex(·x-), ffsing to resfflts offi Lee' et al? (1982), to obtain local mo^-?conjfrfgesaptecttrivaenls?po^seenootffie?th?eFtorranasp(ovseectaonr)^ fftiffhnectcioomn pxl(e·x)-, els? ?hen, Erol an^ ?ffitar (2014) exten^e^ the continfiofis conjffgate transpose offi ?? For a (vector) ffiffnction x(·), elpos?le?hplaence,mEentrolalang^or?ffifeflssi?n?ghtoenr,eEsfrflotlsaonffi^Le?'''ithmtar(o2014)ffiMichexietlsene^et^al?th(2e0c0o2n)titonfiofithesfefitaert(a2l?01(149)8e2x)t,etno^eo^bttahineclocnatlinmfioof^is- xco(n·)jf^fgeantoetetsrathnesp^oesreivaotffiiv?e ?offiFxo(r·)a? F(ivneacltlo?,r)?·ffi?ff,n^cteito(n·),xa(n·)^, eplosl?e?phlaecne,mEernotl aalng^or?iftfithamr (o2ffi0M14i)cheixetlsene^te^al?th(e20c0o2n)titnofiothfies x'(·) ^enotes the ^erivative offi x(·)? Finall?, ?·?, ^et(·), an^ p^?naole plmaicceomfftpfftent alffiegore^ithmbackocffioMntircohlleielsr ^eest aigl?n,(2a0n^02)atoppliethe^ rx'a(n·)k^(·e)nroetsepsetchteiv^eel?riv^aetnivoeteoftfihxe(·)2?-nFoinrmal,l?t,h?e·?^,e^teertm(·)in, aannt^, p^o?lneapmlaicceomffetnptfftalfgfieoer^itbhamckocffioMntircohlileelrs ^eetsaigl?n,(2a0n0^2)atpopltihe^e rank(·) respectivel? ^enote the 2-norm, the ^eterminant, ^?naittomthiceloofftpfftcalmoffie^e^elsbaffiorckecaocnhtrcoollentror ^lesagigennt,seqan^ffeanpplietiall?^? aann^kt(h·)e rreasnpkecotffii(v·e)l?an^^ebn^otiaegt(h· ·e·2)-^neonromt,esthaebl^oectker^miaignoanatl, it?tnoamthieclofcftaplffmtoffi^eee^lsbfafiocrkecaocnhtrcoolnletro^leasgiegnt,saenq^ffeanptpiallile?^? an^therankoffi(·)an^b^iag(···)^enotesablock^iagonal i?thetorethsffltselocaloffiLmoee^eeltsal?ffior(19e8a2ch),choonwterovlera,gaerentvseqali^ffeonnl?tialffilo?r? mna^trtihxewraitnhk(o·ff·i (··) oann^thbe^imaga(in· ·^· )ia^geonnoatle?s a block ^iagonal ithteortehsfeflltoscoaffliLmeoe^eetlsalf?fio(r19e8a2ch),choonwterovlera,gaernetvsaelqi^ffeonntli?alfflio?r? matrixwith(···)onthemain^iagonal? ?he resfflts offi Lee et al? (1982), however, are vali^ onl? ffior are known ffior incommensffrate-time-^ela? s?stems? ?here-2? PROBLEM S?A?EME?? ffioarffiorrereeekk,,nnththoowweennrerefffiorfssioffltsffrltiinnsccommenoooffiffimEroEmroellnaassffn^nff^rraa?ffi?''ttfee-tfitt-aratriimme-^((2014)2e-0^1eel4l)aa??ararss?ee?sstvvtaaeems?llmii^^s?ono??hnllh??eerffifrfioroee-r- 2?2? PPRROOBLEBLEMM SS??AA??EEMMEE???? ccommenfffiofioorreme,,mtthehneessffrrefferrssaatfffltstflee-tt-stiioomme-^fffifieEEro-^roeelllaaaa??nn^^ss????''ssffttffiitteems?aarmrs((?22014)014) araree vvaallii^^ ononll?? ffiffioror Consi^er a ^ecentralize^ L?? retar^e^ time-^ela? s?stem, commen?n the presffsreatnte-twiome-^rk, welea?extes?stn^ems?the approach offi Erol an^ ?onwsiit^her?aco^netcreonltraagleiznet^s,L^?es?crreibtaer^^ae^s time-^ela? s?stem, ?n the present work, we exten^ the approach offi Erol an^ ?, with ? control agents, ^escribe^ as ?'n the present work, we exten^ the approach offi Erol an^ ( ) ?ffi'tar (2014) so that it can be ffse^ ffior incommensffrate-??,with? cont??(?rolagents,^escribe^??)as ?ffitar (2014) so that it can be ffse^ ffior incommensffrate-? ? time-^ela? s?stems? For this, we ^o not ffse an? ^ecom- x'(t)=?? Aix(t-hi)+?? ??,i??(t-hi) t?ime-^ela? s?stems? For this, we ^o not ffse an? ^ecom-x' (t) = i=0 Aix(t - hi) + ?=1 ??,i??(t - hi) ? This work is supported in part by the Scientific and Techni-x'(t)=i=0 Aix(t-hi)+?=1??,i??(t-hi) 112E153andinpartbytheScientific¨Re'searchProjectsCommissioncalResearchCouncilofTurkey(TU¨BI'TAK)undergrantnumber ???i=?0 ?=1 c1a1l2ER1e5s3eaarnchdiCnopuanrctiblyofthTeuSrckieeynt(ifTicURBeIsTeAarKch)PurnodjeerctgsrCanotmnmuimssbioenr y?(t)=?? ??,ix(t-hi)? j=1?...?? 112Eof Anadolu153 andUinnivpartersitbyyunderthe ScgrieannttifincuRmesearber 1204F0ch Proj71.ects Commission y (t) = ? x(t - h )? j = 1?...?? of 2AEn1a5d3oalundUinnivpearrstitbyyutnhdeerScgireannttifincuRmebseearr1c2h0P4Fro0j7e1c.ts Commission y??(t) = ii=0=0 ??,?,iix(t - hii)? j = 1?. ..? ? of Anadolu University under grant number 1204F071. i=0 ofAnadoluUniversityundergrantnumber1204F071. i=0en_US
dc.language.isoengen_US
dc.relation.isversionof10.1016/j.ifacol.2015.09.387en_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDecentralized Controlen_US
dc.subjectIncommensurate Time-Delaysen_US
dc.subjectPole Placementen_US
dc.subjectStabilizationen_US
dc.subjectTime-Delay Systemsen_US
dc.titleDecentralized controller design by continuous pole placement for incommensurate-time-delay systemsen_US
dc.typeconferenceObjecten_US
dc.relation.journalIFAC-PapersOnLineen_US
dc.contributor.departmentAnadolu Üniversitesi, Mühendislik Fakültesi, Elektrik ve Elektronik Mühendisliği Bölümüen_US
dc.identifier.volume28en_US
dc.identifier.issue12en_US
dc.identifier.startpage257en_US
dc.identifier.endpage262en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US]
dc.contributor.institutionauthorİftar, Altuğ


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