chap06 Stabilization of Chaos in Electric Drive Systems

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1、PartThreeControlofChaosinElectricDriveSystemsChaosinElectricDriveSystems:Analysis,ControlandApplication,FirstEdition.K.T.ChauandZhengWang.©2011JohnWiley&Sons(Asia)PteLtd.Published2011byJohnWiley&Sons(Asia)PteLtd.ISBN:978-0-470-82633-16StabilizationofChaosinElectricDriveSystemsChaosisobserv

2、edasanunpredictablephenomenonduetoitssensitivitytoinitialstates.Itisakindofsteady-statebutlocallyunstablebehavior,andexhibitsirregularproperties.Suchrandom-likephenomenonisnormallyregardedasunstableoperationwhichresultsinadditionalloss,andthereforeisaharmfulbehavior.Variouscontrolmethodsha

3、vebeenproposedtostabilizethechaoticbehavior,suchastheOttGrebogiYorke(OGY)method(Ott,Grebogi,andYorke,1990;Hunt,1991),thetime-delayfeedbackmethod(Pyragas,1992),thenon-feedbackmethod(Rajasekar,Murali,andLakshmanan,1997;RameshandNarayanan,1999),theproportionalfeedbackmethod(JacksonandGrosu,19

4、95;CasasandGrebogi,1997),thenonlinearcontrolmethod(Khovanovetal.,2000;Tian,1999),theadaptivecontrolmethod(Boccaletti,Farini,andArecchi,1997;LiaoandLin,1999),theneutralnetworksmethod(Hirasawaetal.,2000;Poznyak,Yu,andSanchez,1999),andthefuzzycontrolmethod(Tanaka,Ikeda,andWang,1998).Someofthe

5、mhavealsobeenproposedtostabilizethechaoticbehaviorinelectricdrivesystems.Inthischapter,variouscontrolapproaches,includingthetime-delayfeedbackcontrol,thenonlinearfeedbackcontrol,thebacksteppingcontrol,thedynamicsurfacecontrolandtheslidingmodecontrol,areintroducedtostabilizethechaosthatoccu

6、rsinbothDCandACdrivesystems.6.1StabilizationofChaosinDCDriveSystem6.1.1ModelingAsshowninFigure6.1,thetime-delayfeedbackcontrolmethodisusedtostabilizechaosinavoltage-controlledDCdrivesystem.Time-delayfeedbackcontrolhassomedefiniteadvantages:itdoesnotdesireapriorianalyticalknowledgeofthesyste

7、mdynamics;itdoesnotrequireareferencesignalcorrespondingtothedesiredunstableperiodicorbit(UPO);anditdoesnotneedfastsamplingoracomputeranalysisofthestateofthesystem.Also,thecorrespondingperturbationissmallwhenthedelayedtimeisclosetotheperiodofthedesiredUPO(Kitte