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1、7StimulationofChaosinElectricDriveSystemsInsteadofavoidingtheoccurrenceofchaosorstabilizingthechaoticphenomenoninelectricdrivesystems,itisbecomingattractivetostimulatetheoccurrenceofchaosandhencetopositivelyutilizechaos.Thestimulationofchaos,termedthechaoization,canbeclassifiedintotwoapproa
2、ches:control-orientedchaoizationanddesign-orientedchaoization.Thecontrol-orientedapproaches–whichofferthedefiniteadvantageofflexibility,butneedadditionalcontrol–usecontrolmeanstostimulatethesystemexhibitingchaoticbehavior.Ontheotherhand,thedesign-orientedapproaches–whichofferthedefiniteadvant
3、ageofsimplicity,butlackflexibility–designthesystemsothatitcaninherentlygeneratechaoticbehavior.Inthischapter,thecontrol-orientedanddesign-orientedchaoizationarebothdiscussed,hencestimulatingchaoticoperationinvariouselectricdrivesystems.7.1Control-OrientedChaoizationManycontrolapproachesthat
4、havebeenproposedtostimulatechaosinvariousnonlinearsystems.Forthestimulationofchaosinelectricdrivesystems,theavailableapproachesarequitelimited,andmostofthemarestillundertheoreticaldevelopment(Ge,Cheng,andChen,2004).Inthissection,severalviablecontrolapproachesthathavebeensuccessfullyimpleme
5、ntedinelectricdrivesystemsarediscussed,namelytime-delayfeedbackcontrol,proportionaltime-delaycontrol,andchaoticspeedreferencecontrol.7.1.1Time-DelayFeedbackControlofPMDCDriveSystemAsdiscussedinChapter3,aPMDCmotorcanbemodeledasasingle-input/single-output(SISO)lineartime-invariant(LTI)system
6、:dvBTþv¼ð7:1ÞdtJJChaosinElectricDriveSystems:Analysis,ControlandApplication,FirstEdition.K.T.ChauandZhengWang.©2011JohnWiley&Sons(Asia)PteLtd.Published2011byJohnWiley&Sons(Asia)PteLtd.ISBN:978-0-470-82633-1194ChaosinElectricDriveSystemswherevisthemotorspeed,Tisthemotortorque,Bistheviscousd
7、ampingcoefficient,andJistheloadinertia,whileTandvdenotetheinputandoutputofthesystem,respectively.Byemployingtheanticontrolofchaosincontinuous-timesystems(Wang,Chen,andYu,2000),thetime-delayfeedbackcontrolcanbedesignedas:vðttÞT¼mjBfð7:2Þjwheremisthetorquepara