Parametric Controller Design of Hopf Bifurcation System

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文件名称：Parametric Controller Design of Hopf Bifurcation System
文件大小：3.36MB
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更新时间：2020-07-17 14:35:39
Parametric Contr AgeneralparametriccontrollerdesignmethodisproposedforHopfbifurcationofnonlineardynamicsystem.Thismethoddoes notincreasethedimensionofthesystem.Comparedwiththeexistingmethods,thecontrollerdesignedbythismethodhasalower controllerorderandasimplerstructure,anditdoesnotcontainequilibriumpoints.Themethodkeepsequilibriumoftheorigin systemunchanged.Symboliccomputationisusedtodeducetheconstraintsofcontroller,andcylindricalalgebraicdecomposition isusedtofindthestabilityparameterregionsinparameterspaceofcontroller.ThemethodisthenemployedforHopfbifurcation control.TakingLorenzsystemasanexample,thecontrollerdesignstepsofthemethodandnumericalsimulationsarediscussed. Computersimulationresultsarepresentedtoconfirmtheanalyticalpredictions. notincreasethedimensionofthesystem.Comparedwiththeexistingmethods,thecontrollerdesignedbythismethodhasalower controllerorderandasimplerstructure,anditdoesnotcontainequilibriumpoints.Themethodkeepsequilibriumoftheorigin systemunchanged.Symboliccomputationisusedtodeducetheconstraintsofcontroller,andcylindricalalgebraicdecomposition isusedtofindthestabilityparameterregionsinparameterspaceofcontroller.ThemethodisthenemployedforHopfbifurcation control.TakingLorenzsystemasanexample,thecontrollerdesignstepsofthemethodandnumericalsimulationsarediscussed. Computersimulationresultsarepresentedtoconfirmtheanalyticalpredictions.