文件名称：Parametric Controller Design of Hopf Bifurcation System
文件大小：3.36MB
文件格式：PDF
更新时间：2023-08-07 08:22:19
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.