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3 个结果
  • 简介:Somenewcriteriaforthechaoticlagsynchronizationareproposed.Atfirst,lagsynchronizationschemeforidenticalmaster-slaveLur'esystemsbyreplacingvariablescontrolandtherelevanterrorsystemaregiven,andtherelationsbetweenabsolutestabilityoftheerrorsystemandthechaoticlagsynchronizationaredescribed.Then,basedonaquadraticLyapunovfunction,twonewLur'ecriteriafortheabovechaoticlagsynchronizationareproved.FourcorrespondingfrequencydomaincriteriaarefurtherderivedbymeansofMeyer-Kalman-YacuboviaLemma.Thesefrequencydomaincriteriaareappliedtoanalyzethelagsynchronizationofgeneralmaster-slaveChua'scircuitssothatsomerangesoftheparametersinwhichthemaster-slaveChua'scircuitsachievechaoticlagsynchronizationbyreplacingsingle-variablecontrolareattained.Finally,someexamplesaregiventoverifythetheoreticalresults.

  • 标签: 混沌同步 变换控制 Lur'e系统 延迟同步
  • 简介:NecessaryandsuffcientconditionsfortheexistenceofaLyapunovfunctionintheLur'eformtoguaranteetheabsolutestabilityofLur'econtrolsystemswithmultiplenon-linearitiesarediscussedinthispaper.Itsimplifiestheexistenceproblemtooneofsolvingasetoflinearmatrixinequalities(LMIs).IfthoseLMIsarefeasible,freeparametersintheLyapunovfunction,suchasthepositivedefinitematrixandthecoefficientsoftheintegralterms,aregivenbythesolutionoftheLMIs.Otherwise,thisLyapunovfunctiondoesnotexist.Somesufficientconditionsarealsoobtainedfortherobustabsolutestabilityofuncertainsystems.Anumericalexampleisprovidedtodemonstratetheeffectivenessoftheproposedmethod.

  • 标签: 线性矩阵 控制系统 绝对稳定性 稳健性 李雅普诺夫函数
  • 简介:研究采用串PID控制的奇异摄动磁悬浮系统参数稳定范围.首先给出磁悬浮系统的串PID控制算法与模型,讨论了系统稳定应该遵循的两个条件:一个是慢变子系统PID控制的渐近稳定条件,另一个是快变子系统电流环稳定条件,从而推导出基于串PID控制的磁悬浮系统所应遵循的参数稳定范围和摄动参数稳定上界.结论说明由于电流环稳定条件与PID稳定条件存在较强耦合,对系统固有参数要求较为严格,导致实际系统调试难度较大。

  • 标签: 磁悬浮 串级PID 渐近稳定 电流环 奇异摄动