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基于LMIs的一类不确定线性切换系统的鲁棒控制 被引量：1

LMIs Based Robust Control for a Class of Switched Linear Systems with Uncertainty
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摘要 基于LMIs处理方法,研究了一类不确定线性切换系统在任意切换下的鲁棒控制问题.利用矩阵Schur补引理构造线性矩阵不等式,得到该系统的鲁棒稳定性的充要条件,同时也给出了在状态反馈下的鲁棒稳定性充要条件和在输出反馈下的充分条件.最后用数值例子对所得结果加以验证,说明了文中结果的正确性. This paper studies the problem of robust control for a class of switched linear systems with uncertainty under arbitrary switching laws based on LMIs. First, by constructing Linear matrix inequalities with Schur complement formula, necessary and sufficient conditions for robust stability of switched linear systems under arbitrary switching laws are given. Next,A necessary and sufficient condition of robust stability is presented in terms of matrix inequality under state feedback. A sufficient condition for robust stability under output feedback is also presented. Finally, a numerical example illustrates the effectiveness of the method.
作者 孙文安 葛斌 赵军
机构地区 大连大学信息工程学院 东北大学信息科学与工程学院
出处 《数学的实践与认识》 CSCD 北大核心 2005年第7期184-190,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(60274009) 高等学校博士学科点专项科研基金(20020145007) 辽宁省自然科学基金(20032020)资助
关键词 线性切换系统 线性矩阵不等式(LMIs) 渐进稳定性 Sehur补公式 鲁棒控制 switched linear systems linear matrix inequality （LMIs） asymptotic stability schur complement formula state feedback output feedback
分类号 O231.2 [理学—运筹学与控制论]
  • 相关文献

参考文献14

  • 1Nie H. Zhao J. Hu Y. Robust H∞. state observer design for a class of nonlinear systems via switching[A],Proceedings of the 2003 IEEE International Symposium on Intelligent Control[C]. Houston, Texas, 2003. 782-787.
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二级参考文献20

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共引文献8

同被引文献4

  • 1LIBERSON,MORSE S A.Basic problems in stability and design of switched system[J].IEEE Control Systcms,1999,(19):59-70.
  • 2JAMAL Daafouz,PIERRE,CLAUDE Lung.Stabihty analysis and control synthesis for switched system:a switched Lyapunov function approach[J].IEEE Transaction on Automatic Control,2002,47(11):97-101.
  • 3JAMAL Daafouz,GILLES Millerioux,CLAUDE Iung.A poly-puadratic stability based approach for liner switchedsystems[J].InT.J Contral 2002,75(16 117):1 302-1 310.
  • 4DAAFOUZ J,BERNSSOU J.Parameter dependent Lyapllnov function for discrete time systems with time varyingparameteric uncertainties[J].Systems and Control Letters,2001,(43):355-359.

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数学的实践与认识
2005年 第7期

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