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一类不确定离散时滞切换系统H_∞的二次稳定性 被引量：6

H_∞Quadratic Stability for a Class of Discrete-time Uncertain Time-delay Switched Systems
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摘要 本文基于LMI和H_∞控制理论,研究了一类不确定离散时滞切换系统在任意切换下的H_∞二次稳定性问题。利用矩阵Schur补引理构造线性矩阵不等式,通过求解一个特定的线性矩阵不等式,得到该系统在H_∞意义下的二次稳定的充分条件。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。 Basing on LMI, this paper addresses the H∞quadratic stability problem for discretetime state delay switched systems under arbitrary switching laws. Firstly, by constructing a linear matrix inequality using Schur complement formula, a sufficient condition for the H∞ quadratic stability is presented to solve certain linear matrix inequality. Finally, a numerical example illustrates the effectiveness of the method.
作者 孙文安 赵植武 董世山 张强
机构地区 大连大学信息工程学院 大连大学辽宁省智能信息处理重点实验室
出处 《工程数学学报》 CSCD 北大核心 2007年第5期825-833,共9页 Chinese Journal of Engineering Mathematics
基金 国家自然科学基金(60403001) 辽宁省科学技术基金(20052146) 辽宁省教育厅高等学校科学技术研究项目(20060071) 大连大学辽宁省智能信息处理重点实验室开放课题基金(2006-3).
关键词 时滞 离散切换系统 H∞性能 线性矩阵不等式(LMI) 二次稳定性 Schur补引理 time-delay discrete-time switched systems H∞ performance linear matrix inequality （LMI） quadratic stability Schur complement lemma
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]
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参考文献16

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二级参考文献23

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共引文献25

同被引文献55

  • 1张红涛,刘新芝.关于一类脉冲切换系统的鲁棒H_∞控制[J].控制理论与应用,2004,21(2):261-266. 被引量：23
  • 2孙文安,赵军.基于LMIs的不确定线性切换系统H_∞鲁棒控制[J].控制与决策,2005,20(6):650-655. 被引量：21
  • 3宋政一,赵军.不确定时滞线性离散切换系统的鲁棒H_∞控制[J].自动化学报,2006,32(5):760-766. 被引量：12
  • 4Decarlo R, Branicky M S, Lennartson B. Perspective and results on the stability and stabilizability of hybrid systems [J]. Proc of IEEE, 2000, 88 (7): 1069-1082.
  • 5Branicky M S. Multiple Lyapunov Functions and Other Analysis Tool for Switched and Hybrid Systems [J]. IEEE Trans on Automatic Control, 1998, 43 ( 4 ): 475-482.
  • 6Liberzon D. Switching in Systems and Control [M]. Boston: Birkhauser, 2003.
  • 7Sun Z D, Ge S S. Switched Linear Systems Control and Design [M]. New York: Springer-verlag, 2004.
  • 8Zhao J, Spong M W. Hybrid Control for Global Stabilization of the cart-pendulum System[J]. Automatica, 2001,37( 12 ): 1941-1951.
  • 9Zhao J, Dimirovski G M. Quadratic Stability of a class of Switched Nonlinear Systems [J]. IEEE Trans on Automatic Control, 2004, 49 (4): 574-578.
  • 10Xie L. Out put feedback H∞ control of systems with parameter uncertainty[J]. In J Control, 1996, 63 ( 4 ): 741-750.

引证文献6

二级引证文献17

工程数学学报
2007年 第5期

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