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离散时滞切换系统的无记忆状态反馈镇定 被引量：6

Memoryless State Feedback Stabilization for Discrete Switched Systems with Time Delay
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摘要 针对一类子系统为离散时滞系统的切换系统,研究了稳定性与无记忆状态反馈镇定问题.采用多李雅普诺夫函数法,首先以线性矩阵不等式形式给出了在任意切换信号作用下离散时滞切换系统渐进稳定的一个充分性条件;然后给出了系统无记忆状态反馈镇定的控制器设计方案,并将结果推广到不确定离散时滞切换系统;最后用仿真算例验证了所提出设计方案的可行性. Stability and memoryless state feedback stabilization for discrete switched systems with time delay subsystems are studied. Based on multiple Lyapunov functions theory, a sufficient condition in form of linear matrix inequalities is derived for the asymptotic stability under arbitrary switching laws. Then, a memoryless state feedback stabilization method is established, and the result is extended to uncertain discrete switched systems with time delay. A numerical example illustrates the feasibility of the designed controller.
作者 卢建宁 张彦虎 赵光宙
机构地区 浙江大学电气工程学院
出处 《控制与决策》 EI CSCD 北大核心 2006年第8期941-944,952,共5页 Control and Decision
关键词 切换系统 时滞 多李雅普诺夫函数 镇定 Switched systems Time delay Multiple Lyapunov functions Stabilization
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献11

  • 1Decarlo R A, Branicky M S, Pettersson S, et al.Perspectives and Results on the Stability and Stabilizability of Hybrid System [J]. Proc of the IEEE , 2000,88(7): 1069-1082.
  • 2Branicky M S. Multiple Lyapunov Functions and Other Analysis Tools for Switched and Hybrid Systems [J].IEEE Trans on Automatic Control, 1998, 43 (4) : 475-482.
  • 3Liberzon D, Morse A S. Basic Problems in Stability and Design of Switched Systems[J]. IEEE Control System Magazine, 1999,19 (5) : 59-70.
  • 4Daafouz J, Riedinger P, Iung C. Stability Analysis and Control Synthesis for Switched Systems: A Switched Lyapunov Function Approach [J]. IEEE Trans on Automatic Control, 2002,47(11) : 1883-1887.
  • 5Ji Z, Wang L, Xie G, et al. Linear Matrix Inequality Approach to Quadratic Stabilisation of Switched Systems[J]. IEE Proc on Control Theory and Applications, 2004,151 (3) : 289-294.
  • 6Song Y, Xiang Z, Chen Q, et al. Dynamic Output Feedback Control of Discrete Switched System with Time Delay [A]. Proce of 5th World Congress on Intelligent Control and Automation[C]. Hangzhou,2004:1088-1091.
  • 7Zhai G S, Sun Y, Chen X K, et al. Stability and L2 Gain Analysis for Switched Symmetric Systems with Time Delay[A]. Proc of the 2003 American Control Conf [C]. Denver: IEEE, 2003:2682-2687.
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二级参考文献11

  • 1Boyd S, El Ghaoui L, Feron E, et aL Linear Matrix Inequalities in System and Control Theory [M]. Philadelphia, Pennsylvania:SIAM, 1994.
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  • 7Liberzon D, Morse A S. Basic problems in stability and design of switched systems [J]. IEEE Control Systems Magazine, 1999,19(5) :59 -70.
  • 8Decarlo R A, Branicky M S, Pettersson S, et al. Perspectives and results on the stability and stabilizability of hybrid systems [J]. Proceedings of the IEEE, 2000, 88(7) :1069 -1082.
  • 9Branicky M S. Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J]. IEEE Transactions on Automatic Control, 1998,43 ( 4 ) :475-482.
  • 10Zhai G S, Sun Y, Chen X K, et al. Stability and L2 gain analysis for switched symmetric systems with time delay [ A ]. Proceedings of the 2003 American Control Conference [ C ]. Denvet, Colorado: IEEE, 2003. 2682-2687.

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控制与决策
2006年 第8期

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