开关系统L/sub /增益分析与控制综合的LMI方法

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508) Pub Date : 2004-09-02 DOI:10.1109/CACSD.2004.1393901

D. Xie, Long Wang, G. Xie, Fei Hao

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引用次数: 3

摘要

本文采用线性矩阵不等式(LMI)方法，结合切换李雅普诺夫函数方法，研究了任意切换下离散时间切换系统的L/sub /增益分析和控制综合。首先，证明了切换Lyapunov函数的存在性等价于某些lmi的可行性。通过求解特征值问题(EVP)，可以计算出开关系统的L/sub /增益的上界。然后，我们分别设计了开关状态反馈控制器和开关输出反馈控制器，保证了相应的闭环系统渐近稳定，且L/sub 2/增益小于固定常数。给出了这两种情况的基于lmi的条件。最后，给出了两个例子来说明我们的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An LMI approach to L/sub 2/ gain analysis and control synthesis of switched systems

This paper investigates the L/sub 2/ gain analysis and control synthesis of discrete-time switched systems under arbitrary switching by linear matrix inequality (LMI) approach together with switched Lyapunov function method. First, the existence of a switched Lyapunov function is proven to be equivalent to the feasibility of some LMIs. An upper bound of the L/sub 2/ gain for switched systems can be computed by solving an eigenvalue problem (EVP). Then, we design a switched state feedback controller and a switched output feedback controller, respectively, guaranteeing that the corresponding closed-loop system is asymptotically stable with an L/sub 2/ gain smaller than a fixed constant. LMI-based conditions for both cases are presented. Finally, two examples are given to illustrate our results.

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来源期刊

2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508)

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