基于LMI方法的离散分段线性系统静态输出反馈控制

丁大伟; 杨光红

doi:10.3724/SP.J.1004.2009.00337

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基于LMI方法的离散分段线性系统静态输出反馈控制

doi: 10.3724/SP.J.1004.2009.00337

1.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China
2.
College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China

详细信息

通讯作者:
丁大伟

计量
- 文章访问数: 2324
- HTML全文浏览量: 52
- PDF下载量: 2008
- 被引次数: 0
出版历程
- 收稿日期: 2008-01-07
- 修回日期: 2008-08-14
- 刊出日期: 2009-04-20

Static Output Feedback Control for Discrete-time Piecewise Linear Systems: an LMI Approach

1.
Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, P.R. China;
2.
College of Information Science and Engineering, Northeastern University, Shenyang 110004, P.R. China

More Information

Corresponding author: DING Da-Wei

摘要

摘要: 研究了离散分段线性系统静态输出反馈控制问题. 基于分段二次李亚普诺夫函数, 给出了静态输出反馈镇定控制器综合的新的充分的线性矩阵不等式条件. 同时, 通过使用Finsler引理, 引入一组具有特殊结构的松弛变量以减少设计保守性. 与以后方法相比, 所提出的方法具有好的性能, 并且在已有方法失效的情况下仍可用. 文中还将此方法推广到H无穷控制. 最后给出三个例子说明方法的有效性.
- Piecewise linear systems /
- piecewise quadratic Lyapunov function /
- Finsler's lemma /
- static output feedback (SOF) /
- linear matrix inequality (LMI)
Abstract: This paper investigates the problem of static output feedback (SOF) control for discrete-time piecewise linear systems. Based on piecewise quadratic Lyapunov functions, new sufficient LMI conditions for the synthesis of SOF stabilization controllers are presented. Meanwhile, by using Finsler's lemma, a set of slack variables with special structure are introduced to reduce design conservatism. Compared to the existing methods, the proposed method has a good performance and can work successfully in situations where the existing methods fail. An extension of this method is also given in order to incorporate H∞ performance. Three examples are given to illustrate the effectiveness of our method.
- Piecewise linear systems /
- piecewise quadratic Lyapunov function /
- Finsler's lemma /
- static output feedback (SOF) /
- linear matrix inequality (LMI)