自动化学报2009，Vol.35Issue(4)：337-344,8.DOI:10.3724/SP.J.1004.2009.00337
基于LMI方法的离散分段线性系统静态输出反馈控制
Static Output Feedback Control for Discrete-time Piecewise Linear Systems: an LMI Approach
摘要
Abstract
This paper investigates the problem of static output feedback (SOF) control for discrete-time piecewise linear systems. Based on piecewisc 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.关键词
Piecewise linear systems/piecewise quadratic Lyapunov function/Finsler's lemma/static output feedback (SOF)/linear matrix inequality (LMI)Key words
Piecewise linear systems/piecewise quadratic Lyapunov function/Finsler's lemma/static output feedback (SOF)/linear matrix inequality (LMI)分类
信息技术与安全科学引用本文复制引用
丁大伟,杨光红..基于LMI方法的离散分段线性系统静态输出反馈控制[J].自动化学报,2009,35(4):337-344,8.基金项目
Supported by the State Key Program of National Natural Science of China (60534010), National Basic Research Program of China (973 Program) (2009CB320604), National Natural Science Founda- tion of China (60674021), the Funds for Creative Research Groups of China (60521003),the 111 Project (B08015),and the Funds of Ph.D.Program of Ministry of Eduction,China (20060145019) （60534010）
