Robust H-infinity control for uncertain discrete-time Markovian jump systems with actuator saturation

作     者：Ting SHI Hongye SU Jian CHU 

作者机构：Institute of Automation Hangzhou Dianzi University Hangzhou Zhejiang 310018 China State Key Laboratory of Industrial Control Technology Institute of Cyber-Systems and Control Zhejiang University Hangzhou Zhejiang 310027 China 

出 版 物：《控制理论与应用（英文版）》 (Journal of Control Theory and Applications)

年 卷 期：2011年第9卷第4期

页      面：465-471页

核心收录：

学科分类：0711[理学-系统科学] 0808[工学-电气工程] 07[理学] 08[工学] 081104[工学-模式识别与智能系统] 0835[工学-软件工程] 0802[工学-机械工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 071102[理学-系统分析与集成] 081103[工学-系统工程] 

基　　金：supported by the National Creative Research Groups Science Foundation of China (No. 60721062) the National High Technology Research and Development Program of China (863Program) (No. 2006AA04 Z182) the National Natural Science Foundation of China (No.60736021) 

主　　题：Markovian jump systems H-infinity control Actuator saturation LMIs 

摘      要：The design of robust H-infinity controller for uncertain discrete-time Markovianjump systems with actuator saturation is addressed in this paper. The parameter uncertainties are assumed to be norm-bounded. Linear matrix inequality （LMI） conditions are proposed to design a set of controllers in order to satisfy the closed-loop local stability and closed-loop H-infinity performance. Using an LMI approach, a set of state feedback gains is constructed such that the set of admissible initial conditions is enlarged and formulated through solving an optimization problem. A numerical example is given to illustrate the effectiveness of the proposed methods.