Robust stabilization of switched discrete-time systems with actuator saturation  

作　　者：Yongmei MA Guanghong YANG Wei GUAN 

机构地区：[1]College of Science, Yanshan University, Qinhuangdao Hebei 066004, China [2]College of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China [3]Key Laboratory of Integrated Automation of Process Industry, Northeastern University, Ministry of Education, Shenyang Liaoning, 110004

出　　处：《控制理论与应用（英文版）》2009年第4期454-458,共5页

基　　金：supported by Program for New Century Excellent Talents in University (NCET-04-0283);the Funds for Creative Research Groups of China (No.60521003);Program for Changjiang Scholars and Innovative Research Team in University (No.IRT0421);the State Key Program of National Natural Science of China (No.60534010);the Funds of National Science of China (No.60674021);the Funds of PhD program of MOE,China (No.20060145019);the 111 Project (B08015)

摘　　要：This paper studies the robust stabilization problem of switched discrete-time linear systems subject to actuator saturation. New switched saturation-dependent Lyapunov functions are exploited to design a robust stabilizing state feedback controller that maximizes an estimation of the domain of attraction. The design problem of controller （coefficient matrices） is then reduced to an optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to show the effectiveness of the proposed method.This paper studies the robust stabilization problem of switched discrete-time linear systems subject to actuator saturation. New switched saturation-dependent Lyapunov functions are exploited to design a robust stabilizing state feedback controller that maximizes an estimation of the domain of attraction. The design problem of controller （coefficient matrices） is then reduced to an optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to show the effectiveness of the proposed method.

关 键 词：Switched systems Robust stabilization LMI Actuator saturation 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置] O231[自动化与计算机技术—控制科学与工程]