Stability analysis for continuous-time systems with actuator saturation  

作　　者：Ting SHI Hongye SU Jian CHU 

机构地区：[1]State Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control Zhejiang University Hangzhou Zhejiang 310027, China

出　　处：《控制理论与应用（英文版）》2009年第4期352-358,共7页

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 (863 Program) (No.2006AA04 Z182);National Natural Science Foundation of China (No.60736021)

摘　　要：The aim of this paper is to study the determination of the stability regions for continuous-time systems subject to actuator saturation. Using an affine saturation-dependent Lyapunov function, a new method is proposed to obtain the estimation of the domain of attraction of the closed-loop system. A family of linear matrix inequalities （LMIs） that provides sufficient conditions for the existence of this type of Lyapunov function are presented. The results obtained in this paper can reduce the conservativeness compared with the existing ones. Numerical examples are given to illustrate the effectiveness of the proposed results.The aim of this paper is to study the determination of the stability regions for continuous-time systems subject to actuator saturation. Using an affine saturation-dependent Lyapunov function, a new method is proposed to obtain the estimation of the domain of attraction of the closed-loop system. A family of linear matrix inequalities （LMIs） that provides sufficient conditions for the existence of this type of Lyapunov function are presented. The results obtained in this paper can reduce the conservativeness compared with the existing ones. Numerical examples are given to illustrate the effectiveness of the proposed results.

关 键 词：Actuator saturation Stability analysis Domain of attraction Invariant set Linear matrix inequality （LMI） 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]