Guaranteed cost control for saturated uncertain linear systems  

作　　者：Sheng LIU Liming ZHOU 

机构地区：[1]College of Automation, Harbin Engineering University, Harbin Heilongjiang 150001, China

出　　处：《控制理论与应用（英文版）》2009年第4期400-404,共5页

基　　金：supported by the National Natural Science Foundation of China (No.60704004)

摘　　要：In this paper, we discuss the problem of guaranteed cost control for uncertain linear systems subject to actuator saturation. Based on the quadratic and non-quadratic Lyapunov functions, sufficient conditions for the robust stability and performance are derived. Moreover, all the conditions can be expressed as linear matrix inequalities （LMIs） or bilinear matrix inequalities （BMIs） in terms of the feedback gain. Thus, the static controller can be effectively synthesized via convex optimization. A numerical example illustrates the effectiveness of the method.In this paper, we discuss the problem of guaranteed cost control for uncertain linear systems subject to actuator saturation. Based on the quadratic and non-quadratic Lyapunov functions, sufficient conditions for the robust stability and performance are derived. Moreover, all the conditions can be expressed as linear matrix inequalities （LMIs） or bilinear matrix inequalities （BMIs） in terms of the feedback gain. Thus, the static controller can be effectively synthesized via convex optimization. A numerical example illustrates the effectiveness of the method.

关 键 词：Guaranteed cost control Uncertain linear systems Actuator saturation Quadratic Lyapunov function 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O175.13[自动化与计算机技术—控制科学与工程]