Stability Analysis and Anti-windup Design of Switched Systems with Actuator Saturation

• Published in: International journal of automation and computing Vol. 14; no. 5; pp. 615 - 625
• Main Authors: Zhang, Xin-Quan, Li, Xiao-Yin, Zhao, Jun
• Format: Journal Article
• Language: English
• Published: Beijing Institute of Automation, Chinese Academy of Sciences 01.10.2017; Springer Nature B.V
• Subjects: Actuators; Automation; CAE) and Design; Closed loop systems; Closed loops; Compensation; Computer Applications; Computer-Aided Engineering (CAD; Control; Controllers; Convex analysis; Convexity; Design analysis; Engineering; Feedback control; Inequality; Liapunov functions; Linear matrix inequalities; Lyapunov函数方法; Mechatronics; Research Article; Robotics; Stability analysis; 切换系统; 单Lyapunov函数; 执行器饱和; 抗饱和; 稳定性分析; 设计问题; 饱和补偿; linear matrix inequality (LMI); saturating actuators; switched systems; domain of attraction; single Lyapunov function; Anti-windup
• ISSN: 1476-8186; 2153-182X; 1751-8520; 2153-1838
• DOI: 10.1007/s11633-015-0920-z

The stability analysis and anti-windup design problem is investigated for two linear switched systems with saturating actuators by using the single Lyapunov function approach. Our purpose is to design a switching law and the anti-windup compensation gains such that the maximizing estimation of the domain of attraction is obtained for the closed-loop system in the presence of saturation. Firstly, some sufficient conditions of asymptotic stability are obtained under given anti-windup compensation gains based on the single Lyapunov function method. Then, the anti-windup compensation gains as design variables are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. Two numerical examples are given to show the effectiveness of the proposed method.