Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation

• Published in: Journal of control theory and applications Vol. 10; no. 3; pp. 325 - 331
• Main Authors: Zhang, Xinquan, Wang, Mingshun, Zhao, Jun
• Format: Journal Article
• Language: English
• Published: Heidelberg South China University of Technology and Academy of Mathematics and Systems Science, CAS 01.08.2012
• Subjects: Actuators; Compensation; Complexity; Computational Intelligence; Control; Control and Systems Theory; Design engineering; Dynamical systems; Dynamics; Engineering; Linear systems; Lyapunov函数方法; Mechatronics; Optimization; Regular Papers; Robotics; Saturation; Stability analysis; Systems Theory; 离散时间; 稳定性; 线性切换系统; 线性矩阵不等式; 范数有界不确定性; 设计问题; 饱和执行器; Switched systems; LMI; Antiwindup; Saturating actuators; Attraction domain; Switched Lyapunov function
• ISSN: 1672-6340; 1993-0623
• DOI: 10.1007/s11768-012-1053-3

This paper investigates the stability analysis and antiwindup design problem for a class of discrete-time switched linear systems with time-varying norm-bounded uncertainties and saturating actuators by using the switched Lyapunov function approach. Supposing that a set of linear dynamic output controllers have been designed to stabilize the switched system without considering its input saturation, we design antiwindup compensation gains in order to enlarge the domain of attraction of the closed-loop system in the presence of saturation. Then, in terms of a sector condition, the antiwindup compensation gains which aim to maximize the estimation of domain of attraction of the closed-loop system are presented by solving a convex optimization problem with linear matrix inequality （LMI） constraints. A numerical example is given to demonstrate the effectiveness of the proposed design method.