\(L_2\) -Gain Analysis and Design of Uncertain Switched Saturated Systems

Journal of control, automation and electrical systems

article

Sun, Haijun¹  Zhang, Xinquan¹ 

[1] School of Information and Control Engineering, Liaoning Shihua University;National Experimental Teaching Demonstration Center of Petrochemical Process Control, Liaoning Shihua University

关键词: \(L_2\) -Gain;    Anti-windup;    Switched systems;    Actuator saturation;    Multiple Lyapunov function;    Tolerable disturbances;   

DOI  :  10.1007/s40313-018-0392-9

学科分类：自动化工程

来源: Springer

【 摘 要 】

This paper studies the problem on $$L_2$$ L 2 -gain analysis and anti-windup design of uncertain discrete-time switched saturated systems by the multiple Lyapunov functions approach. Firstly, we obtain a sufficient condition of tolerable disturbances, under which the state trajectory starting from the origin will remain inside a bounded set. Then, the upper bound of the restricted $$L_2$$ L 2 -gain is obtained. Furthermore, the anti-windup compensators and the switched rule, aiming to determine the maximum disturbance tolerance capability and the minimum upper bound of the restricted $$L_2$$ L 2 -gain, are presented by solving a constraints optimization problem. Finally, we give a numerical example to show the effectiveness of the proposed method.

【 授权许可】

CC BY