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

被引：17

作者：

Zhang, Xinquan ^{[1
]}

Wang, Mingshun ^{[1
]}

Zhao, Jun ^{[1
]}

机构：

[1] State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University

来源：

Journal of Control Theory and Applications | 2012年 / 10卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Antiwindup; Attraction domain; LMI; Saturating actuators; Switched Lyapunov function; Switched systems;

D O I：

10.1007/s11768-012-1053-3

中图分类号：

学科分类号：

摘要：

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. © 2012 South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

引用

页码：325 / 331

页数：6

共 23 条

[1]

Liberzon D., Morse A.S., Basic problems in stability and design of switched systems, IEEE Control Systems Magazine, 19, 5, pp. 59-70, (1999)

[2]

Lin H., Antsaklis P.J., Stability and stabilizability of switched linear systems: A survey of recent results, IEEE Transactions on Automatic Control, 54, 2, pp. 308-322, (2009)

[3]

Sun Z., Ge S.S., Analysis and synthesis of switched linear control systems, Automatica, 41, 2, pp. 181-195, (2005)

[4]

Zhai G., Hu B., Yasuda K., Et al., Disturbance attenuation properties of time-controlled switched systems, Journal of the Franklin Institute, 338, 7, pp. 765-779, (2001)

[5]

Sun X., Liu G., Rees D., Et al., Stability of systems with controller failure and time-varying delay, IEEE Transactions on Automatic Control, 53, 10, pp. 2391-2396, (2008)

[6]

Sun X., Liu G., Wang W., Et al., Stability analysis for networked control systems based on average dwell time method, International Journal of Robust and Nonlinear Control, 20, 15, pp. 1774-1784, (2010)

[7]

Cheng D., Stabilization of planar switched systems, System & Control Letters, 51, 2, pp. 79-88, (2004)

[8]

Branicky M.S., Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Transactions on Automatic Control, 43, 4, pp. 475-482, (1998)

[9]

Pettersson S., Synthesis of switched linear systems, Proceedings of IEEE Conference on Decision and Control, pp. 5283-5288, (2003)

[10]

Zhao J., Hill D.J., On stability, and L <sub>2</sub>-gain and H <sub>∞</sub> control for switched systems, Automatica, 44, 5, pp. 1220-1232, (2008)

← 1 2 3 →