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| Received:March 18, 2011Revised:September 10, 2011 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (Nos. 61174073, 90816028). |
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| Stability analysis and antiwindup design of uncertain discrete-time switched linear systems subject to actuator saturation |
| Xinquan ZHANG,Mingshun WANG,Jun ZHAO |
| (State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University) |
| Abstract: |
| 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. |
| Key words: Switched systems Saturating actuators Switched Lyapunov function Attraction domain LMI |
