Xin-Quan Zhang, Xiao-Yin Li and Jun Zhao. Stability Analysis and Anti-windup Design of Switched Systems with Actuator Saturation. International Journal of Automation and Computing, vol. 14, no. 5, pp. 615-625, 2017. DOI: 10.1007/s11633-015-0920-z
Citation: Xin-Quan Zhang, Xiao-Yin Li and Jun Zhao. Stability Analysis and Anti-windup Design of Switched Systems with Actuator Saturation. International Journal of Automation and Computing, vol. 14, no. 5, pp. 615-625, 2017. DOI: 10.1007/s11633-015-0920-z

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

  • 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.
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