Robust stabilization of switched discrete-time Systems with actuator saturation

This paper studies the robust stabilization problem of switched discrete-time linear systems subject to actuator saturation. New switched saturation-dependent Lyapunov functions are exploited to design a robust stabilizing state feedback controller that maximizes an estimation of the domain of attraction. The design problem of controller (coefficient matrices) is then reduced to an optimization problem with linear matrix inequality (LMI) constraints. A numerical example is given to show the effectiveness of the proposed method. © South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer Berlin Heidelberg 2009.