Stabilization of switched polytopic linear systems with average dwell-time subject to actuator saturation

In this paper, the problem of state-feedback controller design for a class of discrete-time switched linear systems with polytopic uncertainties subject to actuator saturations is investigated. The objection is to design a switched state-feedback controller guaranteeing the locally exponential stability of the resulting closed-loop systems under average dwell-time switching scheme and analyze the domain of attraction. Based on a parameter-dependent discontinuous switched Lyapunov function and some basic lemmas, some novel conditions for state-feedback controller design are developed. The results obtained are formulated in terms of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed approach.