Sliding mode control of persistent dwell-time switched systems with random data dropouts.

• As the first attempt, we considered the state information required by the sliding mode controller will be randomly dropouts, which is reflected in the obtained equivalent sliding mode controller. • A novel method is utilized for the SMC problem of the PDT switched systems with data dropouts, and a novel SMC law is proposed. • For the PDT switched systems, some sufficient conditions to guarantee the mean-square exponential stability with data dropouts are derived for the PDT switched systems and the H ∞ performance of the system is analyzed through utilizing the linear matrix inequality technique. This paper concentrates on the sliding mode control problem for a set of discrete-time switched systems. As the first attempt, the persistent dwell-time switching rule is considered in the research of sliding mode control for switched systems. Furthermore, data dropouts are frequently encountered in the process of data transmission, and it should be considered in the process of designing the sliding mode control law so that the state trajectories are guaranteed to move in a region around the specified sliding surface. Based on the Lyapunov theory and the matrix convex optimization technique, the main concern of this paper is to construct a sliding mode controller to ensure that the closed-loop system is mean-square exponentially stable with a prescribed weighted H ∞ performance. Finally, the effectiveness and rationality of the obtained results are verified by a numerical example. [ABSTRACT FROM AUTHOR]