Sliding mode control for discrete time switched systems with uncertain parameters and time delay

In this paper, the problem of sliding mode control of a discrete-time switched system with uncertain parameters and time-varying delay is investigated. By using the average dwell time approach and the piecewise Lyapunov function technique, a sufficient condition is proposed to guarantee the exponential stability of the switched systems with uncertain parameters and time delays. The conservation of the obtained results is reduced by employing the delay partitioning method and the free-weighting matrix technique. A robust sliding mode controller has been designed to force the closed-loop system to be driven onto a prescribed sliding surface and maintained there for all subsequent time. Finally, a numerical example is given to illustrate the effectiveness of the proposed theory.