Sliding mode control for linear uncertain switched systems

This paper considers the problem of sliding mode control (SMC) for a class of linear uncertain switched systems. In the controlled systems, it is not required that each subsystem model shares the same input channel, which is usually assumed in some existing works. By means of a transformation on input matrices, a single integral sliding surface is designed and the switching signals depending on the average dwell time are given. It is shown that the designed sliding mode controller can guarantee the reachability of the sliding surface. Moreover, the sliding motion on the specified integral sliding surface is exponentially stable under the designed switching signal. The efficiency of the proposed method is demonstrated by a simulation.