Reliable stabilization for a class of uncertain switched systems: A sliding mode control design

This paper considers the problem of reliable control for a class of uncertain switched system via sliding mode control technique. By means of a matrix transformation, a common sliding surface is designed. Moreover, the asymptotical stability of the sliding mode dynamics is analyzed by adopting the multiple Lyapunov functions method based on the min-projection strategy. Besides, the state trajectories can be driven onto the proposed sliding surface despite the presence of the parameter uncertainties and the actuator faults. The efficiency of the controller design is demonstrated by a numerical example.