Sliding mode control for uncertain switched systems subject to state and input delays

This paper considers sliding mode control for a class of uncertain switched systems with state and input delays. In the control systems, each subsystem is not required to share the same input channel, which is usually assumed in previous works. By employing a weighted sum of the input matrices, a common sliding surface is designed. The sliding surface includes a predictor to compensate for the input delay of the control systems. To guarantee the asymptotic stability of the sliding motion, a switching signal based on the min-projection strategy is proposed. Moreover, it is shown that the state trajectories can be driven onto the specified sliding surface despite the presence of state and input delays and external disturbances. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.