Adaptive sliding mode control of switched systems with different input matrix

This paper investigates the sliding mode control (SMC) problem for switched systems. The parameter uncertainties are norm-bounded, and the upper bound of the nonlinear term and the loss of effectiveness of actuator faults are unknown. A novel adaptive sliding mode controller is constructed such that the influences of actuator faults and unknown nonlinearity can be effectively attenuated and the state variables can reach the predefined common sliding surface. Based on average dwell time strategy, the exponential stability condition of the switched systems is obtained. Finally, simulation results are presented to show the effectiveness of the proposed techniques.