Adaptive sliding mode control for variable structure systems with constraint control input

In this paper, the problems in sliding mode control systems with constraint control input are described, and then we utilize selecting a switching surface with an integrator to solve this problem and to derive a bound for the existence of sliding motion. Additionally, we propose an adaptive sliding mode controller in order to reduce settling time and also maintain the sliding motion in a larger bound. Finally, an illustrative example is given to demonstrate the effect of proposed controller.