Sliding mode control: a new contribution using an integral action in the boundary layer

In this paper, the nonlinear sliding mode control (SMC) combined with non linear Integral corrector is proposed. Initially, NSMC is applied only when the states of the system are far away from the setpoint; if the state system is close to the reference an integral component was added. The stability and the robustness of the closed-loop system are proven analytically using the Lyapunov synthesis approach. The proposed method attenuates the effect of both uncertainties and external disturbances, moreover eliminates the chattering phenomenon introduced by classical sliding-mode control. The simulation of this method to Induction motor gives encouraging results which are presented and commented in this paper.