Sliding mode control to chaotic system based on saturated nonlinear function

Aiming at a class of chaotic system with unknown parameters, a Sliding Mode Control (SMC) method was presented based on saturated nonlinear function. A saturated nonlinear function was used inside the boundary layer instead of the sign function, which makes the control effect become "continuous" sliding mode control with nonlinear actions. Chattering on sliding mode (SM) manifold is eliminated using the method. The system still remains strong robustness with the nonlinear feedback. Simulation results demonstrate the efficiency of the method.