Design of sliding mode controller for Lorenz chaotic system with nonlinear input

In this paper, a sliding mode controller is presented to control Lorenz chaos subject to sector nonlinear input. The proposed control law is robust against both the uncertainty in system parameters and external disturbance. Simulation results show that the system state can be regulated to a specified point in the state space. It is also seen that the system still possesses the advantage of fast response and good transient performance even though the control input is nonlinear.