Chaotic sliding mode controllers for uncertain time-delay chaotic systems with input nonlinearity

This paper presents a novel robust chaotic controller for stabilizing uncertain time-delay chaotic systems with input nonlinearity. Based on dynamic output sliding mode control (SMC), Lyapunov theory and linear matrix inequality (LMI) technique, the stability of overall uncertain time-delay chaotic system with input nonlinearity under the proposed control scheme is guaranteed without the state predictor. The selection of sliding surface and the design of control law are two important issues, which have been addressed. A priori knowledge of upper bounds of uncertainties is not required. Furthermore, the proposed scheme ensures robustness against input nonlinearity, time-delays, nonlinear real-valued functions, parameter uncertainties and disturbances simultaneously. Finally, simulation results demonstrate the validity of the proposed control methodology.