Adaptive fault-tolerant tracking control for a class of time-delayed chaotic systems with saturation input containing sector

This paper addresses a practical fault-tolerant tracking problem for a class of uncertain time-delayed chaotic systems with actuator saturation containing unknown sector nonlinearity. First, the new sector nonlinearity input model is proposed, and a proper function, which is used to simulate the saturating input function, is constructed. Then, based on the principle of sliding mode control (SMC), a novel design scheme of adaptive controller is proposed. The approach removes the assumptions that all sector nonlinearity model parameters should be known constants. By theoretical analysis, the effectiveness of the design scheme is proved. Finally, a well-known Duffing-Holmes chaotic system is used to demonstrate the feasibility of the proposed controller.