Adaptive robust output control of nonlinear delayed chaotic systems

This paper focuses on the problem of adaptive robust output tracking for delayed chaotic systems with sector nonlinearity in input function. Based on Lyapuvov-Krasovskii function, an adaptive robust controller is proposed. It is also shown that the proposed feedback controller can guarantee that the error between state x(t) and delay state x(t - τ) is uniformly ultimately bounded. Finally, a Chua's circuit is given to illustrate the validity of the proposed control scheme.