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An Adaptive Fuzzy Sliding Mode Control Scheme For a Class of Uncertain Chaotic Systems with Unknown Time-delay

Wei Xiang, Xiejin Liu, Ning Li


This paper is concerned with the stabilization problem for a class of uncertain chaotic systems with unknown time-delay. A novel sliding surface is proposed for the chaotic system, and the stability of the closed-loop system is established by using Lyapunov-Krasovskii theory and fuzzy logic system. The designed controller can control the uncertain chaotic system to zero. The corresponding numerical simulations are demonstrated to verify the effectiveness of proposed method.


Chaotic system, Lyapunov-Krasovskii function, Adaptive fuzzy control, Sliding mode control.

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