Abstract
AbstractThe self‐adaptive terminal sliding mode synchronization of fractional‐order nonlinear chaotic systems is investigated under uncertainty and external disturbance. A novel non‐singular terminal sliding surface is proposed and proved to be stable. Based on Lyapunov stability theory, a sliding mode control law is proposed to ensure the occurrence of sliding‐mode motion. In addition, two methods of the controller and the self‐adaptive rules are used to establish the sliding mode function, and two sufficient conditions for achieving self‐adaptive terminal sliding‐mode synchronization of fractional‐order uncertain nonlinear systems are identified. The results show that designing appropriate control law and sliding‐mode surface can achieve self‐adaptive terminal sliding mode synchronization of the fractional high‐order systems with uncertainty. The effectiveness and applicability of the sliding mode control technique are validated through numerical simulation.
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