In this paper, we propose an adaptive discrete-time fuzzy sliding mode control for a class of chaotic systems. For this aim, a discrete sliding mode controller and a fuzzy system are combined to achieve an adequate control. The Laypunov stability theorem is used to testify the asymptotic stability of the whole system and the consequence parameters of the adaptive fuzzy system are tuned on-line by adaptive laws. The simulation example of the 3D Henon chaotic model is giving to confirm the effectiveness and the robustness of the proposed method.
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机译：在本文中，我们为一类混沌系统提出了一种自适应离散时间模糊滑模控制。为此，将离散滑模控制器和模糊系统结合起来以实现适当的控制。利用Laypunov稳定性定理证明整个系统的渐近稳定性，并通过自适应定律对自适应模糊系统的结果参数进行在线调整。 3D Henon混沌模型的仿真实例证明了该方法的有效性和鲁棒性。
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