This paper addresses the problem of continuoustime dynamic sliding mode control for Takagi'Sugeno fuzzy nonlinear systems based on an event-triggered mechanism. First, a novel sliding mode dynamic system is established by introducing a corresponding sliding mode function and an efficient eventtriggered mechanism. Then, based on a new Lyapunov function and the reciprocally convex method, sufficient conditions are presented to guarantee that the constructed network sliding mode dynamics is asymptotically stable. It is shown that the trajectories of the sliding mode dynamic system can converge into a bounded domain of a sliding mode surface in finite time. Furthermore, the explicit expression of the desired sliding mode controller is given in the form of linear matrix inequalities. Finally, the applicability and effectiveness of the proposed design techniques are demonstrated by a numerical example.

中文翻译：

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通过滑模方法对非线性系统进行事件触发模糊控制


本文解决了基于事件触发机制的 Takagi'Sugeno 模糊非线性系统的连续动态滑模控制问题。首先，通过引入相应的滑模函数和高效的事件触发机制，建立了一种新颖的滑模动态系统。然后，基于新的Lyapunov函数和倒数凸方法，给出了保证所构建的网络滑模动力学渐近稳定的充分条件。结果表明，滑模动力系统的轨迹可以在有限时间内收敛到滑模面的有界域。此外，所需滑模控制器的显式表达式以线性矩阵不等式的形式给出。最后，通过数值例子证明了所提出的设计技术的适用性和有效性。