This article investigates the fast finite‐time adaptive tracking control via event‐triggered mechanism for a class of high‐order uncertain nonlinear systems. An adaptive tracking controller is constructed for the first time by utilizing a new fast finite‐time performance function and a serial of transformations equipped with a barrier function and event‐triggering rules, which guarantees that the tracking error is restricted in a time‐varying prescribed region and converges to an arbitrarily small constant in a faster speed compared with some traditional finite‐time control strategies. A remarkable feature of this article is to avoid Zeno phenomenon without taking a derivative with respect to the absolute value of the event‐triggered error which may not be differentiable at some discrete points. Finally, a simulation example is provided to verify the feasibility and effectiveness of theoretical results.

中文翻译：

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不确定非线性系统的快速有限时间自适应事件触发跟踪

本文研究了基于事件触发机制的一类高阶不确定非线性系统的快速有限时间自适应跟踪控制。通过利用新的快速有限时性能函数和一系列具有屏障函数和事件触发规则的变换，首次构造了自适应跟踪控制器，从而确保跟踪误差被限制在时变规定中与某些传统的有限时间控制策略相比，该区域以更快的速度收敛到任意小的常数。本文的一个显着特点是避免了芝诺现象，而不必对事件触发的误差的绝对值求导数，在某些离散点上可能无法区分该绝对值。最后，