This article is concerned with the global fast finite-time adaptive stabilization for a class of high-order uncertain nonlinear systems in the presence of serious nonlinearities and constraint communications. By renovating the technique of continuous feedback domination to the construction of a serial of integral functions with nested sign functions, this article first proposes a new event-triggered strategy consisting of a sharp triggered rule and a time-varying threshold. The strategy guarantees the existence of the solutions of the closed-loop systems and the fast finite-time convergence of original system states while reaching a compromise between the magnitude of the control and the trigger interval. Quite different from traditional methods, a simple logic is presented to avoid searching all the possible lower bounds of trigger intervals. An example of the maglev system and a numerical example are provided to demonstrate the effectiveness and superiority of the proposed strategy.

中文翻译：

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高阶不确定非线性系统的自适应事件触发快速有限时间镇定及其在磁悬浮系统中的应用。

本文关注的是在存在严重非线性和约束通信的情况下，一类高阶不确定非线性系统的全局快速有限时间自适应镇定。通过将连续反馈控制技术改进为构造一系列具有嵌套符号函数的积分函数，本文首先提出了一种新的由尖锐触发规则和时变阈值组成的事件触发策略。该策略保证闭环系统解的存在性和原系统状态的快速有限时间收敛，同时在控制量级和触发间隔之间取得折衷。与传统方法完全不同，提出了一个简单的逻辑来避免搜索所有可能的触发间隔下限。