In this paper, we shall address the problem of guaranteeing transient performance in adaptive tracking control of uncertain strict-feedback nonlinear systems within the framework of event-triggered control. Note that most of the existing literature about event-triggered control focuses on solving exactly known systems or completely parametric systems, but still no result available in handling more general systems with unparameterizable uncertainties. The formidable issue is successfully resolved in this paper by using the fuzzy logic systems to approximate real-time value of the unknown functions, and the square of the norm of fuzzy weight vector is applied to the backstepping recursive design. Furthermore, by constructing a class of new Lyapunov candidates, the chattering phenomenon caused by sign function can be avoided, whereas the transient performance in terms of the tracking error can also be achieved to be an explicit function with the user-defined parameters. It is further proven that our proposed scheme ensures the global boundedness of all the closed-loop signals. Finally, the simulation results verify the effectiveness of the established theoretic.

中文翻译：

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具有保证瞬态性能的不确定严格反馈非线性系统的事件触发自适应模糊控制


在本文中，我们将解决在事件触发控制框架内不确定严格反馈非线性系统的自适应跟踪控制中保证瞬态性能的问题。请注意，大多数有关事件触发控制的现有文献都集中于解决精确已知的系统或完全参数化的系统，但在处理具有不可参数化不确定性的更一般的系统方面仍然没有可用的结果。本文利用模糊逻辑系统逼近未知函数的实时值，并将模糊权向量范数的平方应用于反推递归设计，成功地解决了这一难题。此外，通过构造一类新的李亚普诺夫候选，可以避免由符号函数引起的抖振现象，同时跟踪误差方面的瞬态性能也可以实现为具有用户定义参数的显式函数。进一步证明我们提出的方案确保了所有闭环信号的全局有界性。最后，仿真结果验证了所建立理论的有效性。