This article considers the problem of fixed-time prescribed event-triggered adaptive asymptotic tracking control for nonlinear pure-feedback systems with uncertain disturbances. The fuzzy-logic system (FLS) is introduced to deal with the unknown nonlinear functions in the system. By constructing a new type of Lyapunov function, the restrictive requirement that the upper bounds of the partial derivative of the unknown system functions need to be known is relaxed during the controller design process. At the same time, by developing a novel fixed-time performance function (FPF), the fixed-time prescribed performance (FPP) can be achieved, that is, the tracking error can converge to the neighborhood of the origin in a fixed time and finally converges to zero asymptotically. In addition, the event-triggered strategy is developed to reduce the waste of communication resources. The proposed control law can ensure that all the signals of the system are bounded. Meanwhile, the Zeno behavior can be effectively avoided. Finally, an example is provided to prove the effectiveness of the proposed scheme.

中文翻译：

---

具有规定性能的非线性纯反馈系统的事件触发自适应模糊渐近跟踪控制

本文考虑了具有不确定扰动的非线性纯反馈系统的固定时间规定的事件触发自适应渐近跟踪控制问题。引入模糊逻辑系统（FLS）来处理系统中的未知非线性函数。通过构造一种新型的李亚普诺夫函数，放宽了控制器设计过程中需要知道未知系统函数的偏导数上界的限制性要求。同时，通过开发一种新颖的固定时间性能函数（FPF），可以实现固定时间规定性能（FPP），即跟踪误差可以在固定时间内收敛到原点的邻域，最终渐近收敛于零。此外，事件触发策略是为了减少通信资源的浪费而开发的。所提出的控制律可以确保系统的所有信号都是有界的。同时，可以有效避免芝诺行为。最后给出了一个例子来证明所提方案的有效性。