In this article, a novel fuzzy adaptive finite‐time nonsmooth controller is developed to handle the finite‐time tracking problem for a class of uncertain nonlinear systems. Different from traditional fuzzy adaptive approximation methods, proposed method contains only one adaptive parameter, no matter how many states there are in the system. By constructing a new Lyapunov function with prescribed performance bound, the transient and steady performances of control system can be ensured. Further, based on a criterion of finite‐time semiglobal practical stability and backstepping technology, a novel fuzzy adaptive finite‐time nonsmooth control method is designed. It can be demonstrated that proposed control can effectively ensure tracking error tends to small neighborhood in a finite time. Finally, two examples have been simulated by the proposed control method, and it shows effective tracking performance.

中文翻译：

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不确定非线性系统的新型模糊自适应有限时间非光滑控制

在本文中，开发了一种新颖的模糊自适应有限时间非光滑控制器来处理一类不确定非线性系统的有限时间跟踪问题。与传统的模糊自适应逼近方法不同，无论系统中有多少个状态，该方法仅包含一个自适应参数。通过构造具有规定性能界限的新Lyapunov函数，可以确保控制系统的瞬态和稳定性能。此外，基于有限时间半全局实践稳定性和反推技术的准则，设计了一种新颖的模糊自适应有限时间非光滑控制方法。可以证明所提出的控制可以有效地保证跟踪误差在有限时间内趋向于较小的邻域。最后，