This work investigates a finite-time adaptive fuzzy tracking control problem for a class of nonstrict feedback nonlinear systems from a new point of view. A new concept, named finite-time performance function (FTPF), is defined in this paper for the first time. Moreover, a finite-time adaptive state feedback fuzzy tracking controller is derived based on fuzzy approximation, backstepping technique and prescribed performance control (PPC), which guarantees that all the signals of the closed-loop system are bounded, the output tracking error converges to a prescribed arbitrarily small region within a finite-time interval, and maximum overshoot is not more than a predefined level. In addition, a controller design process is given which is less complex than the existing finite-time control design methods. Three simulation studies are provided to verify the feasibility and effectiveness of the theoretical finding in this study.

中文翻译：

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一种新的非严格反馈系统有限时间自适应模糊跟踪控制方案

这项工作从一个新的角度研究了一类非严格反馈非线性系统的有限时间自适应模糊跟踪控制问题。本文首次定义了一个新概念，即有限时间性能函数（FTPF）。此外，基于模糊逼近、反步技术和规定性能控制（PPC）推导了有限时间自适应状态反馈模糊跟踪控制器，保证闭环系统的所有信号有界，输出跟踪误差收敛于有限时间间隔内规定的任意小区域，最大超调量不超过预定水平。此外，还给出了一个控制器设计过程，它比现有的有限时间控制设计方法更简单。