This article presents an adaptive fuzzy finite-time control (AFFTC) method for nonstrict-feedback nonlinear systems (NFNSs) with unknown dynamics. With the aid of the backstepping technique, by establishing the smooth switch function (SSF), a novel C¹ AFFTC strategy is recursively constructed, which counteracts the effect of nonstrict-feedback structure and unknown dynamics. Different from the reporting finite-time control achievements, the singularity hindrance derived from the differentiating virtual control law is availably surmounted. Moreover, the developed AFFTC strategy can drive the tracking error to converge into a small neighborhood of the origin in a finite time. Simulation results are conducted to substantiate the efficacy of theoretical findings.

中文翻译：

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非严格反馈非线性系统的自适应模糊有限时间控制。

本文提出了一种用于动态未知的非严格反馈非线性系统（NFNS）的自适应模糊有限时间控制（AFFTC）方法。借助后推技术，通过建立平滑开关函数（SSF），递归构造了一种新颖的C¹AFFTC策略，该策略抵消了非严格反馈结构和未知动态的影响。与报告的有限时间控制成就不同，可以有效地克服源自微分虚拟控制律的奇异性障碍。而且，开发的AFFTC策略可以驱动跟踪误差在有限的时间内收敛到原点的一小部分。进行仿真结果以证实理论发现的有效性。