IEEE Trans Cybern. 2022 Oct;52(10):10420-10429. doi: 10.1109/TCYB.2021.3063139. Epub 2022 Sep 19.
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 C 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.
本文提出了一种用于具有未知动态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。借助反推技术，通过建立平滑切换函数（SSF），递归地构造了一种新颖的 C AFFTC 策略，以抵消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果不同，所提出的方法有效地克服了由虚拟控制律微分引起的奇点障碍。此外，所提出的 AFFTC 策略可以使跟踪误差在有限时间内收敛到原点的小邻域内。仿真结果验证了理论研究结果的有效性。
