This article reports our study on the issue of finite-time adaptive fuzzy tracking control for a class of uncertain nonlinear systems with the prescribed performance. A novel finite-time prescribed performance control approach, in which fuzzy systems are employed to approximate completely unknown nonlinear functions, is proposed by incorporating the technique of prescribed performance control with the method of command filtered design. Based on the finite-time stability theory, all the signals of the closed-loop system can be bounded and the output tracking error can converge to a prescribed small region within a finite-time by the proposed scheme; meanwhile, the problem of complexity explosion can be avoided. The effectiveness of the presented method is verified by two examples.

中文翻译：

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具有指定性能的不确定非线性系统的基于命令滤波器的有限时间自适应模糊控制


本文报道了我们对一类具有规定性能的不确定非线性系统的有限时间自适应模糊跟踪控制问题的研究。将规定性能控制技术与指令滤波设计方法相结合，提出了一种新颖的有限时间规定性能控制方法，该方法利用模糊系统来逼近完全未知的非线性函数。基于有限时间稳定性理论，该方案可以使闭环系统的所有信号有界，并且输出跟踪误差可以在有限时间内收敛到规定的小区域；同时，可以避免复杂性爆炸的问题。通过两个算例验证了该方法的有效性。