Abstract This paper aims at the problem of finite-time prescribed performance adaptive fuzzy control for a class of unknown nonlinear systems. An adjustable finite-time performance function with faster convergence rate is applied to the procedure of the controller design, whose parameters can be adjusted in real time on the basis of the tracking error. Furthermore, a finite-time prescribed performance adaptive fuzzy tracking controller is designed by the backstepping method, which can guarantee that all the signals in the closed-loop system are bounded. Simultaneously, the output tracking error always stays within an adjustable boundary and converges to a fixed region at finite-time settling time. Besides, the tracking performance in transient state is slightly optimized. Simulation results demonstrate the effectiveness of the proposed controller.

中文翻译：

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未知非线性系统的有限时间规定性能自适应模糊控制

摘要 本文针对一类未知非线性系统的有限时间规定性能自适应模糊控制问题。在控制器设计过程中应用了收敛速度较快的可调有限时间性能函数，其参数可根据跟踪误差实时调整。此外，采用反步法设计了一种有限时间规定性能的自适应模糊跟踪控制器，可以保证闭环系统中的所有信号都是有界的。同时，输出跟踪误差始终保持在可调边界内，并在有限时间稳定时间内收敛到固定区域。此外，瞬态跟踪性能略有优化。仿真结果证明了所提出控制器的有效性。