The finite-time adaptive fuzzy tracking control problem for a class of strict-feedback uncertain switched systems is investigated in this paper. Based on fuzzy approximation and adaptive dynamic surface control (DSC) technique, a finite-time adaptive state feedback fuzzy controller is developed via the common Lyapunov functions. Different from the existing works on uncertain switched systems, the DSC control scheme is developed based on a nonlinear filter to solve the “explosion of complexity” problem, and the structure of the proposed fuzzy controller is simple. Under the designed controller, all the signals of the closed-loop system remain semi-globally bounded, and within a finite-time interval, the system tracking error converges to an arbitrarily small region. That is, the semi-globally practical finite-time stability of the controlled system is guaranteed. To show the availability of the presented control scheme, a simulation example is given in this paper.

研究了一类严格反馈不确定切换系统的有限时间自适应模糊跟踪控制问题。基于模糊逼近和自适应动态表面控制（DSC）技术，通过通用的Lyapunov函数开发了有限时间自适应状态反馈模糊控制器。与不确定开关系统的现有工作不同，基于非线性滤波器开发了DSC控制方案以解决“复杂性爆炸”问题，并且所提出的模糊控制器的结构简单。在设计的控制器下，闭环系统的所有信号均保持半全局有界，并且在有限的时间间隔内，系统跟踪误差收敛到任意小的区域。那是，保证了受控系统的半全局实用时限稳定性。为了显示所提出的控制方案的可用性，本文给出了一个仿真示例。