一类非线性时滞系统的自适应模糊反向递推控制

针对一类含有未知函数的非线性时滞系统，提出了一种自适应模糊跟踪控制器的设计方案。在自适应反向递推设计方法的基础上，采用模糊逻辑系统在线辨识非线性未知函数，采用自适应边界技术估计辨识误差上界。Domination方法和构造合适的Lyapunov-Krasovskii泛函相结合抵消了非线性时滞项对系统的影响。证明了闭环系统为半全局一致最终有界，通过调节设计参数可以实现任意的跟踪精度。实例仿真说明了方案的可行性。

Adaptive Fuzzy Backstepping Control for a Class of Nonlinear Time-delay Systems

The design scheme of an adaptive fuzzy tracking controller was proposed for a class of nonlinear time-delay systems with unknown functions.Based on Backstepping design technique,nonlinear unknown functions were approximated by fuzzy logic systems and the adaptive bounding technique was employed to estimate the upper bound of the approximation errors.Constructing appropriate Lyapunov-Krasovskii functional and Domination technique were combined to compensate for the influence of nonlinear delay items on the s...