具有输入时滞的不确定模糊系统的稳定性分析

Stability Analysis for Uncertain Fuzzy Systems with Input Delays

利用T-S模型,考虑了一类具有状态和控制输入时滞的不确定非线性系统的稳定性条件。基于Lyapunov-Krasovskii函数方法,在已知时滞项的上下界时,给出了系统渐近稳定的充分条件。状态反馈模糊控制器的设计方法以线性矩阵不等式的形式给出且结果是时滞依赖的。本文避免了对时滞项导数的约束,即允许时滞项可以快速的变化,两个例子证明了所给出方法的可行性和有效性。

This paper considers the stability conditions of uncertain nonlinear system with state and control input delays by using T-S fuzzy model.Base on Lyapunov-Krasovskii functional method,sufficient condition for the asymptotical stability of the system is obtained when the lower and upper bounds of the delays are known.Design method of the state feedback controller is derived in terms of linear matrix inequalities and the results are delay-dependent.No restriction on the derivative of the time-varying delay is needed,which allows the time-delay to vary fast.The efficiency of the method is demonstrated by two examples.