基于观测器模糊时滞系统指数稳定的设计方法

Exponential stability for a class of uncertain time-delay nonlinear systems by T-S model

研究了一类模糊时滞系统的指数稳定问题。首先利用T-S模型对非线性不确定性时滞系统进行建模,在此基础上设计了基于观测器的模糊状态反馈控制器,通过巧妙选取Lyapunov函数给出了模糊闭环时滞系统的条件及稳定裕度且模糊反馈增益和模糊观测器增益可通过求解线性矩阵不等式获得。

Abstract： In this paper we present an exponential stability approach for a class of uncertain time -delay nonlinear systems by T - S model through state feedback and fuzzy observer -based controller. By using Lyapunov founction, sufficient conditions are deriverd for exponential stability and formulated in terms of linear matrix inequalities. Also the control gain and observer gain can be solved through the LMI.