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基于观测器的模糊时滞系统指数稳定的一种设计方法
引用本文:段振辉,李俊强,卜春霞.基于观测器的模糊时滞系统指数稳定的一种设计方法[J].数学的实践与认识,2008,38(24).
作者姓名:段振辉  李俊强  卜春霞
作者单位:1. 河南机电高等专科学校,基础部,河南,新乡,453002
2. 郑州大学,数学系,河南,郑州,450000
摘    要: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.

关 键 词:不确定时滞系统  模糊观测器  指数稳定  线性矩阵不等式

Exponential Stability for a Class of Uncertain Time-delay Nonlinear Systems by T-S Model Duanzhenhui etc
DUAN Zhen-hui,LI Jun-qiang,BU Chun-xia.Exponential Stability for a Class of Uncertain Time-delay Nonlinear Systems by T-S Model Duanzhenhui etc[J].Mathematics in Practice and Theory,2008,38(24).
Authors:DUAN Zhen-hui  LI Jun-qiang  BU Chun-xia
Institution:1.Department of Basic Course Henan Mechanical and Electrical Engineering College;Xinxiang 453002;China;2.Zhengzhou University Department of Mathmatics;Zhengzhou 450000;China
Abstract: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.
Keywords:uncertain time-delay nonlinear systems  fuzzy observer-based  exponential stability  LMI  
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