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T—S模糊时滞系统时滞相关稳定性分析
引用本文:张波,陈兵.T—S模糊时滞系统时滞相关稳定性分析[J].青岛大学学报(工程技术版),2009,24(1):30-34.
作者姓名:张波  陈兵
作者单位:青岛大学自动化工程学院复杂性科学研究所,山东,青岛,266071
摘    要:基于T—S模糊模型方法,研究具有状态时滞的非线性时滞系统稳定性问题,以给出具有更小保守性的稳定性条件。利用Lyapunov稳定性理论和线性矩阵不等式方法,并结合自由权矩阵技术,给出了非线性时滞系统在时滞相关意义下稳定的充分条件。数值实例的仿真结果验证了所提出方法的有效性。

关 键 词:非线性时滞系统  T—S模糊模型  稳定性  线性矩阵不等式

Delay-Dependent Stability Analysis for T-S Fuzzy Systems with Time-Delay
ZHANG Bo,CHEN Bing.Delay-Dependent Stability Analysis for T-S Fuzzy Systems with Time-Delay[J].Journal of Qingdao University(Engineering & Technology Edition),2009,24(1):30-34.
Authors:ZHANG Bo  CHEN Bing
Affiliation:Institute of Complexity Science at Automation and Engineering College;Qingdao University;Qingdao 266071;China
Abstract:In order to propose a less conservative stability condition,the problem of stability analysis for nonlinear systems with state time-delay is addressed based on T-S fuzzy model approach.A sufficient delay-dependent condition for stability is proposed by using Lyapunov stability theories,LMI approach,and free-weighting matrix technique.An example is used to illustrate the effectiveness of the approach proposed in this paper.
Keywords:nonlinear systems with time-delay  T- S fuzzy model stability linear matrix inequality (LMI)
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