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一类模糊不确定时滞系统的非脆弱控制
引用本文:黄轶,李波,张大庆,何希勤. 一类模糊不确定时滞系统的非脆弱控制[J]. 鞍山科技大学学报, 2008, 31(2): 135-140
作者姓名:黄轶  李波  张大庆  何希勤
作者单位:华北科技学院电子信息工程系 河北燕郊065201(黄轶),辽宁科技大学应用数学研究所 辽宁鞍山114051(李波,张大庆,何希勤)
摘    要:研究了一类模糊不确定时滞系统的非脆弱控制问题。针对控制器增益具有加性摄动、乘性摄动两种情况,基于Lapunov稳定性分析方法,提出了用非线性矩阵不等式表示的模糊时滞不确定系统的时滞相关稳定性判据;采用参数设定方法及其Schur补引理,把非线性矩阵不等式条件转换成线性矩阵不等式条件;一个仿真实例验证了本文提出方法的有效性。

关 键 词:非线性时滞系统  非脆弱控制  鲁棒控制  模糊T-S模型
文章编号:1674-1048(2008)02-0135-07
修稿时间:2008-04-02

Non-fragile control for a class of uncertain T-S fuzzy system with time-delay
HUANG Yi,LI Bo,ZHANG Da-qing,HE Xi-qin. Non-fragile control for a class of uncertain T-S fuzzy system with time-delay[J]. Journal of Anshan University of Science and Technology, 2008, 31(2): 135-140
Authors:HUANG Yi  LI Bo  ZHANG Da-qing  HE Xi-qin
Affiliation:HUANG Yi1,LI Bo2,ZHANG Da-qing2,HE Xi-qin2
Abstract:The problem of non-fragile control for a class of uncertain T-S fuzzy system with time delay was studied.Two classes of perturbations were considered,namely,additive perturbation and multiplicative perturbation.First,based on Lyapunov stability method,delay-dependent stability criteria are proposed in the form of non-linear matrix inequalities.Then,parameter setting methods and Schur complement are employed to transform non-linear matrix inequalities into linear matrix inequalities.Finally,a simulation example is given to illustrate the effectiveness of the proposed methods.
Keywords:non-linear system with time-delay  non-fragile control  Robot control  T-S fuzzy system
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