一类模糊不确定时滞系统的非脆弱控制  

Non-fragile control for a class of uncertain T-S fuzzy system with time-delay

作　　者：黄轶[1] 李波[2] 张大庆[2] 何希勤[2] 

机构地区：[1]华北科技学院电子信息工程系,河北燕郊065201 [2]辽宁科技大学应用数学研究所,辽宁鞍山114051

出　　处：《辽宁科技大学学报》2008年第2期135-140,144,共7页Journal of University of Science and Technology Liaoning

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。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 multiplieative 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.

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 

分 类 号：O231.2[理学—运筹学与控制论]