不确定多时滞广义系统的非脆弱鲁棒H_∞控制  

Non-fragile robust H_∞ control for uncertain generalized systems with multiple time-delays

作　　者：严会美[1] 张高民[1] 

机构地区：[1]中国石油大学数学与计算科学学院,山东东营257061

出　　处：《山东理工大学学报（自然科学版）》2011年第1期41-44,共4页Journal of Shandong University of Technology:Natural Science Edition

摘　　要：研究了一类状态含有多时滞的不确定广义系统的非脆弱H∞控制问题.主要利用Lya-punov函数方法和LMI(线性矩阵不等式)方法,对一般情况,获得了使广义闭环系统渐近稳定且满足H∞扰动抑制水平γ的时滞相关充分条件.分别针对控制器加法和乘法不确定性给出其相应的非脆弱鲁棒H∞状态反馈控制器的设计方法.The non-fragile H∞control problem for a class of singular systems with unmatched uncertainties and multiple time-delays was researched. Lyapunov function method and linear matrix inequality were used to obtain a set of sufficient conditions. The conditions ensure that the generalized closed-loop system is asymptotically stable and satisfy the limitation of H∞ performance. Two design methods were given, which correspond to the additive and multiplicative uncertainties of controller, respectively.

关 键 词：多时滞广义系统 非脆弱鲁棒H∞控制 不确定性 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]