不确定离散广义系统的时滞相关非脆弱无源控制  

Delay-dependent nonfragile passive control for uncertain discrete-time singular systems

作　　者：李琴[1] 张庆灵[1] 安祎春[1] 

机构地区：[1]东北大学系统科学研究所,沈阳110004

出　　处：《控制与决策》2007年第8期907-911,共5页Control and Decision

基　　金：国家自然科学基金项目(60574011)

摘　　要：针对不确定离散时滞广义系统,研究其时滞相关鲁棒严格无源、渐近稳定性以及相关的非脆弱控制问题.首先利用线性矩阵不等式(LMI)和自由权矩阵的概念,分析了离散广义系统时滞相关严格无源以及渐近稳定性的条件;然后讨论不确定离散广义系统的时滞相关鲁棒严格无源和渐近稳定性,并讨论具有加性非脆弱反馈控制设计使得闭环系统满足相应性能,同时给出控制器的构造方法;最后通过数值算例说明该方法的有效性.For uncertain discrete-time singular systems, the problems of the delay-dependent robustly strict passivity, asymptotical stability and correlative nonfragile control are studied. By using linear matrix inequalities and introducing free weighting matrices, the condition for discrete-time singular systems to be delay-dependent strictly passive and asymptotically stable is analyzed. Then the delay-dependent robustly strict passivity and the asymptotical stability for uncertain discrete-time singular systems are discussed, and the feedback controller with additive form is designed, which makes the closed-loop systems meet the given performance, at the same time, the controller is presented. Finally, numerical example shows the effectiveness of the proposed criteria.

关 键 词：离散广义系统 不确定时滞系统 严格无源 渐近稳定 非脆弱控制 时滞相关 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]