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.
出处
《控制与决策》
EI
CSCD
北大核心
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)
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
Discrete-time singular systems
Uncertain time-delayed systems
Strict passivity
Asymptotically stable
Nonfragile control
Delay-dependent
