线性分式不确定时变时滞奇异系统的鲁棒稳定性分析(英文)  

Robust stability analysis for linear fractional uncertain singular systems with time-varying delay

作　　者：赵杰梅 张显[2] 张利军[1] 

机构地区：[1]哈尔滨工程大学自动化学院,哈尔滨150001 [2]黑龙江大学数学科学学院,哈尔滨150080

出　　处：《黑龙江大学自然科学学报》2011年第1期8-13,共6页Journal of Natural Science of Heilongjiang University

基　　金：Supported by the National Natural Science Foundation of China(G60704004);the Fund of Heilongjiang Education Committee(11541264)

摘　　要：研究带有两个时变时滞不确定奇异系统的鲁棒稳定性问题,不确定是线性分式形式。最近,一种包含多个时滞的模型被提出。把此模型推广到奇异系统,通过线性矩阵不等式方法,给出使系统正则,无脉冲和稳定的时滞相关判据。数值例子表明了所提出方法的有效性和优越性。The robust stability problem for uncertain singular systems with two additive time-varying delay components is considered. The uncertainty under consideration is of a linear fractional form. The state-space systems that contain multiple successive state delays are generalized to singular systems. Via linear matrix inequality （LMI） approach, a delay-dependent stability criterion is given to ensure the singular system is regular, impulse free and stable for all admissible uncertainties. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

关 键 词：奇异系统 时变时滞 鲁棒稳定 线性分式不确定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]