信息与控制2012，Vol.41Issue(3)：339-343,355,6.DOI:10.3724/SP.J.1219.2012.00339
一类不确定切换奇异时滞系统的时滞依赖鲁棒镇定
Delay-dependent Robust Stabilization for a Class of Uncertain Switched Singular Systems with Time-delay
摘要
Abstract
The problem of robust stabilization for a class of uncertain switched singular systems with time-delay is considered. Firstly, by means of the multiple Lyapunov functional method and linear matrix inequality (LMI) tools and by introducing some appropriate free-weighting matrices, a delay-dependent stability criterion is given to ensure that the nominal unforced switched singular system is regular, impulse free and asymptotically stable under an appropriate switching law in terms of strict LMIs. Then, based on the criterion, a delay-dependent sufficient condition is deduced by designing state feedback sub-controllers, such that the resultant closed-loop systems are regular, impulse free and asymptotically stable for all admissible uncertainties. An explicit expression for the designed sub-controllers is also given. Numerical examples show that the results obtained are effective.关键词
奇异系统/切换系统/时滞依赖/线性矩阵不等式/鲁棒镇定Key words
singular system/ switched system/ delay-dependent/ linear matrix inequality (LMI)/ robust stabilization分类
信息技术与安全科学引用本文复制引用
高在瑞,沈艳霞,纪志成..一类不确定切换奇异时滞系统的时滞依赖鲁棒镇定[J].信息与控制,2012,41(3):339-343,355,6.基金项目
国家自然科学基金资助项目(61174032) （61174032）
教育部新世纪优秀人才支持计划资助项目(NCET-10-0437) （NCET-10-0437）
中央高校基本科研业务费专项资金资助项目(JUDCF10063). （JUDCF10063）
