变时滞不确定Lurie系统的时滞分布依赖鲁棒稳定性分析(英文)  

Delay-distribution-dependent Robust Stability Analysis of Uncertain Lurie Systems with Time-varying Delay

作　　者：MUKHIJA Pankaj KAR Indra Narayan BHATT Rajendra Kumar Purushottam 

机构地区：[1]Department of Electrical Engineering, Indian Institute of Technology Delhi

出　　处：《自动化学报》2012年第7期1100-1106,共7页Acta Automatica Sinica

摘　　要：In this paper, the problem of robust absolute stability of Lurie system with probabilistic time-varying delay and normbounded parametric uncertainty is considered. The time delay variation range is divided into two sub-intervals. By considering the probability distribution of the time-varying delay between the two sub-intervals and the knowledge of the delay variation range, a novel linear matrix inequalities (LMIs) based stability condition is derived by defining a Lyapunov Krasovskii functional. It is illustrated with the help of numerical examples that the derived stability criteria can lead to less conservative results as compared to the results obtained by the traditional method of using the delay variation range information only.In this paper, the problem of robust absolute stability of Lurie system with probabilistic time-varying delay and norm- bounded parametric uncertainty is considered. The time delay variation range is divided into two sub-intervals. By considering the probability distribution of the time-varying delay between the two sub-intervals and the knowledge of the delay variation range, a novel linear matrix inequalities （LMIs） based stability condition is derived by defining a Lyapunov Krasovskii functional. It is illustrated with the help of numerical examples that the derived stability criteria can lead to less conservative results as compared to the results obtained by the traditional method of using the delay variation range information only.

关 键 词：LURIE系统 时间延迟 鲁棒稳定性分析 时变时滞 LYAPUNOV泛函 鲁棒绝对稳定性 线性矩阵不等式 参数不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]