一类线性时滞系统的鲁棒稳定性分析  

Delay-Dependent Robust Stability Analysis for a Class of Linear Systems with Delays

作　　者：金辉[1] 郭戈[1] 

机构地区：[1]大连海事大学信息技术学院,辽宁大连116026

出　　处：《控制工程》2009年第4期398-402,共5页Control Engineering of China

基　　金：国家自然科学基金资助项目(60504017);新世纪优秀人才支持计划基金资助项目(NCET-04-0982);霍英东教育基金资助项目(111066);大连海事大学青年教师科研基金资助项目(DLMU-ZL-200805)

摘　　要：针对一类具有范数有界不确定性和2个继发时变时滞的线性时滞不确定系统,研究了其时滞依赖鲁棒稳定性问题。通过定义充分利用时变时滞上下界信息的新型Lyapunov-Krasovskii泛函,并结合时滞系统相关处理方法和线性矩阵不等式方法,得到了时滞线性不确定系统鲁棒渐近稳定所满足的条件。为了降低结论的保守性,对某些项进行了较紧致的估计。此外,并未引入自由权矩阵。最后并通过2个数值仿真证实了方法的有效性和优越性。The problem of delay-dependent robust stability criteria is considered for a class of linear uncertain systems with two successive delay components in the state and norm bounded uncertainty. By exploiting a new Lyapunov-Krasovskii functional with information of the lower and upper bounds of the time-varying delay, and by making use of techniques for time-delay systems, the delay-dependent robust stability condition is obtained in the form of linear matrix inequality. In order to obtain much less conservative results, a tighter bounding for some terms is estimated. Moreover, no free-weight matrix is introduced. Finally, simulation examples show that the proposed method is effective and less conservative.

关 键 词：时滞系统 时滞依赖 线性矩阵不等式(LMI) 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]