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时滞不确定Lurie系统的鲁棒绝对稳定性准则
引用本文:王岩青,王在华.时滞不确定Lurie系统的鲁棒绝对稳定性准则[J].计算技术与自动化,2011,30(1):17-20.
作者姓名:王岩青  王在华
作者单位:解放军理工大学,理学院数理系,江苏,南京,211101
摘    要:研究一类具有时变时滞的范敷有界结构不确定性Lurie控制系统的鲁棒绝对稳定性问题.利用Lyapunov-Krasovskii泛函方法,分别给出系统在无限扇形及有限扇形角内绝对稳定的时滞相关充分条件,所给的判定条件是线性矩阵不等式(LMI)形式的,可以很方便地运用Matlab工具葙求解.两个数值实例表明,本文所给条件是有...

关 键 词:Lurie控制系统  时变时滞  不确定参数  绝对稳定  线性矩阵不等式(LMI)

Criteria of Robust Absolute Stability for Time delay Uncertain Lurie Systems
WANG Yan qing,WANG Zai hua.Criteria of Robust Absolute Stability for Time delay Uncertain Lurie Systems[J].Computing Technology and Automation,2011,30(1):17-20.
Authors:WANG Yan qing  WANG Zai hua
Affiliation:(Institute of Sciences,PLA univ.of Sci.&Tech,Nanjing 211101,China)
Abstract:The problem of robust absolute stability for time-varying delay Lurie systems with structured uncertainty is investigated.Using Lyapunov-Krasovskii function method,two delay-dependent criterions forabsolute stability of systems in infinite sector and finite sector is respectively given.The proposed condition is in terms of a linear matrix inequality(LMI) which can be easily solved by Matlab toolbox.Two illustrative example shows that the condition obtained in this paper is effective and feasible.
Keywords:lurie control systems  time-varying delay  uncertain parameter  absolute stability  linear Matrix Inequality(LMI)
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