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时滞系统稳定性分析:一种积分等式方法 被引量：3

Stability analysis of time-delay systems:An integral-equality approach
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摘要 提出一种积分等式方法研究时滞系统稳定性问题.该方法是已有积分不等式方法的改进.结合自由权矩阵构建积分等式,且自由权矩阵的选取由Lyapunov-Krasovskii泛函的导数确定,从而在稳定条件的推导过程中,不引入任何模型转换及限界方法.基于该方法,可得到具有更低保守性的稳定条件.仿真例子说明了所提方法的有效性. An integral-equality approach is presented to study the stability of time-delay systems, which is an improved version of the integral inequality and is constructed with free weighting matrices. The free terms are chosen according to the derivative of the Lyapunov-Krasovskii employed. As a result, neither model transformation nor bounding technique is introduced during the stability analysis. Less conservative stability criteria can be obtained based on the proposed approach. Numerical examples show the effectiveness of the proposed method.
作者 李旭光 朱新坚 曹广益
机构地区 上海交通大学自动化系
出处 《控制与决策》 EI CSCD 北大核心 2008年第4期473-476,共4页 Control and Decision
基金 国家863计划项目(2003AA517020)
关键词 时滞系统 稳定性 线性矩阵不等式 LYAPUNOV-KRASOVSKII泛函 Time-delay systems Stability Linear matrix inequality Lyapunov-Krasovskii functional
分类号 TP13 [自动化与计算机技术—控制理论与控制工程]
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参考文献8

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同被引文献30

  • 1KWON H K, MOON Y S, SAM Y,et al. Delay-dependent robust stabilization of uncertain state--delayed systems[J]. INT. J. Control,2001, 74(14) :1447-1455.
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  • 3YONG He, WANG Qing-guo, XIE Li--hua, et al. Further Improvement of Free--Weighting. Matrices Technique for Systems With Time-Varying Delay[J]. IEEE Transactions on Automatic Contrlol, 2007, 52(2):293-299.
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  • 5YANG R,SHI P,GAO H. New delay--dependent stability criterion for stochastic systems with time delays[J]. The Institution of Engineering and Technology, 2008,2 (11) : 966 - 973.
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2008年 第4期

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