带非线性扰动的不确定时滞系统的鲁棒稳定性

广东工业大学学报 ›› 2004, Vol. 21 ›› Issue (1): 22-25.

带非线性扰动的不确定时滞系统的鲁棒稳定性

华南理工大学自动化科学与工程学院；华南理工大学自动化科学与工程学院广东广州510640；广东广州510640；

出版日期:2004-03-03 发布日期:2004-03-03
基金资助:
国家自然科学基金项目(60074026);广东省自然科学基金项目(000409)

Robust Stability for Uncertain Time-delay Systems with Nonlinear Perturbation

(College of Automation science & Engineering, South China University of Technology,Guangzhou 510640,China)

Online:2004-03-03 Published:2004-03-03

摘要/Abstract

摘要： 针对一类同时具有非线性扰动和范数有界不确定参数的时滞系统,研究得到了系统的时滞相关的稳定性判据,结果表示为线性矩阵不等式(LMI)形式,容易数值处理.最后以一个计算例子说明其用法,并与现有的文献结果比较以显示其有效性.

关键词: 时滞不确定系统；时滞相关稳定性；线性矩阵不等式；

Abstract: The delay-dependent stability criterion for uncertain time-delay systems with nonlinear perturbation is established in this paper.The result is presented in the form of LMI problem,which is easy to be calculated.Finally,an example is given to illustrate the proposed method and to show the superiority of the obtained results to those in the literature.

Key words: uncertain time-delay systems； delay-dependent stability； LMI approach；

彭达洲；胥布工； . 带非线性扰动的不确定时滞系统的鲁棒稳定性[J]. 广东工业大学学报, 2004, 21(1): 22-25.

PENG Da-zhou,XU Bu-gong . Robust Stability for Uncertain Time-delay Systems with Nonlinear Perturbation[J]. Journal of Guangdong University of Technology, 2004, 21(1): 22-25.

参考文献

[1] 陈东彦,徐世杰. 时滞不确定系统的时滞相关稳定性[J]. 哈尔滨工业大学学报. 2001(06)

[2] 吴方向,周宗锡,史忠科,戴冠中. 时滞系统的鲁棒稳定性分析[J]. 控制与决策. 1999(S1)

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[6] XU B.Stability robustness bounds for linear systems with multiple time varying delayed perturbations. International Journal of Systems Science . 1997

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