带非线性扰动的不确定多时变时滞系统H<sub>∞</sub>鲁棒稳定性

马新军; 向少华; 胥布工; 黄德先

引用本文:	马新军,向少华,胥布工,黄德先.带非线性扰动的不确定多时变时滞系统H_∞鲁棒稳定性[J].控制理论与应用,2006,23(4):631~635.[点击复制]
	MA Xin-jun, XIANG Shao-hua, XU Bu-gong, HUANG De-xian .H-infinity robust stability for uncertain systems with multiple time-varying delays and nonlinear perturbations[J].Control Theory and Technology,2006,23(4):631~635.[点击复制]

带非线性扰动的不确定多时变时滞系统H_∞鲁棒稳定性

H-infinity robust stability for uncertain systems with multiple time-varying delays and nonlinear perturbations

摘要点击 1447 全文点击 783 投稿时间：2004-07-02 修订日期：2005-11-11

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DOI编号 10.7641/j.issn.1000-8152.2006.4.026

2006,23(4):631-635

中文关键词鲁棒稳定性时滞不确定非线性扰动

英文关键词 robust stability time delay uncertain nonlinear perturbations

基金项目国家自然科学基金资助项目(60334010); 广东省自然科学基金资助项目(31406); 高等学校博士学科点专项科研基金资助项目(20030561013)

作者	单位
马新军,向少华,胥布工,黄德先	广东省科学院自动化工程研制中心,广东广州510070 清华大学自动化系,北京100084 华南理工大学自动化科学与工程学院,广东广州510640 清华大学自动化系,北京100084

中文摘要

研究了带非线性扰动的不确定多时变时滞系统的H_∞鲁棒稳定性．其中不确定项是范数有界的,非线性扰动满足线性约束．基于Lyapunov-Krasovskii泛函,根据矩阵不等式技术和非线性处理方法,提出了两个新的时滞稳定性的结果．最后给出了两个示例,表明本文提出的方法与存在的文献结果相比,具有较少的保守性和良好的有效性．

英文摘要

The robust H-infinity stability is studied for uncertain systems with multiple time-varying delays and nonlinear perturbations. The uncertainties are norm-bounded, and the nonlinear perturbations meet linear constraints. Based on Lyapunov-Krasovskii functional, two new delay-dependent results are presented in terms of matrix inequalities technique and nonlinear dealing method. In the end, two examples are given to illustrate that the presented method is less conservative and more effective than the existing ones.