一类具有匹配时滞状态扰动的非线性系统自适应鲁棒镇定

吴 敏; 张凌波; 刘国平

引用本文:	吴敏, 张凌波, 刘国平.一类具有匹配时滞状态扰动的非线性系统自适应鲁棒镇定[J].控制理论与应用,2005,22(5):775~778.[点击复制]
	WU Min,ZHANG Ling-bo,LIU Guo-ping.Adaptive robust stabilization of a class of nonlinear systems with matched time-delay state disturbances[J].Control Theory & Applications,2005,22(5):775~778.[点击复制]

一类具有匹配时滞状态扰动的非线性系统自适应鲁棒镇定

Adaptive robust stabilization of a class of nonlinear systems with matched time-delay state disturbances

摘要点击 1947 全文点击 1413 投稿时间：2003-07-12 修订日期：2004-12-16

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DOI编号 10.7641/j.issn.1000-8152.2005.5.020

2005,22(5):775-778

中文关键词非线性系统时滞不确定性自适应控制鲁棒稳定一致最终有界

英文关键词 nonlinear systems time-delay uncertainties adaptive control robust stabilization uniform ultimately boundedness

基金项目国家杰出青年科学基金资助项目(60425310)

作者	单位
吴敏, 张凌波, 刘国平	中南大学信息科学与工程学院,湖南长沙410083 华东理工大学信息科学与工程学院,上海200237 中国科学院自动化研究所,北京100080

中文摘要

讨论了一类具有时滞状态扰动的非线性系统的自适应鲁棒镇定问题,所考虑的时滞状态扰动的上界与时变函数相关并且含有未知参数.通过自适应律估计未知参数,并且利用估计值设计了鲁棒控制器.同时,基于Lyapunov-Krasovskii函数,证明了闭环系统具有一致最终有界意义下的鲁棒稳定性.最后,通过一个数值例子的仿真验证了结论的正确性.

英文摘要

The paper discusses adaptive robust stabilization for a class of nonlinear systems with matched time-delay state disturbances.The upper bounds of the time-delay state disturbances depend on time-varying functions and contain unknown parameters.Adaptive laws are proposed to estimate the unknown parameters,and robust controllers are designed using the estimated values.Based on Lyapunov-Krasovskii function,it is shown that the closed-loop system is stable in the sense of uniform ultimately boundedness.Finally,a numerical example is given to verify the correctness of the conclusion.