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 and Technology,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 1154  全文点击 1138  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.