引用本文:吴 敏, 张凌波, 何 勇.具有未知上界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(1):114~117.[点击复制]
WU Min, ZHANG Ling-bo, HE Yong.Adaptive robust stabilization for a class of nonlinear systems with time-delay state disturbance[J].Control Theory and Technology,2005,22(1):114~117.[点击复制]
具有未知上界时滞状态扰动的非线性系统自适应鲁棒镇定
Adaptive robust stabilization for a class of nonlinear systems with time-delay state disturbance
摘要点击 1470  全文点击 1204  投稿时间:2003-08-25  修订日期:2004-02-17
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DOI编号  10.7641/j.issn.1000-8152.2005.1.023
  2005,22(1):114-117
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项目(60425310); 教育部优秀青年教师奖项目.
作者单位
吴 敏, 张凌波, 何 勇 中南大学 信息科学与工程学院,湖南 长沙 410083 
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.时滞状态扰动的上界是未知的.在控制中通过自适应律估计上界的值,并且利用估计值设计鲁棒控制器.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
      Adaptive robust stabilization for a class of nonlinear systems with time-delay state disturbance is discussed.The bound of the time-delay state disturbance is unknown.And an adaptive law is proposed to estimate the bound of the disturbance,and the estimated value is used to design a robust controller.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.