文献类型：期刊文献

中文题名：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

英文题名：Adaptive robust stabilization of a class of nonlinear systems with matched time-delay state disturbances

作者：吴敏[1];张凌波[2];刘国平[3]

机构：[1]中南大学信息科学与工程学院,湖南长沙410083;[2]华东理工大学信息科学与工程学院,上海200237;[3]中国科学院自动化研究所,北京100080

年份：2005

卷号：22

期号：5

起止页码：775

中文期刊名：控制理论与应用

外文期刊名：Control Theory & Applications

收录：CSTPCD;;EI(收录号：2005499528308);Scopus;北大核心:【北大核心2004】；CSCD:【CSCD2011_2012】；

基金：国家杰出青年科学基金资助项目(60425310)

语种：中文

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

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

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.
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.