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

作　　者：吴敏[1] 张凌波[2] 刘国平[3] 

机构地区：[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

出　　处：《控制理论与应用》2005年第5期775-778,共4页Control Theory & Applications

基　　金：国家杰出青年科学基金资助项目(60425310)

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.

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 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]