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

作　　者：吴敏[1] 张凌波[1] 何勇[1] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083

出　　处：《控制理论与应用》2005年第1期114-117,共4页Control Theory & Applications

基　　金：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.

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.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.

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：TB114[理学—概率论与数理统计]