一类多时滞非线性系统的自适应鲁棒镇定  

Adaptive Robust Stabilization for a Class of Nonlinear Systems With Multiple Time Delays

作　　者：文静[1] 吴敏[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：《自动化技术与应用》2004年第2期18-21,28,共5页Techniques of Automation and Applications

基　　金：国家博士点基金资助项目 (2 0 0 0 0 5330 3);教育部青年教师资助项目 (教人 [2 0 0 2 ] 5号 )

摘　　要：本文针对一类具有多时滞状态扰动的非线性系统 ,讨论了其自适应鲁棒镇定问题。在本文中 ,多时滞状态扰动的上界未知 ,通过设计自适应律估计上界的值。基于Lyapunov -Krasovskii函数设计了鲁棒控制器 ,使闭环系统的鲁棒镇定问题可解。一个数值例子的仿真验证了结论的正确性。The paper discusses adaptive robust stabilization problem for a class of nonlinear systems with multiple time delays under perturbations. In the paper, the upper bound of the perturbations of the delay state is unknown, and an adaptive law is proposed to estimate the value of the bound. Based on Lyapunov-Krasovskii function,the controller is proposed to make that the robust stabilization problem of the closed-loop system is solvable. A numerical example is given to verify the correctness of the conclusion in the paper.

关 键 词：非线性系统 多时滞不确定性 自适应控制 鲁棒镇定 仿真 Lyapumov-Krasovskii函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]