摘要
研究了一类n阶参数不确定线性系统的输出反馈自适应镇定控制设计问题.通过引入一个3n阶动态补偿器,给出了输出反馈自适应镇定控制器的显示表达.并应用李雅普诺夫稳定性分析方法证明了闭环系统的稳定性.即闭环系统的原始状态是渐近收敛于零的,而其他所有的信号是一致有界稳定的.仿真试验进一步说明了理论方法的正确性.
A control design problem of the output-feedback adaptive stabilization for a class of n-order linear systems has been investigated. By introducing a 3 n-order dynamic compensator, the explicit expression of the output-feedback adaptive stabilizing controller is given. The stability of the system is proved by using Lyapunov stability theory. That is to say that the original signal of the closed-loop system asymptotically converges to zero while all the other signals of the closed-loop system are uniformly bounded. A simulation example illustrates the crrectness of the theoretical results furtherly.
出处
《山东大学学报(工学版)》
CAS
2006年第6期76-81,86,共7页
Journal of Shandong University(Engineering Science)
基金
国家自然科学基金(60304002)
山东省科技发展计划项目(2004GG4204014)
关键词
参数不确定系统
输出反馈
自适应镇定
李雅普诺夫稳定性理论
systems with unknown parameters
output-feedback
adaptive stabilization
Lyapunov stability theory