奇异时滞系统对时滞参数的自适应控制  

Adaptive Control for Delay Parameters in Singular Time-delay Systems

作　　者：李圣涛[1] 刘晓华[1] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025

出　　处：《计算技术与自动化》2009年第3期1-4,共4页Computing Technology and Automation

基　　金：国家自然科学基金(60774016)

摘　　要：针对一类状态时滞奇异系统,研究状态反馈控制器的设计问题。基于Lyapunov稳定性理论和线性矩阵不等式(LMI)工具,当时滞常数精确已知时,设计带有记忆的状态反馈控制器,使得相应的闭环系统渐近稳定;当时滞常数不能精确已知时,通过求解相应的线性矩阵不等式,得到满足设计要求的对时滞参数的自适应控制器,使得时滞系统镇定。最后,仿真实例表明此方法的有效性。A state feedback controller is designed for singular systems with time - delay. Based on Lyapunov - Krasovskii stability theory and linear matrix inequalities, designing state feedback controller with memory to make corresponding closed - loop system stable when constant of time - delay is known accurately; By solving corresponding LMIS, an adaptive controller is designed to satisfy design requirements and make system with time - delay stabilization when constant of time - delay isn＇ t known accurately. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

关 键 词：时滞系统 奇异系统 线性矩阵不等式(LMIs) 自适应控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]