线性时滞奇异系统的时滞相关鲁棒稳定性与鲁棒镇定条件  

The Delay-Dependent Robust Stability and Robust Stabilizability for Linear Delay Singular Systems

作　　者：海泉[1] 包俊东[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2010年第5期451-457,共7页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自然科学基金资助项目(200711020104)

摘　　要：讨论了线性时滞奇异系统的时滞相关鲁棒稳定性与鲁棒可镇定性问题.首先,利用Lyapunov-Krasovskii泛函方法,通过建立一个积分不等式和引入"0"矩阵,得到一个时滞相关鲁棒稳定条件;其次,根据该鲁棒稳定性条件,给出对状态反馈后的闭环系统正则、无脉冲、稳定的鲁棒镇定控制器设计方法;最后,通过数值仿真例子验证了所提出方法的可行性.In this paper the delay-dependent robust stability and robust stabilizability problem for linear delay singular systems is discussed.First of all,by using Lyapunov-Krasovskii functional method,through the establishment of an integral inequality and adding ＂zero＂ matrix,delay-dependent robust stabilization condition is obtained.Secondly,according to the robust stability condition,the robust stabilization controller which made closed-loop system to be regular,impulse-free,stable.In the end numerical simulation results demonstrate the method proposed in this paper is feasibility.

关 键 词：奇异系统 时滞相关 鲁棒稳定性 鲁棒可镇定 

分 类 号：O231.1[理学—运筹学与控制论]