不确定多通道奇异时滞系统分散H∞控制  

Decentralized H-infinity control for multi-channel uncertain descriptor systems with time-delay

作　　者：陈宁[1] 桂卫华[1] 翟贵生[2] 

机构地区：[1]中南大学信息科学与工程学院,湖南长沙410083 [2]大阪府立大学工学院,日本大阪599-8531

出　　处：《控制理论与应用》2009年第6期669-672,共4页Control Theory & Applications

基　　金：国家自然科学重点基金项目(60634020);湖南省自然科学基金资助项目(07JJ6138);中国博士后科学基金资助项目(20060390883);高校博士点专项科研基金资助项目(20070533132)

摘　　要：针对不确定多通道奇异时滞大系统,研究其分散鲁棒H∞控制问题.假定不确定性是时不变、范数有界.基于奇异系统Lyapunov稳定性理论,通过设定Lyapunov-Krasovskii矩阵为合适的块对角结构,推导出了使不确定多通道奇异时滞大系统可鲁棒镇定,且满足一定的扰动水平的充分条件即一组线性矩阵不等式(LMIs)有可行解.给出了具有期望阶数的分散输出反馈H∞控制器的设计方法.A robust decentralized H-infinity control is studied for uncertain multi-channel descriptor systems with timedelay. The uncertainties are assumed to be time-invariant, norm-bounded. A sufficient condition for the uncertain multichannel descriptor time-delay system to be robustly stabilizable with a specified disturbance attenuation level is derived based on the theorem of Lyapunov stability theory in which the Lyapunov-Krasovskii matrix is set to a block diagonal form with compatible order to the controller. This condition is in terms of linear matrix inequalities（LMIs） with a feasilSle solution. The design of the decentralized H-infinity control with desired order and output feedback is given.

关 键 词：多通道奇异系统 分散H∞控制 时滞 不确定性 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]