一类不确定线性时滞系统的输出反馈鲁棒H_∞ 控制(英文)  

Robust H_∞ Output Feedback Control for a Class of Uncertain Linear Systems with Time-Delay

作　　者：郑连伟[1] 黄守东[1] 刘晓平[2] 

机构地区：[1]东北大学理学院,沈阳110006 [2]东北大学信息科学与工程学院,沈阳110006

出　　处：《控制理论与应用》2001年第6期935-938,共4页Control Theory & Applications

基　　金：supportedbytheTrans CenturyTrainingProgramFoundationforTalentsStateCommissionofChina (1993 45 )andtheNationalNatu ralScienceFoundationofChina (699740 0 7)

摘　　要：研究具有仿射参数不确定性的线性时滞系统的鲁棒H∞ 输出反馈控制器设计问题 .得到了一些二次矩阵不等式 ,证明了如果它们有解 ,则从它们的解可以构造全阶严格真动态输出反馈控制器 ,它能保证闭环系统二次稳定且具有H∞ 范数意义下的干扰抑制能力 .进一步证明了在某些情况下 。This paper considers the problem of robust H ∞ output feedback controller design for linear time delay systems with polytopic uncertainty. A sufficient condition in terms of quadratic matrix inequalities is obtained, which guarantees the system is quadratically stabilizable with disturbance attenuation in the sense of H ∞ norm via a strictly proper dynamic output feedback controller of full order. Such a controller can be constructed from the solutions of quadratic matrix inequalities. It is shown that in some cases the quadratic matrix inequalities can be solved by converting them into linear matrix inequalities with the same variables.

关 键 词：输出反馈 线性矩阵不等式 不确定线性时滞系统 鲁棒H∞控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] O231[自动化与计算机技术—控制科学与工程]