不确定性时滞系统的鲁棒镇定控制器设计——LMI方法  

Designing of the Robust Stabilizing Controller for Uncertain Delay Systems——LMI Approach

作　　者：程储旺[1] 宋执环[1] 孙优贤[1] 

机构地区：[1]浙江大学工业控制技术国家重点实验室

出　　处：《控制理论与应用》1999年第5期655-658,663,共5页Control Theory & Applications

基　　金：国家"九.五"重点科技攻关;国家自然科学基金!(69604007) ;中国博士后科学基金

摘　　要：采用线性矩阵不等式方法，研究一类不确定性动态系统．这类系统具有多重时变状态时滞和多重时变控制输入时滞，其不确定性满足范数有界条件．我们得到了一类不确定性时滞系统可状态反馈镇定的充分条件．通过解几个特定线性矩阵不等式，即可得到镇定已知系统的控制器．Using linear matrix inequality approach,this paper deals with a class of uncertain dynamic systems.The class of systems under consideration is described by a continuous time uncertain model with multiple time varying delays in both states and controls.The uncertainties are unknown but norm bounded.A sufficient condition for a class of uncertain delay system to be stabilizable is obtained.It is shown that the construction of the stabilizing controller involves solving several linear matrix inequalities.Finally,an example is given both to illustrate the proposed approach's effectiveness and to show the proposed approach's advantages over Riccati equation approach.

关 键 词：时变时滞 不确定性系统 鲁棒镇定 控制器 LMI 

分 类 号：O231[理学—运筹学与控制论] TP273[理学—数学]