FREQUENCY DOMAIN CRITERIA FOR ROBUST D-STABILITY OF MIMO SYSTEMS BASED ON LMI METHOD  

作　　者：李海滨 王志珍 王龙 李兆平 李尔效 

机构地区：[1]Department of Mechanics and Engineering Science Peking University,Beijing 100871, P. R. China [2]P. O. Box 1303-15, Beijing 100073, P. R. China [3]Department of Applied Mathematics Shanghai Normal University,Shanghai 200234, P. R. China [4]P. O. Box 1303-15 Beijing 100073, P. R. China [5]P. O. Box 53-601 Lanzhou 730070, P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第2期207-213,共7页应用数学和力学（英文版）

基　　金：Project supported by Post-Doctoral Science Foundation of China

摘　　要：The problem of checking robust D-stability of multi-in and multi-out （MIMO） systems was studied. Three system models were introduced, i.e. multilinear polynomial matrix, polytopic polynomial matrix and feedback system model. Furthermore, the convex property of each model with respect to the parametric uncertainties was estabilished respectively. Based on this, sufficient conditions for D-stability were expressed in terms of linear matrix inequalities （LMIs） involving only the convex vertices. Therefore, the robust D-stability was tested by solving an LMI optimal problem.The problem of checking robust D-stability of multi-in and multi-out （MIMO） systems was studied. Three system models were introduced, i.e. multilinear polynomial matrix, polytopic polynomial matrix and feedback system model. Furthermore, the convex property of each model with respect to the parametric uncertainties was estabilished respectively. Based on this, sufficient conditions for D-stability were expressed in terms of linear matrix inequalities （LMIs） involving only the convex vertices. Therefore, the robust D-stability was tested by solving an LMI optimal problem.

关 键 词：polynomial matrix robust D-stability Linear matrix inequalities parametric uncertainty 

分 类 号：O232[理学—运筹学与控制论]