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

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

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.

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作 者: LI Hai-bin WANG Zhi-zhen WANG Long LI Zhao-ping LI Er-xiao  
作者单位:LI Hai-bin(Department of Mechanics and Engineering Science, Peking University,Beijing 100871, P. R. China;P. O. Box 1303-15, Beijing 100073, P. R. China)
-Q@9[T F c J-W9d_0WANG Zhi-zhen(Department of Applied Mathematics, Shanghai Normal University,Shanghai 200234, P. R. China)水利论文/f.|/GuIx
WANG Long(Department of Mechanics and Engineering Science, Peking University,Beijing 100871, P. R. China)
5o#ml u.~s0LI Zhao-ping(P. O. Box 1303-15, Beijing 100073, P. R. China)水利论文)I{ W`;j!a-T2E
LI Er-xiao(P. O. Box 53-601, Lanzhou 730070, P. R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2006 27(2) 
分类号:O175.13 TP273 
关键词:polynomial matrix   robust D-stability   Linear matrix inequalities   parametric uncertainty  
机标关键词:polynomial matrixlinear matrix inequalitiesparametric uncertaintiesfeedback system 
基金项目:Post-Doctoral Science Foundation of China 
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