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

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

Received date: 2003-11-21

  Revised date: 2005-11-10

  Online published: 2006-02-18

Abstract

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.  

Cite this article

LI Hai-bin;WANG Zhi-zhen;WANG Long;LI Zhao-ping;LI Er-xiao . FREQUENCY DOMAIN CRITERIA FOR ROBUST D-STABILITY OF MIMO SYSTEMS BASED ON LMI METHOD[J]. Applied Mathematics and Mechanics, 2006 , 27(2) : 207 -213 . DOI: 10.1007/s10483-006-0208-y

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