DocumentCode
1368861
Title
Multivariable Optimization-Based Model Reduction
Author
Sootla, Aivar ; Rantzer, Anders ; Kotsalis, Georgios
Author_Institution
Autom. Control Dept., Lund Univ., Lund, Sweden
Volume
54
Issue
10
fYear
2009
Firstpage
2477
Lastpage
2480
Abstract
In this technical note we introduce a multivariable extension of a recently proposed model reduction algorithm for linear time-invariant systems. Reduced models are found by solving a convex optimization problem with linear matrix inequality constraints given a state space model or frequency samples of a model. In order to illustrate the method we apply it to a large-scale model of a deformable mirror.
Keywords
convex programming; linear matrix inequalities; linear systems; multivariable systems; reduced order systems; convex optimization problem; linear matrix inequality constraints; linear time-invariant systems; model reduction algorithm; multivariable optimization; Computational efficiency; Constraint optimization; Deformable models; Frequency; Large-scale systems; MIMO; Mirrors; Reduced order systems; State-space methods; Transfer functions; Multi-input-multi-output (MIMO); single-input-single-output (SISO);
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2009.2029402
Filename
5238525
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