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  4. Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization
 
conference paper

Fixed-order Controller Design for State Space Polytopic Systems by Convex Optimization

Karimi, Alireza  
•
Sadabadi, Mahdieh
2013
IFAC Proceedings Volumes
IFAC Joint Conference

In this paper, a new method for fixed-order controller design of systems with polytopic uncertainty in their state space representation is proposed. The approach uses the strictly positive realness (SPRness) of some transfer functions, as a tool to decouple the controller parameters and the Lyapunov matrices and represent the stability conditions and the performance criteria by a set of linear matrix inequalities. The quality of this convex approximation depends on the choice of a central state matrix. It is shown that this central matrix can be computed from a set of initial fixed-order controllers computed for each vertex of the polytope. The stability of the closed-loop polytopic system is guaranteed by a linear parameter dependent Lyapunov matrix. The results are extended to fixed-order H infinity controller design for SISO systems.

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Type
conference paper
DOI
10.3182/20130204-3-FR-2033.00194
Author(s)
Karimi, Alireza  
Sadabadi, Mahdieh
Date Issued

2013

Published in
IFAC Proceedings Volumes
Volume

46

Issue

2

Start page

683

End page

688

Subjects

Robust control

•

Convex optimization

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LA  
Event nameEvent placeEvent date
IFAC Joint Conference

Grenoble, France

February 4-6, 2013

Available on Infoscience
April 20, 2012
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/79534
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