NDLI: Semidefinite Hankel-Type Model Reduction Based on Frequency Response Matching

Content Provider	IEEE Xplore Digital Library
Author	Sootla, A.
Copyright Year	1963
Abstract	This technical note is dedicated to model order reduction of linear time-invariant systems. The main contribution of this technical note is the derivation of two scalable stability-preserving model reduction algorithms. Both algorithms constitute a development of a recently proposed model reduction method. The algorithms perform a curve fitting procedure using frequency response samples of a model and semidefinite programming methods. Computation of these samples can be done efficiently even for large scale models. Both algorithms are obtained from a reformulation of the model reduction problem. One proposes a semidefinite relaxation, while the other is an iterative semidefinite approach. The relaxation approach is similar to Hankel model reduction, which is a well-known and established method in the control literature. Due to this resemblance, the accuracy of approximation is also similar to the one of Hankel model reduction. An appealing quality of the proposed algorithms is the ability to easily perform extensions, e.g., introduce frequency-weighting, positive-real and bounded-real constraints.
Sponsorship	IEEE Control Systems Society
Starting Page	1057
Ending Page	1062
Page Count	6
File Size	957701
File Format	PDF
ISSN	00189286
Volume Number	58
Issue Number	4
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-01-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Reduced order systems Approximation algorithms Approximation methods Computational modeling Iterative methods Optimization Frequency response semidefinite programming Model/controller reduction optimization reduced order modeling
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Computer Science Applications Electrical and Electronic Engineering

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