Partial fraction expansion based frequency weighted model reduction for discrete-time systems

Deepak  Kumar; Ahmad  Jazlan; Victor  Sreeram; Roberto  Togneri

doi:10.3934/naco.2016015

Article Contents

2016, Volume 6, Issue 3: 329-337. Doi: 10.3934/naco.2016015

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Partial fraction expansion based frequency weighted model reduction for discrete-time systems

1.
Motilal Nehru National Institute of Technology Allahabad, Allahabad, Uttar Pradesh 211004
2.
School of Electrical and Electronics Engineering, University of Western Australia, 35 Stirling Highway, WA 6009

Received: July 2015

Revised: September 2016

Published: August 2016

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Abstract

In this paper, a partial fraction expansion based frequency weighted model reduction algorithm is developed for discrete-time systems. The proposed method is an extension to the method by Sreeram et al. [13] and it yields stable reduced order models with both single and double sided weighting functions. Effectiveness of the proposed algorithm is demonstrated by a numerical example.

Keywords:

Model Reduction,
partial fraction expansion,
weighted approximation error and free parameters.

Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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References

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