# American Institute of Mathematical Sciences

2016, 6(3): 329-337. doi: 10.3934/naco.2016015

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

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

Received  July 2015 Revised  September 2016 Published  September 2016

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.
Citation: Deepak Kumar, Ahmad Jazlan, Victor Sreeram, Roberto Togneri. Partial fraction expansion based frequency weighted model reduction for discrete-time systems. Numerical Algebra, Control & Optimization, 2016, 6 (3) : 329-337. doi: 10.3934/naco.2016015
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