Title: Reducing order of large-scale systems by extended balanced singular perturbation approximation

Authors: Deepak Kumar; J.P. Tiwari; S.K. Nagar

Addresses: Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi 221 005, Uttar Pradesh, India ' Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi 221 005, Uttar Pradesh, India ' Department of Electrical Engineering, Institute of Technology, Banaras Hindu University, Varanasi 221 005, Uttar Pradesh, India

Abstract: In this paper, a simplified approach for model order reduction, based on balanced singular perturbation approximation (BSPA) technique, is explored which is applicable for linear time invariant, minimal/non-minimal continuous/discrete-time systems. An extension of BSPA technique is proposed for order reduction of unstable systems. For reduction of unstable system, a system decomposition algorithm using real Schur transformation is given to decompose the unstable system into stable and unstable parts. Reduced order model of original unstable system is obtained by reducing the decomposed stable part by BSPA technique and directly adding it to decomposed unstable part. The algorithm is illustrated with MATLAB-based computer-simulated results in both time and frequency domains.

Keywords: model order reduction; balanced realisation; BSPA; balanced singular perturbation approximation; HSVs; Hankel singular values; simulation.

DOI: 10.1504/IJAAC.2012.045438

International Journal of Automation and Control, 2012 Vol.6 No.1, pp.21 - 38

Received: 05 Aug 2011
Accepted: 13 Aug 2011
Published online: 31 Oct 2014 *

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