Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems

A. Ghafoor; Jing Wang; Victor Sreeram

doi:10.1109/.2005.1467070

Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems

A. Ghafoor, Jing Wang, Victor Sreeram

Research output: Contribution to journal › Article

4 Citations (Scopus)

Abstract

Frequency weighted model reduction scheme for two-dimensional(2-D) separable denominator discrete time systems is presented. The methodyields the stable reduced order models for stable separable denominator originalsystems. The method is based on one-dimensional (1-D) balanced truncation.It is easily extendable to singular perturbation and optimal Hankel norm basedapproximations. The bound on the approximation error is also derived.

Original language	English
Pages (from-to)	105-119
Journal	International Journal of Information and Systems Sciences
Volume	1
Issue number	2
DOIs	https://doi.org/10.1109/.2005.1467070
Publication status	Published - 2005

Cite this

Ghafoor, A., Wang, J., & Sreeram, V. (2005). Frequency-Weighted Model Reduction Method with Error Bounds for 2-D Separable Denominator Discrete Systems. International Journal of Information and Systems Sciences, 1(2), 105-119. https://doi.org/10.1109/.2005.1467070

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AB - Frequency weighted model reduction scheme for two-dimensional(2-D) separable denominator discrete time systems is presented. The methodyields the stable reduced order models for stable separable denominator originalsystems. The method is based on one-dimensional (1-D) balanced truncation.It is easily extendable to singular perturbation and optimal Hankel norm basedapproximations. The bound on the approximation error is also derived.

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10.1109/.2005.1467070

http://www.math.ualberta.ca/ijiss/