A new algorithm for the minimal balanced realization of a transfer function matrix

Fang Bo Yeh; Ciann Dong Yang

doi:10.1016/0167-6911(87)90005-3

A new algorithm for the minimal balanced realization of a transfer function matrix

Fang Bo Yeh, Ciann Dong Yang

Department of Aeronautics and Astronautics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

A new algorithm is proposed here to obtain a minimal balanced realization directly from the transfer function matrix (TFM). This method which employs the singular-value decomposition (SVD) of an infinite block-Hankel matrix requires neither an initial minimal realization nor the solution of a Lyapunov matrix equation. The formulation is solely in terms of the coefficients of the transfer function matrix.

Original language	English
Pages (from-to)	25-31
Number of pages	7
Journal	Systems and Control Letters
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(87)90005-3
Publication status	Published - 1987 Jun

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/0167-6911(87)90005-3

Cite this

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abstract = "A new algorithm is proposed here to obtain a minimal balanced realization directly from the transfer function matrix (TFM). This method which employs the singular-value decomposition (SVD) of an infinite block-Hankel matrix requires neither an initial minimal realization nor the solution of a Lyapunov matrix equation. The formulation is solely in terms of the coefficients of the transfer function matrix.",

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A new algorithm for the minimal balanced realization of a transfer function matrix

Abstract

All Science Journal Classification (ASJC) codes

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