A Simple Algorithm on Minimal Balanced Realization for Transfer Function Matrices

Cian Dong Yang; F. B. Yeh

doi:10.1109/9.29432

A Simple Algorithm on Minimal Balanced Realization for Transfer Function Matrices

Cian Dong Yang, F. B. Yeh

Department of Aeronautics and Astronautics

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

8 Citations (Scopus)

Abstract

Given a transfer function matrix, it is shown that the minimal balanced realization of it can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on a close relation between The controllability and the observability gramians and the singular decomposition of the associated infinite block hanklel Matrix.

Original language	English
Pages (from-to)	879-882
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	34
Issue number	8
DOIs	https://doi.org/10.1109/9.29432
Publication status	Published - 1989 Aug

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/9.29432

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abstract = "Given a transfer function matrix, it is shown that the minimal balanced realization of it can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on a close relation between The controllability and the observability gramians and the singular decomposition of the associated infinite block hanklel Matrix.",

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AB - Given a transfer function matrix, it is shown that the minimal balanced realization of it can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on a close relation between The controllability and the observability gramians and the singular decomposition of the associated infinite block hanklel Matrix.

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A Simple Algorithm on Minimal Balanced Realization for Transfer Function Matrices

Abstract

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