A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling

Andrés Marcos; Declan Bates; Ian Postlethwaite

doi:10.1016/j.automatica.2006.12.031

A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling

Andrés Marcos, Declan Bates, Ian Postlethwaite

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

20 Citations (Scopus)

Abstract

In this paper an algorithm that provides an equivalent, but of reduced order, representation for multivariate polynomial matrices is given. It combines ideas from computational symbolic algebra, polynomial/matrix algebraic manipulations and information logic. The algorithm is applied to the problem of finding minimal linear fractional transformation models. Statistical performance analysis of the algorithm reveals that it consistently outperforms currently available algorithms.

Original language	English
Pages (from-to)	1211-1218
Journal	Automatica
Volume	43
Issue number	7
DOIs	https://doi.org/10.1016/j.automatica.2006.12.031
Publication status	Published - 2007

Keywords

symbolic multivariate polynomial matrices

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10.1016/j.automatica.2006.12.031

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AB - In this paper an algorithm that provides an equivalent, but of reduced order, representation for multivariate polynomial matrices is given. It combines ideas from computational symbolic algebra, polynomial/matrix algebraic manipulations and information logic. The algorithm is applied to the problem of finding minimal linear fractional transformation models. Statistical performance analysis of the algorithm reveals that it consistently outperforms currently available algorithms.

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JO - Automatica

JF - Automatica

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A symbolic matrix decomposition algorithm for reduced order linear fractional transformation modelling

Abstract

Keywords

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