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

Authors:
Andrés Marcos;Declan G. Bates;Ian Postlethwaite
Affiliations:
Department of Engineering, University of Leicester, University Road, Leicester LE1 7RH, UK;Department of Engineering, University of Leicester, University Road, Leicester LE1 7RH, UK;Department of Engineering, University of Leicester, University Road, Leicester LE1 7RH, UK
Venue:
Automatica (Journal of IFAC)
Year:
2007

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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.