A Multivariate Polynomial Matrix Order-Reduction Algorithm for Linear Fractional Transformation Modelling

Authors:	Marcos Andres, University of Leicester, United Kingdom Bates Declan G., University of Leicester, United Kingdom Postlethwaite Ian, University of Leicester, United Kingdom
Topic:	2.5 Robust Control
Session:	Fundamentals of Robust Control
Keywords:	linear fractional transformation, polynomial representation, multivariate matrices

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 and from established techniques in graph representation and polynomial/matrix algebraic manipulations. The algorithm is applied to the problem of finding minimal linear fractional transformation models.