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Lookup NU author(s): Emeritus Professor Ian Postlethwaite
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© 1999 EUCA.An algorithm for the numerical solution of an important algebraic matrix equation in control system design is developed. It is based on ideas arising from probability-1 homotopy methods, for the solution of algebraic systems of equations. The specialisation of this matrix equation into the algebraic Riccati matrix equation for continuous time systems is discussed. The proposed algorithm can be used to solve the optimal projection equations appearing in a reduced order compensator synthesis problem and in an anti-windup compensator synthesis problem. In addition, solutions to second order algebraic matrix polynomial equations are successfully obtained as solutions to special forms of the equation in question. Numerical examples show the advantage of the proposed method over other algorithms.
Author(s): Tsachouridis VA, Postlethwaite I
Publication type: Conference Proceedings (inc. Abstract)
Publication status: Published
Conference Name: European Control Conference (ECC 1999)
Year of Conference: 1999
Pages: 1184-1189
Online publication date: 04/05/2015
Publisher: IEEE
URL: https://doi.org/10.23919/ECC.1999.7099470
DOI: 10.23919/ECC.1999.7099470
Library holdings: Search Newcastle University Library for this item
ISBN: 9783952417355
