Global linearization of non-linear state equations

Issue title: Special Volume: Proceedings of the eleventh International Symposium on Applied Electromagnetics and Mechanics ISEM-Versailles ISEM 03

Article type: Research Article

Authors: Jordan, Andrzej J.^{a; *} | Nowacki, Jerzy P.^a

Affiliations: [a] Polish-Japanese Institute of Information Technology, ul. Koszykowa 86, 02-008 Warsaw, Poland. E-mail: [email protected]

Correspondence: [*] Corresponding author: Andrzej J. Jordan, Bialystok Technical University, ul. Wiejska 45D, 15-351 Bialystok, Poland

Abstract: The global linearization method is used to solve multivariable non-linear state equations. This method makes use of a simple and invertible change of coordinates based on global diffeomorphism. A full agreement of the solutions of the linear and non-linear models was obtained. Two examples of practical application of this method have been presented: the first – a non-linear model of a DC drive system, and the second – an electrical circuit with a non-linear diode.

Keywords: state equation, global linearization, iterative method, global diffeomorphism

DOI: 10.3233/JAE-2004-642

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 637-642, 2004