Application of Input–State of the System Transformation for Linearization of Selected Electrical Circuits

Andrzej Zawadzki; Sebastian Różowicz

doi:10.1515/jee-2016-0028

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Application of Input–State of the System Transformation for Linearization of Selected Electrical Circuits

Journal of Electrical Engineering

Volume 67 (2016): Issue 3 (May 2016)

By: Andrzej Zawadzki and Sebastian Różowicz

Open Access

|Jun 2016

Abstract

The paper presents a transformation of nonlinear electric circuit into linear one through changing coordinates (local diffeomorphism) with the use of closed feedback loop. The necessary conditions that must be fulfilled by nonlinear system to enable carrying out linearizing procedures are presented. Numerical solutions of state equations for the nonlinear system and equivalent linearized system are included.

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Articles in this issue

DOI: https://doi.org/10.1515/jee-2016-0028 | Journal eISSN: 1339-309X | Journal ISSN: 1335-3632

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Language: English

Page range: 199 - 205

Submitted on: Oct 10, 2015

Published on: Jun 28, 2016

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 6 issues per year

Keywords:

nonlinear electrical circuits,

linearization,

feedback linearization,

local diffeomorphism,

Lie algebras,

differential geometric approach

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2016 Andrzej Zawadzki, Sebastian Różowicz, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 67 (2016): Issue 3 (May 2016)