<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Faculty of Electrical Engineering, Automatics and Computer Science, Kielce University of Technology, 25-314 Kielce, al. Tysiąclecia Państwa Polskiego 7, Poland

Journal of Electrical Engineering

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

The paper presents a transformation of nonlinear electric circuit into linear one through changing coordinates (local diffeomorphism) with the use of closed...

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

Published Online: Jun 28, 2016

Page range: 199 - 205

Received: Oct 10, 2015

DOI: https://doi.org/10.1515/jee-2016-0028

Keywords
nonlinear electrical circuits, linearization, feedback linearization, local diffeomorphism, Lie algebras, differential geometric approach

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jun 28, 2016

Page range: 199 - 205

Received: Oct 10, 2015

DOI: https://doi.org/10.1515/jee-2016-0028

Keywordsnonlinear electrical circuits, linearization, feedback linearization, local diffeomorphism, Lie algebras, differential geometric approach

© Faculty of Electrical Engineering and Information Technology, Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
nonlinear electrical circuits, linearization, feedback linearization, local diffeomorphism, Lie algebras, differential geometric approach