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     Research Journal of Applied Sciences, Engineering and Technology


Stabilizations of Strange Attractors by Feedback Linearization

1T. Shaqarin, 1N. Alshabatat and 2B.R. Noack
1Department of Mechanical Engineering, College of Engineering, Tafila Technical University, Tafila 66110, Jordan
2D
Research Journal of Applied Sciences, Engineering and Technology  2014  1:43-47
http://dx.doi.org/10.19026/rjaset.8.938  |  © The Author(s) 2014
Received: January 31, 2014  |  Accepted: February 15, 2014  |  Published: July 05, 2014

Abstract

This study deals with the control of the Lorenz, Chen and Lu chaotic system. Feedback linearization was successfully implemented on these chaotic systems. Feedback linearization was successful to transform the three attractor systems to a general system that simplify the linear control analysis. Hence, a linear controller is designed for the feedback linearized general system. Furthermore, some numerical simulations were carried out for the closed loop systems. These simulations show that the developed controller design method is effective in stabilizing and regulating the response.

Keywords:

Chen attractor, feedback linearization, Lorenz attractor , Lu attractor , nonlinear control,


References

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Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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