Abstract-
chaotic behavior of dynamical systems can be utilized in many applications such as secure communication systems, heart arrhythmias, and chemical reactors. In this regard, they are required to be regulated and synchronized with desired references and obtain specific functionality. This paper introduces the application of an input-output controller to synchronize the Chen chaotic system with desired references. Adaptive techniques are applied for gain adaptation and the system is controlled to track arbitrary trajectories. The performance of the control is compared with other types of controllers.
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References
G. Kis, Z. Jako, M. P. Kennedy, G. Kolumban,” Chaotic Communications without Synchronization,” Telecommunications, 1998, 29 March -1 April 1998, Conference publication, No. 451, IEE, 1988.
G. Chen, X. Dong, From Chaos to Order: Methodologies, Perspectives and applications, World Scientific, Singapore 1998.
G. Chen, X. Dong,” Control of Chaos- A Survey,” Proceeding of the 32nd Conference on Decision and Control, San Antonio, Texas- December 1993. pp 469-474.
D. Qi, G. Zhao and Y. Song, “Passive control of Chen chaotic System,” Proceedings of the 5th World Congress on Intelligent Control and Automation, June 15-19, 2004 Hangzhou, P. R. China pp 1284-1286.
X. Liao, G. Chen, H. O. Wang,” On Global Synchronization of Chaotic Systems,” Proceedings of the American Control conference, Anchorage, AK May 8-10, 2002, Page 2255-2259
K. K. D. Young, “Design of Variable structure Model-Following Control Systems,” IEEE Transaction on Automatic Control, AC-23. DEC. 1978, pp 1079-1085.
Y. T. Chan, “Perfect model following with a real model,” Proc. Joint Automat. Contr. Conf. 1973, pp. 287-293
A. Izadian and P. Famouri,”On a New Input-Output Lyapunov Design Adaptive Controller,” IEEE Trans. On Control System Technology, 2007 Submitted
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Izadian, A., Edwards, B., Famouri, P. (2008). A New Method for Synchronization and Control of the Chen Chaotic System. In: Sobh, T., Elleithy, K., Mahmood, A., Karim, M.A. (eds) Novel Algorithms and Techniques In Telecommunications, Automation and Industrial Electronics. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8737-0_2
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DOI: https://doi.org/10.1007/978-1-4020-8737-0_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-8736-3
Online ISBN: 978-1-4020-8737-0
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