A new generalization of delayed feedback control
Date
2009
Authors
Morgül, Ö.
Editor(s)
Advisor
Supervisor
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Instructor
Source Title
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Print ISSN
0218-1274
Electronic ISSN
1793-6551
Publisher
World Scientific Publishing Co. Pte. Ltd.
Volume
19
Issue
1
Pages
365 - 377
Language
English
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Abstract
In this paper, we consider the stabilization problem of unstable periodic orbits of one-dimensional discrete time chaotic systems. We propose a novel generalization of the classical delayed feedback law and present some stability results. These results show that for period 1 all hyperbolic periodic orbits can be stabilized by the proposed method; for higher order periods the proposed scheme possesses some inherent limitations. However, some more improvement over the classical delayed feedback scheme can be achieved with the proposed scheme. The stability proofs also give the possible feedback gains which achieve stabilization. We will also present some simulation results.