A new delayed feedback control scheme for discrete time chaotic systems
IFAC Proceedings Volumes (IFAC-PapersOnline)
333 - 338
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In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We consider both one dimensional and higher dimensional cases. 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 with the proposed method. Although for higher order periods the proposed scheme may possess some limitations, some improvement over the classical delayed feedback scheme still 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.
Delayed feedback system
Delayed feedback control
Unstable periodic orbits
Discrete time control systems
Published Version (Please cite this version)https://doi.org/10.3182/20090622-3-UK-3004.00062
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