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      • Department of Electrical and Electronics Engineering
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      A new delayed feedback control scheme for discrete time chaotic systems

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      Author
      Morgül, Ömer
      Date
      2009
      Source Title
      Proceedings of the 2nd IFAC Conference on Analysis and Control of Chaotic Systems, CHAOS 2009
      Print ISSN
      1474-6670
      Publisher
      IFAC
      Volume
      42
      Issue
      7
      Pages
      333 - 338
      Language
      English
      Type
      Conference Paper
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      Abstract
      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.
      Keywords
      Chaos control
      Chaotic systems
      Delayed feedback system
      Pyragas controller
      Stability
      Delayed feedback
      Permalink
      http://hdl.handle.net/11693/28659
      Published Version (Please cite this version)
      https://doi.org/10.3182/20090622-3-UK-3004.00062
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      • Department of Electrical and Electronics Engineering 3524
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