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      • Department of Electrical and Electronics Engineering
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      A new generalization of delayed feedback control

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      Author(s)
      Morgül, Ö.
      Date
      2009
      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
      Type
      Article
      Item Usage Stats
      114
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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.
      Keywords
      Chaotic systems
      Chaos control
      Delayed feedback
      Pyragas controller
      Permalink
      http://hdl.handle.net/11693/22871
      Published Version (Please cite this version)
      http://doi.org/10.1142/S0218127409022920
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      • Department of Electrical and Electronics Engineering 3702
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