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      On the stability of delayed feedback controllers

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      Author(s)
      Morgül, Ö.
      Date
      2003
      Source Title
      Physics Letters, Section A: General, Atomic and Solid State Physics
      Print ISSN
      0375-9601
      Publisher
      Elsevier
      Volume
      314
      Issue
      4
      Pages
      278 - 285
      Language
      English
      Type
      Article
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      Abstract
      We consider the stability of delayed feedback control (DFC) scheme for one-dimensional discrete time systems. We first construct a map whose fixed points correspond to the periodic orbits of the uncontrolled system. Then the stability of the DFC is analyzed as the stability of the corresponding equilibrium point of the constructed map. For each periodic orbit, we construct a characteristic polynomial whose Schur stability corresponds to the stability of DFC. By using Schur-Cohn criterion, we can find bounds on the gain of DFC to ensure stability. © 2003 Elsevier B.V. All rights reserved.
      Keywords
      Chaos control
      Chaotic systems
      Delayed feedback
      Pyragas controller
      article
      chaos control
      chaotic dynamics
      delayed feedback control
      equilibrium
      feedback system
      mathematical analysis
      pyragas controller
      simulation
      time
      Permalink
      http://hdl.handle.net/11693/24448
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/S0375-9601(03)00866-1
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      • Department of Electrical and Electronics Engineering 3702
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