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Stabilizing periodic orbits of chaotic systems using adaptive critic-based neurofuzzy controller

Honarvar, M ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1115/DETC2009-86956
  3. Publisher: 2010
  4. Abstract:
  5. In this paper design and evaluation of an adaptive critic- based neurofuzzy controller for the stabilizing periodic orbits of chaotic systems has been presented in detail. The main superiority of the proposed controller over previous analogous fuzzy logic controller design approaches, e.g., genetic fuzzy logic controller, is its online tuning characteristic and remarkable reduced amount of computations used for parameter adaptation, which makes it desirable for real time applications. Considering the simplicity of this controller and its independence from the system model, this control method has the advantage of online learning and control, and can be applied to a large variety of systems. The proposed adaptive scheme is used for stabilizing the 2- JZ and 4- JZ periodic orbits of a Duffing system to investigate numerically the effectiveness of the method. Also the robustness of the proposed controller was examined using input noise and parameter uncertainty in the system model. Simulation results show that the proposed algorithm can be successfully used for chaos suppression when there is not any crisp mathematical model of the dynamical system
  6. Keywords:
  7. Adaptive critic ; Adaptive scheme ; Chaos suppression ; Control methods ; Duffing system ; Fuzzy logic controller design ; Genetic fuzzy logic controllers ; Input noise ; Neuro-fuzzy controller ; Online learning ; Online tuning ; Parameter adaptation ; Parameter uncertainty ; Periodic orbits ; Real-time application ; Simulation result ; System models ; Adaptive control systems ; Algorithms ; Chaotic systems ; Computer simulation ; Design ; Fuzzy control ; Fuzzy logic ; Fuzzy systems ; Mathematical models ; Model structures ; Online systems ; Controllers
  8. Source: Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009, 30 August 2009 through 2 September 2009 ; Volume 4, Issue PART C , August–September , 2010 , Pages 1759-1767 ; 9780791849019 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1649849