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Stabilizing periodic orbits of the fractional order chaotic van der pol system

Rahimi, M. A ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2010-40165
  3. Publisher: 2010
  4. Abstract:
  5. In tins paper, stabilizing the unstable periodic orbits (UPO) in a chaotic fractional order system called Van der Pol is studied. Firstly, a technique for finding unstable periodic orbit in chaotic fractional order systems is stated. Then by applying tins technique to the van der Pol system, unstable periodic orbit of system is found. After that, a method is presented for stabilization of the discovered UPO based on theories stability of the linear integer order and fractional order systems. Finally, a linear feedback controller was applied to the system and simulation is done for demonstration of controller performance
  6. Keywords:
  7. Chaotic fractional-order systems ; Controller performance ; Fractional order ; Fractional-order systems ; Linear feedback controllers ; Periodic orbits ; Unstable periodic orbits ; Van Der Pol systems ; Algebra ; Mechanical engineering ; Stabilization ; Tinning ; Chaotic systems
  8. Source: ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), 12 November 2010 through 18 November 2010, Vancouver, BC ; Volume 8, Issue PARTS A AND B , 2010 , Pages 175-183 ; 9780791844458 (ISBN)
  9. URL: http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1616593