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Indirect adaptive control of discrete chaotic systems

Salarieh, H ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1016/j.chaos.2006.03.115
  3. Publisher: 2007
  4. Abstract:
  5. In this paper an indirect adaptive control algorithm is proposed to stabilize the fixed points of discrete chaotic systems. It is assumed that the functionality of the chaotic dynamics is known but the system parameters are unknown. This assumption is usually applicable to many chaotic systems, such as the Henon map, logistic and many other nonlinear maps. Using the recursive-least squares technique, the system parameters are identified and based on the feedback linearization method an adaptive controller is designed for stabilizing the fixed points, or unstable periodic orbits of the chaotic maps. The stability of the proposed scheme has been shown and the effectiveness of the control algorithm has been demonstrated through computer simulations. © 2006 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Adaptive algorithms ; Adaptive control systems ; Computer simulation ; Control equipment ; Feedback linearization ; System stability ; Chaotic dynamics ; Nonlinear maps ; Recursive-least squares ; Chaotic systems
  8. Source: Chaos, Solitons and Fractals ; Volume 34, Issue 4 , 2007 , Pages 1188-1201 ; 09600779 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0960077906003535