Model-free chaos control in a chaotic henon-like system using takens embedding theory

Hajiloo, R ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1109/ICCIAutom.2017.8258657
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2018
  4. Abstract:
  5. In this paper, the problem of chaos control in a chaotic Henon-like system without using the governing equations of the system is investigated. It is also assumed that the system has only one measurable state. The time-series of the measurable state is used to stabilize chaos by a three-step method. First, using Takens embedding theory, a delayed phase space is reconstructed preserving the topological characteristics of the system. Then, an appropriate dynamic model is identified to estimate the time-series data in the reconstructed phase space. Finally, the unstable fixed point of the system is stabilized using an appropriate linear delayed feedback controller with controller gains systematically computed. © 2017 IEEE
  6. Keywords:
  7. Chaos ; Delayed phase space ; Time-series ; Chaos theory ; Controllers ; Phase space methods ; Time series ; Delayed feedback ; Governing equations ; Henon-like system ; Linear delayed feedbacks ; Reconstructed phase space ; Time-series data ; Topological characteristics ; Unstable fixed point ; Feedback
  8. Source: 5th International Conference on Control, Instrumentation, and Automation, ICCIA 2017, 21 November 2017 through 23 November 2017 ; Volume 2018-January , 2018 , Pages 80-85 ; 9781538621349 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8258657