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Fuzzy adaptive sliding mode control of chaos

Arjmand, M. T ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2006-15655
  3. Publisher: American Society of Mechanical Engineers (ASME) , 2006
  4. Abstract:
  5. A simple and systematic approach is developed for modeling and adaptive control of an unknown (or uncertain) chaotic system of the form x(n) = f(X) + g(X)u, using only input-output data obtained from the underlying dynamic system. Two different fuzzy identification methods, i.e. least-squares and gradient descent, are used for identifying the unknown functions f (X) and g (X). Based on the fuzzy modeling, an adaptive controller is devised, which works through sliding mode method. The presented procedure is illustrated by using the chaotic system-modified Duffing's equation as an example, on which simulation results demonstrate the effectiveness of the proposed adaptive algorithm. Copyright © 2006 by ASME
  6. Keywords:
  7. Adaptive control systems ; Algorithms ; Computer simulation ; Fuzzy systems ; Least squares approximations ; Sliding mode control ; Duffing's equation ; Fuzzy identification methods ; Fuzzy modeling ; Gradient descent ; Chaotic systems
  8. Source: 2006 ASME International Mechanical Engineering Congress and Exposition, IMECE2006, Chicago, IL, 5 November 2006 through 10 November 2006 ; 2006 ; 10716947 (ISSN); 0791837904 (ISBN); 9780791837900 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/9349534