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Identification and adaptive control of the uncertain lorenz system

Pishkenari, H. N ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1115/IMECE2005-80393
  3. Publisher: 2005
  4. Abstract:
  5. In this paper an identification method which can estimate the unknown parameters of a general nonlinear system based on three techniques (gradient, least-squares and rapid identification) has been developed. The stability of the proposed schemes has been shown using the Lyapunov stability theorem. The properties of each identification technique have been discussed briefly. Open loop identification of the Lorenz chaotic system is presented to show the effectiveness of the proposed approach. To illustrate the efficiency of the identification method for control purposes, it has been applied for controlling the well-known Lorenz system. By exploiting the property of the system a novel singularity-free controller is proposed. The stability of controller has been shown by a Lyapunov function. The designed controller coupled with the proposed identification technique can stabilize the uncertain Lorenz system. The effectiveness of the approach has been shown through simulation. Copyright © 2005 by ASME
  6. Keywords:
  7. Lorenz chaotic system ; Lyapunov stability theorem ; Uncertain Lorenz system ; Chaos theory ; Control equipment ; Identification (control systems) ; Nonlinear control systems ; System stability ; Adaptive control systems
  8. Source: 2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005, Orlando, FL, 5 November 2005 through 11 November 2005 ; Volume 74 DSC, Issue 2 PART B , 2005 , Pages 1105-1111 ; 0791842169 (ISBN); 9780791842164 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/IMECE/proceedings-abstract/IMECE2005/42169/1105/311814