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Chaos synchronization in a class of chaotic systems using Kalman filter and feedback linearization methods

Salarieh, H ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1115/esda2006-95214
  3. Publisher: American Society of Mechanical Engineers , 2006
  4. Abstract:
  5. In this paper a combination of Kalman filter and feedback linearization methods is used to present a controller-identifier system for synchronizing two different chaotic systems. The drive system has some unknown parameters which are supposed to have linear form within its dynamic equation. An identifier based on Kalman filter approach is designed to estimate the unknown parameters of the drive system, and simultaneously a feedback linearizing controller is used to synchronize the chaotic behavior of the response system with the drive chaotic system. The method proposed in this paper is applied to the Lure' and the Genesio dynamic systems as the drive and response chaotic systems. The results show the high performance of the method to identify and synchronize two different chaotic systems with unknown parameters and in presence of noise. Copyright © 2006 by ASME
  6. Keywords:
  7. Feedback control ; Kalman filtering ; Linear equations ; Linearization ; Parameter estimation ; Chaos synchronization ; Dynamic equation ; Feedback linearization methods ; Feedback linearizing controller ; Chaos theory
  8. Source: 8th Biennial ASME Conference on Engineering Systems Design and Analysis, ESDA2006, Torino, 4 July 2006 through 7 July 2006 ; Volume 2006 , 2006 ; 0791837793 (ISBN); 9780791837795 (ISBN)
  9. URL: https://asmedigitalcollection.asme.org/ESDA/proceedings-abstract/ESDA2006/42509/143/317614