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Model Reference Adaptive Control in Fractional Order Systems

Abedini, Mohammad | 2015

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 49913 (08)
  4. University: Sharif University of Technology
  5. Department: Mechanical Engineering
  6. Advisor(s): Meghdari, Ali; Salarieh, Hassan
  7. Abstract:
  8. In this thesis, Model reference adaptive control in fractional order systems was discussed. Various types of this problem can be introduced based on fractional order dynamics in system equations, reference model equations or adaptation laws, which some of them play more important role in real-world applications, also some of them have more complexity in governing mathematical equations and in stability analysis. Fractional order dynamics were recently used in many real-world applications like model reference control, Chaos synchronization and Chaos control, so studying adaptive control in this fields, could be important. Nowadays, Model reference adaptive control was used in many industrial and engineering problems. Using “Fractional order-Model reference adaptive control” leads to introducing new type of problems called “FO-MRAC” in the literature, which draws attention in recent studies. In some problems, fractional order controllers lead to better results because of more degree of freedom in controller design. In many control problems, the plant have unknown or uncertain parameters, so the adaptive controller should be used. Fractional order dynamics can obviously improve the results of adaptation laws and also in model reference control. In this thesis, control strategies using fractional order dynamics were discussed. Also classis methods in model reference adaptive control were studied and then some methods for FO-MRAC were introduced. The focus of this thesis, is on the problems with fractional dynamics in the plant, in the reference model or in the adaptation laws
  9. Keywords:
  10. Model Reference Control ; Adaptive Control ; Fractional Order Calculus Dynamic ; Synchronisation ; Fractional Order System ; Adaptation Laws ; Discertization

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