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Design and Analysis of Internal Model Principle Based Linear Time Invariant Fractional Order Regulators

Niroomand, Mahdi | 2012

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 43772 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Haeri, Mohammad
  7. Abstract:
  8. In this thesis, two essential issues are investigated. The first issue is, when a general incommensurate fractional-order controller would be a stabilizing controller for an incommensurate fractional-order system in the standard feedback structure, and how one can possibly construct such closed-loop stabilizing controller. The second issue is to synthesize internal model principle based fractional-order controllers. These controllers consist of two main parts: the internal model corresponding to exogenous signals and an arbitrary fractional order controller. The main objective in the internal model principle based controllers, is to synthesize the second part of the controller such that the closed-loop system becomes optimal with respect to some performance indices, robust, simple, and insensitive to implementation errors. The main contributions of this thesis, are two synthesizing algorithms. The first algorithm is for constructing a closed-loop stabilizing controller with a general incommensurate fractional-order and the second is a synthesizing algorithm for the internal model principle based controllers that achieves the mentioned desired specifications
  9. Keywords:
  10. Fractional Order System ; Robust Control ; Optimal Control ; Fractional Order Controller ; Internal Model Principle ; Controller Fragility

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