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Identification and Self Tuning Control of Dynamic Systems using Fractional Orthonormal Laguerre Filters

Naghavi, Naeim | 2013

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 45336 (05)
  4. University: Sharif University of Technology
  5. Department: Electrical Engineering
  6. Advisor(s): Sadati, Nasser
  7. Abstract:
  8. Fractional Order Transfer Functions (FOTF) in comparison to Integer Order Transfer Functions, have higher degree of freedom and as a result they can behave more dynamically. Many methods for approximation of these transfer functions have been developed in recent years allowing to implement and simulate their time-domain and frequency-domain characteristics.
    Fractional order orthonormal Laguerre filters are a generalization of conventional orthonormal Laguerre filters in fractional order transfer functions domain. Orthonormal Laguerre filters have applications in signal processing and system identification. In this thesis, we investigate the application of fractional order laguerre filters in system identification. We will also compare the capability of conventional and franctional order versions of Laguerre filters in system identification. We use fractional Laguerre filters in identification of LTI systems. Moreover we use other types of orthogonal filters (Legendre filters and Chebyshev filters) alongside of fractional Laguerre filters to identify a number of nonlinear systems. In order to show the effectiveness of these filters in system identification, their ability to adapt to abrupt changes in system dynamics will be checked. Next we will use the obtained model of the system to design an self-tuned controller which will satisfy the desired control characteristics. The main goal in designing controller is to persuade the closed loop control system to follow a fractional reference model
  9. Keywords:
  10. System Identification ; Self-Tuning Adaptive Controller (STAC) ; Fractional Order Laguerre Filters ; Orthogonal Filters

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