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Parametric identification of fractional-order systems using a fractional Legendre basis

Ghanbari, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1243/09596518JSCE833
  3. Abstract:
  4. This paper deals with the identification of fractional-order systems through orthogonal rational functions. Fractional systems are characterized by their non-exponential aperiodic multimodes; therefore, fractional orthogonal rational functions provide better approximating models with fewer parameters. In spite of the fact that the Laguerre-based model is simple, it is, to some extent, deficient at high frequencies. Motivated by this objective, the use of a Legendre basis which has progressive pole locations and can be expected to perform better at high frequencies is studied
  5. Keywords:
  6. Fractional-order system ; Identification ; Fractional systems ; Fractional-order systems ; High frequency ; Laguerre ; Legendre ; Legendre function ; Multimodes ; Orthogonal rational functions ; Parametric identification ; Pole location ; Exponential functions ; Function evaluation ; Orthogonal functions ; Rational functions
  7. Source: Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering ; Volume 224, Issue 3 , 2010 , Pages 261-274 ; 09596518 (ISSN)
  8. URL: http://journals.sagepub.com/doi/abs/10.1243/09596518JSCE833