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Rational approximations in the simulation and implementation of fractional-order dynamics: A descriptor system approach

Tavazoei, M. S ; Sharif University of Technology | 2010

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  1. Type of Document: Article
  2. DOI: 10.1016/j.automatica.2009.09.016
  3. Publisher: 2010
  4. Abstract:
  5. This paper deals with issues related to the use of rational approximations in the simulation of fractional-order systems and practical implementations of fractional-order dynamics and controllers. Based on the mathematical formulation of the problem, a descriptor model is found to describe the rational approximating model. This model is analyzed and compared with the original fractional-order system under the aspects which are important in their simulation and implementation. From the results achieved, one can determine in what applications the use of rational approximations would be unproblematic and in what applications it would lead to fallacious results. In order to clarify this point, some examples are presented in which the effects of using rational approximations are investigated
  6. Keywords:
  7. Descriptor system ; Fractional-order controller ; Fractional-order system ; Rational approximation ; Descriptor models ; Descriptor system approach ; Descriptor systems ; Fractional-order controllers ; Fractional-order systems ; Mathematical formulation ; Practical implementation ; Rational approximations ; Controllers ; Describing functions ; Chaos theory
  8. Source: Automatica ; Volume 46, Issue 1 , 2010 , Pages 94-100 ; 00051098 (ISSN)
  9. URL: http://www.sciencedirect.com/science/article/pii/S0005109809004269