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Stability preservation analysis in direct discretization of fractional order transfer functions

Siami, M ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1016/j.sigpro.2010.06.009
  3. Abstract:
  4. In this paper, a class of the direct methods for discretization of fractional order transfer functions is studied in the sense of stability preservation. The stability boundary curve is exactly determined for these discretization methods. Having this boundary helps us to recognize whether the original system and its discretized model are the same in the sense of stability. Finally, some illustrative examples are presented to evaluate achievements of the paper
  5. Keywords:
  6. Discretization ; Fractional order system ; Stability ; Approximation ; Direct method ; Discretization method ; Discretizations ; Discretized models ; Fractional order transfer function ; Fractional-order systems ; Illustrative examples ; Original systems ; Stability boundaries ; Algebra ; Discrete event simulation ; Transfer functions ; System stability
  7. Source: Signal Processing ; Volume 91, Issue 3 , 2011 , Pages 508-512 ; 01651684 (ISSN)
  8. URL: http://www.sciencedirect.com/science/article/pii/S0165168410002562