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Stability preservation analysis for frequency-based methods in numerical simulation of fractional order systems

Tavazoei, M. S ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1137/080715949
  3. Publisher: 2008
  4. Abstract:
  5. In this paper, the frequency domain-based numerical methods for simulation of fractional order systems are studied in the sense of stability preservation. First, the stability boundary curve is exactly determined for those methods. Then, this boundary is analyzed and compared with an accurate (ideal) boundary in different frequency ranges. Also, the critical regions in which the stability does not preserve are determined. Finally, the analytical achievements are confirmed via some numerical illustrations. © 2008 Society for Industrial and Applied Mathematics
  6. Keywords:
  7. Fractional operators ; Fractional order system ; Fractional-order systems ; Frequency domain-based numerical method ; Stability boundaries ; Algebra ; Computer simulation ; Frequency domain analysis ; Number theory ; System stability ; Torque control ; Convergence of numerical methods
  8. Source: SIAM Journal on Numerical Analysis ; Volume 47, Issue 1 , 2008 , Pages 321-338 ; 00361429 (ISSN)
  9. URL: https://epubs.siam.org/doi/10.1137/080715949?mobileUi=0