Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

Numerical Simulations of Fractional Systems: An Overview of Existing Methods and Improvements

An overview of the main simulation methods of fractional systems is presented. Based on Oustaloup’s recursive poles and zeros approximation of a fractional integrator in a frequency band, some improvements are proposed. They take into account boundary effects around outer frequency limits and simpli...

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Veröffentlicht in:Nonlinear dynamics 2004-12, Vol.38 (1-4), p.117-131
Hauptverfasser: Aoun, Mohamed, Malti, Rachid, Levron, Fran ois, Oustaloup, Alain
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Automatic
Computer simulation
Engineering Sciences
Frequencies
Recursive methods
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Beschreibung
Zusammenfassung:An overview of the main simulation methods of fractional systems is presented. Based on Oustaloup’s recursive poles and zeros approximation of a fractional integrator in a frequency band, some improvements are proposed. They take into account boundary effects around outer frequency limits and simplify the synthesis of a rational approximation by eliminating arbitrarily chosen parameters.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-004-3750-z