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Analysis and comparison of numerical algorithms for fractional calculus
CAO Jiao;LI DaZi
Journal of Beijing University of Chemical Technology ›› 2007, Vol. 34 ›› Issue (s2) : 122-125.
PDF(949 KB)
PDF(949 KB)
Analysis and comparison of numerical algorithms for fractional calculus
Two direct discretization methods for fractional order differentiation and integration are introduced, namely direct recursive discretization of the Tustin operator and direct discretization by continued fraction expansion of the Tustin transformation. Both approximate discretization methods afford stable minimum phase systems. Comparison of frequency domains demonstrates that the continued fraction expansion method is better than the recursive Tustin method and the reasons for this are discussed.
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