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• W171203313 abstract "This paper introduces the continued fraction expansion (CFE) method to to directly discretize the fractional order dierentiators defined in continuous time domain. Unlike the use of conventional generating functions such as Euler operator, Tustin operator etc., a second order IIR (infinite impulse response) type generating function is introduced, which is obtained by the stable inversion of the weighted sum of Simpson integration formula and the trapezoidal integration formula. The distinguishing point of the proposed discretization method lies in an additional tuning knob to compromise the high frequency approximation accuracy. It is also shown that the Tustin operator based discretization is a special case of the proposed scheme. Numerical examples are included for illustrations." @default.
• W171203313 created "2016-06-24" @default.
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• W171203313 date "2003-01-01" @default.
• W171203313 modified "2023-09-27" @default.
• W171203313 title "Using Continued Fraction Expansion to Discretize Fractional Order Derivatives" @default.
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