This letter deals with the discrete approximation of the fractional-order differentiator s^0.5. The proposed approach is based on the efficient continued fraction approximation of the operator. The discrete differentiator is expressed as a z-transfer function, whose coefficients are given in closed form in terms of the sampling time and an approximation parameter. Simulation experiments show the efficiency of the approximation with low-order z-transfer functions.
A Rational Discrete Approximation to the Operator s^0.5
MAIONE, Guido
2006-01-01
Abstract
This letter deals with the discrete approximation of the fractional-order differentiator s^0.5. The proposed approach is based on the efficient continued fraction approximation of the operator. The discrete differentiator is expressed as a z-transfer function, whose coefficients are given in closed form in terms of the sampling time and an approximation parameter. Simulation experiments show the efficiency of the approximation with low-order z-transfer functions.File in questo prodotto:
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