New method of fractional order integrator analog modeling for orders 0.5 and 0.25

D Sierociuk, A Dzielinski - … Conference on Methods & Models in …, 2011 - ieeexplore.ieee.org
2011 16th International Conference on Methods & Models in …, 2011ieeexplore.ieee.org
In the paper a novel method of analog modeling of fractional order integrators is presented.
In particular, two special cases are discussed, ie integrators of order α= 0.25, and α= 0.5.
The method proposed is based on the domino ladder approximation of irrational transfer
function. It allows to obtain an analog model using only electric elements like resistors and
capacitors of standard produced values.
In the paper a novel method of analog modeling of fractional order integrators is presented. In particular, two special cases are discussed, i.e. integrators of order α = 0.25, and α = 0.5. The method proposed is based on the domino ladder approximation of irrational transfer function. It allows to obtain an analog model using only electric elements like resistors and capacitors of standard produced values.
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