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Ouvrages Année : 2006

Representation with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions

Thomas Hélie
Denis Matignon
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Résumé

Fractional differential systems are infinite-dimensional systems which are difficult to study and simulate: they can be represented with poles and cuts. This representation applies to a wider class of irrational transfer functions, and is most useful for signal processing purposes, such as frequency-domain and time-domain simulations: the approximations in low dimension which give the most striking numerical results are obtained through an optimization procedure, the parameters of which are meaningful from a signal point of view. Ten such systems of increasing complexity are thoroughly investigated.

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Dates et versions

hal-01106202 , version 1 (20-01-2015)

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  • HAL Id : hal-01106202 , version 1

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Thomas Hélie, Denis Matignon. Representation with poles and cuts for the time-domain simulation of fractional systems and irrational transfer functions. pp.2516-2528, 2006. ⟨hal-01106202⟩
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