Transient identification using a fractional derivative model

Characterizations, control or analyses of dynamic systems often demand low order models in order to be feasible. Dynamic system studies that involve phenomena such as in-elasticity or energy dissipation yields reasonably low order models when fractional derivatives is used. Properties of impulse responses from such models are presented. The results show that both frequency and envelope changes are functions of the derivative order and can thus be used in a function approximation. A suboptimal parameter estimator for such model is presented.