Fractional-order Difference Basis Functions - a new modeling concept for dynamical systems

This paper presents a new concept for modeling of linear fractional-order dynamical systems. The proposed model is based on specific basis functions, the so called Fractional-order Difference Basis Functions, which are a generalization of the delayed filters used in the FIR model. In the paper, we show elementary properties of the model and present a method for model implementation. Simulation example shows that the model can be effective in modeling of a class of dynamical systems.