HARDWARE IMPLEMENTATION OF FRACTIONAL-ORDER SYSTEMS AS INFINITE IMPULSE RESPONSE FILTERS

In this paper we approximate fractional-order systems as IIR filters using field programmable gate arrays (FPGAs). The resulting implementations are low cost and high speed, with guaranteed stability. Our method implements the IIR approximation as a parallel combination of first-order sections, and quantizes each filter coefficient in fixed-point according to its own independent contribution to the frequency response. This makes it possible to explore the tradeoffs between system quality and hardware cost easily, with a short design time.