The control systems can not be represented by certain
analytical expression typically, so they need to use filters to approximate
realization. A digital realization algorithm of fractional
order system, the optimal Oustaloup digital realization algorithm is proposed. Optimal algorithm is used to find the optimal parameters of filter and achieve high
fitting accuracy of fractional order systems in the frequency bands. The
simulation results show that the algorithm is superior to Oustaloup and
improved algorithm in the amplitude frequency characteristic and phase
frequency characteristics of frequency response.