Optimizing Continued Fraction Expansion Based IIR Realization of   Fractional Order Differ-Integrators with Genetic Algorithm
  Rational approximation of fractional order (FO) differ-integrators via Continued Fraction Expansion (CFE) is a well known technique. In this paper, the nominal structures of various generating functions are optimized using Genetic Algorithm (GA) to minimize the deviation in magnitude and phase response between the original FO element and the rationalized discrete time filter in Infinite Impulse Response (IIR) structure. The optimized filter based realizations show better approximation of the FO elements in comparison with the existing methods and is demonstrated by the frequency response of the IIR filters. 
Saptarshi Das, Basudev Majumder, Anindya Pakhira, Indranil Pan,   Shantanu Das, and Amitava Gupta
cs.SY