Title :
Optimizing Continued Fraction Expansion Based IIR Realization of Fractional Order Differ-Integrators with Genetic Algorithm
Author :
Das, Saptarshi ; Majumder, Basudev ; Pakhira, Anindya ; Pan, Indranil ; Das, Shantanu ; Gupta, Amitava
Author_Institution :
Sch. of Nucl. Studies & Applic., Jadavpur Univ., Kolkata, India
Abstract :
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.
Keywords :
IIR filters; approximation theory; genetic algorithms; IIR filter; continued fraction expansion; discrete time filter; fractional order differ-integrator; genetic algorithm; infinite impulse response structure; Accuracy; Approximation methods; Genetic algorithms; IIR filters; MATLAB; Optimization; Polynomials;
Conference_Titel :
Process Automation, Control and Computing (PACC), 2011 International Conference on
Conference_Location :
Coimbatore
Print_ISBN :
978-1-61284-765-8
DOI :
10.1109/PACC.2011.5979043
