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

fYear

2011

fDate

20-22 July 2011

Firstpage

1

Lastpage

6

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Process Automation, Control and Computing (PACC), 2011 International Conference on

Conference_Location

Coimbatore

Print_ISBN

978-1-61284-765-8

Type

conf

DOI

10.1109/PACC.2011.5979043

Filename

5979043