Optimizing Continued Fraction Expansion Based IIR Realization of Fractional Order Differ-Integrators with Genetic Algorithm
Institute of Electrical and Electronics Engineers (IEEE)
© 2011 IEEE
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.
This work has been supported by the Department of Science & Technology (DST), Govt. of India under the PURSE programme.
This is the author accepted manuscript. The final version is available from IEEE via the DOI in this record.
2011 International Conference on Process Automation, Control and Computing (PACC), Coimbatore, India, 20-22 July 2011, article 5979043