Title :
Rational approximation of fractional operator — A comparative study
Author :
Khanra, Munmun ; Pal, Jayanta ; Biswas, Karabi
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India
fDate :
Nov. 29 2010-Dec. 1 2010
Abstract :
A comparative study of some existing methods for rational approximation of fractional operator (fractional Laplace operator) is presented. The various methods along with their advantages and limitations are described in this paper. Simulation results are shown for different orders of the fractional operator.
Keywords :
approximation theory; differential equations; function approximation; rational functions; fractional Laplace operator; rational approximation; Approximation algorithms; Frequency response; Gain; Linear approximation; Sun; Transfer functions; Carlson approximation; Matsuda approximation; Oustaloup approximation; fractional operator; fractional order transfer function; rational approximation; squared magnitude function;
Conference_Titel :
Power, Control and Embedded Systems (ICPCES), 2010 International Conference on
Conference_Location :
Allahabad
Print_ISBN :
978-1-4244-8543-7
DOI :
10.1109/ICPCES.2010.5698677