Design of Fractional Order Digital Differentiators and Integrators Using Indirect Discretization

Krishna, B., and Reddy, K.. "Design of Fractional Order Digital Differentiators and Integrators Using Indirect Discretization." Fractional Calculus and Applied Analysis 11.2 (2008): 143-151. <http://eudml.org/doc/11336>.

@article{Krishna2008,
abstract = {Mathematics Subject Classification: 26A33, 93B51, 93C95In this paper, design of fractional order digital differentiators and integrators using indirect discretization is presented. The proposed approach is based on using continued fraction expansion to find the rational approximation of the fractional order operator, s^α. The rational approximation thus obtained is discretized by using s to z transforms. The proposed approach is tested for differentiators and integrators of orders 1/4 and 1/2. The results obtained compare favorably with the ideal characteristics.},
author = {Krishna, B., Reddy, K.},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Fractional Order Integrator; Fractional Order Differentiator; Continued Fraction Expansion; Al-Alaoui Transform},
language = {eng},
number = {2},
pages = {143-151},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Design of Fractional Order Digital Differentiators and Integrators Using Indirect Discretization},
url = {http://eudml.org/doc/11336},
volume = {11},
year = {2008},
}

TY - JOUR
AU - Krishna, B.
AU - Reddy, K.
TI - Design of Fractional Order Digital Differentiators and Integrators Using Indirect Discretization
JO - Fractional Calculus and Applied Analysis
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 11
IS - 2
SP - 143
EP - 151
AB - Mathematics Subject Classification: 26A33, 93B51, 93C95In this paper, design of fractional order digital differentiators and integrators using indirect discretization is presented. The proposed approach is based on using continued fraction expansion to find the rational approximation of the fractional order operator, s^α. The rational approximation thus obtained is discretized by using s to z transforms. The proposed approach is tested for differentiators and integrators of orders 1/4 and 1/2. The results obtained compare favorably with the ideal characteristics.
LA - eng
KW - Fractional Order Integrator; Fractional Order Differentiator; Continued Fraction Expansion; Al-Alaoui Transform
UR - http://eudml.org/doc/11336
ER -