Design of Fractional Order Digital Differentiator Using Inverse Multiquadric Radial Basis Function

Nitin Kumar; Tarun Rawat

Advances in Computer Science and Information Technology. Computer Science and Engineering. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part II

Research Article

Design of Fractional Order Digital Differentiator Using Inverse Multiquadric Radial Basis Function

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@INPROCEEDINGS{10.1007/978-3-642-27308-7_4,
    author={Nitin Kumar and Tarun Rawat},
    title={Design of Fractional Order Digital Differentiator Using Inverse Multiquadric Radial Basis Function},
    proceedings={Advances in Computer Science and Information Technology. Computer Science and Engineering. Second International Conference, CCSIT 2012, Bangalore, India, January 2-4, 2012. Proceedings, Part II},
    proceedings_a={CCSIT PATR II},
    year={2012},
    month={11},
    keywords={Digital differentiator fractional derivative non-integer delay radial basis function},
    doi={10.1007/978-3-642-27308-7_4}
}

Nitin Kumar
Tarun Rawat
Year: 2012
Design of Fractional Order Digital Differentiator Using Inverse Multiquadric Radial Basis Function
CCSIT PATR II
Springer
DOI: 10.1007/978-3-642-27308-7_4

Nitin Kumar¹^,*, Tarun Rawat¹^,*

1: Netaji Subhas Institute of Technology

*Contact email: nitinkumar2007@yahoo.co.in, tarundsp@gmail.com

Abstract

In this paper, a fractional order digital differentiator is designed by using Inverse multiquadric radial basis function (RBF). First, the RBF interpolation approach is described. Then, the non-integer delay sample estimation is derived by using RBF approach. Next, the Grünwald-Letnikov derivative and non-integer delay sample delay are applied to obtain the transfer function of the proposed method i.e. fractional order digital differentiator. The design accuracy of the proposed method is better then the conventional methods like examples Time domain least squares method, Fractional sample delay method and Frequency response approximation method.

Keywords: Digital differentiator fractional derivative non-integer delay radial basis function

Published: 2012-11-09

: http://dx.doi.org/10.1007/978-3-642-27308-7_4