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Algebraic fractional order differentiator based on the pseudo-state space representation

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Published/Copyright: December 19, 2019

Abstract

The aim of this paper is to design an algebraic fractional order differentiator for a class of commensurate fractional order linear systems modeled by the pseudo-state space representation. For this purpose, a new algebraic method is introduced by designing an operator which can transform the considered system into a fractional order integral equation by eliminating unknown initial conditions. Based on the obtained equation, the desired fractional derivative is exactly given by a new algebraic formula using a recursive way. Then, a digital fractional order differentiator is introduced in discrete noisy cases. Finally, numerical results are given to illustrate the accuracy and the robustness of the proposed method.

Acknowledgements

This work was supported by the LE STUDIUM RESEARCH PROFESSORSHIP award of Centre Val de Loire region in France.

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Received: 2018-06-15
Revised: 2019-09-30
Published Online: 2019-12-19
Published in Print: 2019-10-25

© 2019 Diogenes Co., Sofia

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