A new method for approximating fractional derivatives: application in non-linear control

The theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently. In the area of automatic control some work was developed but the proposed algorithms are still in a research stage. This paper discusses a novel...

Full description

Bibliographic Details
Main Author: Tenreiro Machado, J. A. (author)
Other Authors: Galhano, Alexandra (author)
Format: conferenceObject
Language:eng
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/10400.22/13385
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13385
Description
Summary:The theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently. In the area of automatic control some work was developed but the proposed algorithms are still in a research stage. This paper discusses a novel method, with two degrees of freedom, for the design of fractional discrete-time derivatives. The performance of several approximations of fractional derivatives is investigated in the perspective of nonlinear system control.