Nonlinear Dynamics

, Volume 56, Issue 4, pp 401–407 | Cite as

Approximating fractional derivatives in the perspective of system control

Original Paper


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.


Fractional calculus Control Discretization schemes 


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Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Institute of Engineering of PortoDepartment of Electrical EngineeringPortoPortugal

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