Approximating fractional derivatives in the perspective of system control | Zendy

J. A. Tenreiro Machado | Zendy; Alexandra M. Galhano | Zendy

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Approximating fractional derivatives in the perspective of system control

Author(s) -

J. A. Tenreiro Machado,

Alexandra M. Galhano

Publication year - 2008

Publication title -

nonlinear dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.252

H-Index - 118

eISSN - 1573-269X

pISSN - 0924-090X

DOI - 10.1007/s11071-008-9409-4

Subject(s) - fractional calculus , perspective (graphical) , calculus (dental) , nonlinear system , mathematics , control (management) , differential (mechanical device) , time scale calculus , control theory (sociology) , differential calculus , computer science , algebra over a field , multivariable calculus , mathematical analysis , control engineering , pure mathematics , artificial intelligence , engineering , aerospace engineering , medicine , physics , geometry , dentistry , quantum mechanics

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

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