Discretization of Complex-order Algorithms for Control Applications

DOI10.1177/1077546307087445zbMath1229.65231OpenAlexW2092749178MaRDI QIDQ3111008

Ramiro S. Barbosa, Manuel F. Silva, José António Tenreiro Machado

Publication date: 17 January 2012

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10400.22/4590

zbMATH Keywords

discretizationfractional calculusfractional-order controlcomplex-order differintegralsconjugated-order differintegrals

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33)

Related Items (4)

On the physical meaning of time-domain constitutive models with complex parameters ⋮ Optimal approximation of analog PID controllers of complex fractional-order ⋮ Optimal controllers with complex order derivatives ⋮ Complex-order particle swarm optimization

Cites Work

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• Time domain design of fractional differintegrators using least-squares
• Complex-order dynamics in hexapod locomotion
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional Derivatives of Imaginary Order

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