2002 |
Malti, Rachid; Cois, Olivier; Aoun, Mohammed; Levron, François; Oustaloup, Alain Energy of fractional order transfer functions Conférence vol. 15, no. 1, 2002, (Cited by: 5; All Open Access, Bronze Open Access). Résumé | Liens | BibTeX | Étiquettes: Automation, Calculations, Differentiation (calculus), Dynamical systems, Fractional calculus, Fractional order differentiations, Fractional order transfer function, Impulse response, Impulse response energy, Lebesgue space, Single mode, Square integrable, Strictly positive real, Transfer functions @conference{Malti2002449b,The objective of the paper is to compute the impulse response energy of a fractional order transfer function having a single mode. The differentiation order n, defined in the sense of Riemann-Liouville, is allowed to be a strictly positive real number. A necessary and sufficient condition is established on n, in order for the impulse response to belong to the Lebesgue space L2[0, ∞[ of square integrable functions on [0, ∞[. Copyright © 2002 IFAC. |
Aoun, Mohamed; Malti, Rachid; Cois, Olivier; Oustaloup, Alain System identification using fractional hammerstein models Conférence vol. 15, no. 1, 2002, (Cited by: 23). Résumé | Liens | BibTeX | Étiquettes: Automation, Continuous time systems, Fractional differentiation, Fractional model, Fractional order, Hammerstein model, Hammerstein-type models, Identification (control systems), Identification method, Linear systems, Non-linear modelling, Nonlinear systems, Riemann-liouville definitions @conference{Aoun2002265b,Identification of continuous-time non-linear systems characterised by fractional order dynamics is studied. The Riemann-Liouville definition of fractional differentiation is used. A new identification method is proposed through the extension of Hammerstein-type models by allowing their linear part to belong to the class of fractional models. Fractional models are compact and so are used here to model complex dynamics with few parameters. Copyright © 2002 IFAC. |
Aoun-Habbache, M.; Aoun, M.; Berthiaux, H.; Mizonov, V. An experimental method and a Markov chain model to describe axial and radial mixing in a hoop mixer Article de journal Dans: Powder Technology, vol. 128, no. 2-3, p. 159 – 167, 2002, (Cited by: 30). Résumé | Liens | BibTeX | Étiquettes: article, Experimental methodology, Flow interactions, Image analysis, Markov chain, Markov processes, methodology, mixer, modeling, powder, probability, solid-solid mixing, tracer @article{Aoun-Habbache2002159b,An experimental methodology is developed to investigate the simultaneous axial and radial mixing of particles in a hoop mixer. This involves following the migration of a colored tracer, with flow properties identical to that of the bulk using tracer detection by image analysis. The particle transitions from all initial tracer positions inside the mixer are calculated and the experimental conditions are established which improve the homogeneity of the mixture. Finally, a Markov chain model is derived which gives a good representation of the experimental data. © 2002 Elsevier Science B.V. All rights reserved. |
Publications
2002 |
Energy of fractional order transfer functions Conférence vol. 15, no. 1, 2002, (Cited by: 5; All Open Access, Bronze Open Access). |
System identification using fractional hammerstein models Conférence vol. 15, no. 1, 2002, (Cited by: 23). |
An experimental method and a Markov chain model to describe axial and radial mixing in a hoop mixer Article de journal Dans: Powder Technology, vol. 128, no. 2-3, p. 159 – 167, 2002, (Cited by: 30). |