Le Gorrec, Yann and Matignon, Denis
Matrix-valued Impedances with Fractional Derivatives and Integrals in Boundary Feedback Control: a port-Hamiltonian
approach.
(2015)
In: 5th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, 4 July 2015 - 7 July 2015 (Lyon, France).
|
(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 340kB |
Official URL: https://doi.org/10.1016/j.ifacol.2015.10.236
Abstract
This paper discusses the passivity of the port-Hamiltonian formulation of a multivariable impedance matching boundary feedback of fractional order, expressed through diffusive representation. It is first shown in the 1D-wave equation case that the impedance matching boundary feedback can be written as a passive feedback on the boundary port variables. In the Euler-Bernoulli case, the impedance matching feedback matrix involves fractional derivatives and integrals. It is shown that the usual diffusive representation of such feedback is not formally a dissipative port-Hamiltonian system, even if from a frequency point of view this feedback proves passive.
Item Type: | Conference or Workshop Item (Paper) |
---|---|
Audience (conference): | International conference without published proceedings |
Uncontrolled Keywords: | |
Institution: | French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Other partners > Ecole Nationale Supérieure de Mécanique et des Microtechniques - ENSMM (FRANCE) Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) Other partners > Université de Franche-Comté (FRANCE) Other partners > Université de Technologie de Belfort-Montbéliard - UTBM (FRANCE) |
Laboratory name: | |
Funders: | ANR |
Statistics: | download |
Deposited On: | 13 Jun 2018 10:22 |
Repository Staff Only: item control page