文章基本信息

标题：Matrix-valued Impedances with Fractional Derivatives and Integrals in Boundary Feedback Control: a port-Hamiltonian approach
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作者：Yann Le Gorrec ; Denis Matignon
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：13
页码：182-187
DOI：10.1016/j.ifacol.2015.10.236
语种：English
出版社：Elsevier
摘要：AbstractThis 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.
关键词：Keywordsfractional differential equationsdiffusive systemspseudo-differential operatorshereditary mechanicsstabilitynumerical methodsboundary control of PDEs