The minimal model of a continuous, physical system, and more

N.E. Ligterink, Peter C. Breedveld, Arjan J. van der Schaft

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademic

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    Abstract

    Infinite dimensional, or continuous systems, and their finite element method (FEM) representations have, for many applications in control and optimization, too many degrees of freedom to be of practical use. Model order reduction is an essential part of modelling such systems. What features to retain is determined by the dynamics of interest, which follow from the input to the system and the specifications of the model. The input is necessary to bring the system into a nontrivial dynamical state, the output does not always follow from the specifications.
    The appropriate output to an input, in the port-based modelling, is the response to an input, which product is the power transfer in or out of the system. The input and output are therefore collocated in a single “port”. In continuous systems the variables of the input are usually not the same as the internal variables, or the state. For example, the input to an elastic system can be force or velocity, while the corresponding internal variables are the stress and strain tensors. The relation among boundary variables and internal variables can be formalized in the port-Hamiltonian H0. This extension of the Hamiltonian H of a physical system automatically dictates the appropriate boundary variables and
    the correct boundary conditions to be set, even in the case of an open system, where energy flows in and out of the system through the boundaries.
    Original languageEnglish
    Title of host publication25th Benelux Meeting on Systems and Control, March 13 – 15, 2006, Heeze, The Netherlands
    Subtitle of host publicationBook of Abstracts
    EditorsBram de Jager, Gjerrit Meinsma
    PublisherTechnische Universiteit Eindhoven
    Pages57-57
    ISBN (Print)978-90-386-2558-4
    Publication statusPublished - 13 Mar 2006
    Event25th Benelux Meeting on Systems and Control 2006 - Heeze, Belgium
    Duration: 13 Mar 200615 Mar 2006
    Conference number: 25

    Conference

    Conference25th Benelux Meeting on Systems and Control 2006
    CountryBelgium
    CityHeeze
    Period13/03/0615/03/06

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