Multi-variable port Hamiltonian model of piezoelectric material

A. Macchelli, Alessandro Macchelli, Arjan van der Schaft, Claudio Melchiorri

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    11 Citations (Scopus)
    61 Downloads (Pure)

    Abstract

    In this paper, the dynamics of a piezoelectric material is presented within the new framework of multi-variable distributed port Hamiltonian systems. This class of infinite dimensional system is quite general, thus allowing the description of several physical phenomena, such as heat conduction, elasticity, electromagnetism and, of course, piezoelectricity. The key point is the generalization of the notion of finite dimensional Dirac structure in order to deal with an infinite dimensional space of power variables. In this way, the dynamics of the system results from the interconnection of a proper set of elements, each of them characterized by a particular energetic behavior, while the interaction with the environment is described in terms of mechanical and electrical boundary ports.
    Original languageUndefined
    Title of host publicationProceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems
    Place of PublicationSendai, Japan
    PublisherIEEE
    Pages897-902
    Number of pages6
    ISBN (Print)0-7803-8463-6
    DOIs
    Publication statusPublished - 2004
    Event2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004 - Sendai, Japan
    Duration: 28 Sep 20042 Oct 2004

    Publication series

    Name
    PublisherIEEE
    Volume1

    Conference

    Conference2004 IEEE/RSJ International Conference on Intelligent Robots and Systems, IROS 2004
    Abbreviated titleIROS
    CountryJapan
    CitySendai
    Period28/09/042/10/04

    Keywords

    • METIS-220479
    • IR-69162
    • EWI-16815

    Cite this

    Macchelli, A., Macchelli, A., van der Schaft, A., & Melchiorri, C. (2004). Multi-variable port Hamiltonian model of piezoelectric material. In Proceedings of the 2004 IEEE/RJS International Conference on Intelligent Robots and Systems (pp. 897-902). [10.1109/IROS.2004.1389466] Sendai, Japan: IEEE. https://doi.org/10.1109/IROS.2004.1389466