On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping

Hugo Rodríguez, Arjan van der Schaft, Romeo Ortega

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    Abstract

    Energy-shaping techniques have been successfully used for stabilization of nonlinear finite dimensional systems for 20 years now. In particular, for systems described by Port-Controlled Hamiltonian (PCH) models, the "control by interconnection" method provides a simple and elegant procedure for stabilization of nonlinear systems with finite dissipation. In this paper we explore the possibility of extending this technique to the case where the plant contains a distributed parameter subsystem, in the form of a transmission line between the plant and the controller. Note: The present paper is an abridged version of [3]
    Original languageEnglish
    Pages131-136
    Number of pages6
    DOIs
    Publication statusPublished - 2001
    Event40th IEEE Conference on Decision and Control, CDC 2001 - Hyatt Regency Grand Cypress, Orlando, United States
    Duration: 4 Dec 20017 Dec 2001

    Conference

    Conference40th IEEE Conference on Decision and Control, CDC 2001
    Abbreviated titleCDC
    CountryUnited States
    CityOrlando
    Period4/12/017/12/01

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    Keywords

    • IR-69107
    • EWI-16702

    Cite this

    Rodríguez, H., van der Schaft, A., & Ortega, R. (2001). On stabilization of nonlinear distributed parameter port-controlled Hamiltonian systems via energy-shaping. 131-136. Paper presented at 40th IEEE Conference on Decision and Control, CDC 2001, Orlando, United States. https://doi.org/10.1109/.2001.980086