Exponential stabilization of boundary controlled port-Hamiltonian systems with dynamic feedback

Hector Ramirez, Yann Le Gorrec, A. Macchelli, Alessandro Macchelli, Heiko J. Zwart

    Research output: Contribution to journalArticleAcademicpeer-review

    43 Citations (Scopus)

    Abstract

    It is shown that a strictly-input passive linear finite dimensional controller exponentially stabilizes a large class of partial differential equations actuated at the boundary of a one dimensional spatial domain. This follows since the controller imposes exponential dissipation of the total energy. The result can by use for control synthesis and for the stability analysis of complex systems modeled by sets of coupled PDE's and ODE's. The result is specialized to port-Hamiltonian control systems and a simplified DNA-manipulation process is used to illustrate the result.
    Original languageUndefined
    Pages (from-to)2849-2855
    Number of pages7
    JournalIEEE transactions on automatic control
    Volume59
    Issue number10
    DOIs
    Publication statusPublished - Oct 2014

    Keywords

    • partial differential equations (PDEs)
    • EWI-25195
    • IR-93163
    • METIS-309618
    • Boundary control systems (BCS)

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