Experimental bifurcation analysis for a driven nonlinear flexible pendulum using control-based continuation

Emil Bureau, Frank Schilder, Ilmar Santos, Jon Juel Thomsen, Jens Starke

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    Abstract

    We present a software toolbox that allows to apply continuation methods directly to a controlled lab experiment. This toolbox enables us to systematically explore how stable and unstable steady state periodic vibrations depend on parameters. The toolbox is implemented partly in MATLAB and partly on a dSPACE realtime controller board. Its functionality is tested on a driven mechanical oscillator with a strong impact nonlinearity, controlled with electromagnetic actuators. We show how to tune a controller so that the steady state dynamics of the controlled experiment matches that of the corresponding un-controlled experiment.
    Original languageEnglish
    Title of host publication7th European Nonlinear Dynamics Conference
    Publication date2011
    Publication statusPublished - 2011
    Event7th European Nonlinear Oscillations Conference - Sapienza University of Rome, Rome, Italy
    Duration: 24 Jul 201129 Jul 2011
    Conference number: 7
    https://euromech.org/conferences/ENOC/ENOC7

    Conference

    Conference7th European Nonlinear Oscillations Conference
    Number7
    LocationSapienza University of Rome
    Country/TerritoryItaly
    CityRome
    Period24/07/201129/07/2011
    Internet address

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