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Damping a pendulum's swing by string length adjustment - Design and comparison of various control methods

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F19%3A00337136" target="_blank" >RIV/68407700:21220/19:00337136 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21730/19:00337136

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Damping a pendulum's swing by string length adjustment - Design and comparison of various control methods

  • Original language description

    A novel nonlinear control theory based feedback controller is proposed to damp the oscillations of the suspended load (pendulum) using the active modification of the length of the suspension string. This setting is a highly nonlinear one since the approximate linearization around the equilibrium working point is neither controllable, nor asymptotically stabilizable. The nonlinear design of the control law is therefore based on the conveniently selected control Lyapunov function. The resulting control law is then compared to the previously developed time-delay feedback control law, both in simulations and using the laboratory experimental realization of the suspended load system. Despite the fact that in the simulations the time-delay feedback control law suppresses the oscillations better than the nonlinear control law, in the experiments the performance of the time-delay feedback and of the nonlinear control law are rather similar. Moreover, the former keeps the pendulum string length oscillating, the latter stabilizes the nominal string length as well. Finally, the numerical optimization shows that the ideal damping would be provided by the impulsive-like control producing piece-wise constant string length dynamics.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    20205 - Automation and control systems

Result continuities

  • Project

    <a href="/en/project/GA16-17398S" target="_blank" >GA16-17398S: Time delay compensators for flexible systems</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 2019 American Control Conference (ACC)

  • ISBN

    978-1-5386-7926-5

  • ISSN

    0743-1619

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

    4399-4405

  • Publisher name

    IEEE

  • Place of publication

    NEW YORK, NY

  • Event location

    Philadelphia

  • Event date

    Jul 10, 2019

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article