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Experimental Platform for Boundary Control of Mechanical Frenkel-Kontorova Model

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00362160" target="_blank" >RIV/68407700:21230/22:00362160 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1109/CDC51059.2022.9992448" target="_blank" >http://dx.doi.org/10.1109/CDC51059.2022.9992448</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/CDC51059.2022.9992448" target="_blank" >10.1109/CDC51059.2022.9992448</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Experimental Platform for Boundary Control of Mechanical Frenkel-Kontorova Model

  • Original language description

    In this paper, we present a laboratory mechatronic platform for experimental demonstration and verification of various dynamical and control system phenomena exhibited by the Frenkel-Kontorova (FK) model – a spatially discretized version of the sine-Gordon equation. The platform consists of an array of spring-coupled pendulums pivoting around a single axis with the first and the last pendulums controlled by motors and all pendulums’ angles measured electronically. We first introduce and describe the platform, providing details of its mechatronic design and software architecture. All the design files are freely shared with the research community under an open-source license through a public repository. The platform can be used as a testbed for various control algorithms, e.g., for distributed control or control of flexible structures. In the second part of the paper, we showcase the platform using two control problem formulations tailored to the FK model. We discuss the practical motivation for studying these problems, propose methods for solving them, and experimentally demonstrate their functionality. In particular, the first control formulation deals with non-collocated stabilization of a single pendulum through one boundary of the array in the presence of a disturbance sent from the other boundary; the second control problem consists in synchronizing pendulums’ angular speeds. Other problems can certainly be formulated, solved, and demonstrated using the proposed platform whether for research or education purposes.

  • 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/GA21-07321S" target="_blank" >GA21-07321S: Persistent problems of repetitive control</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • 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 61st IEEE Conference on Decision and Control

  • ISBN

    978-1-6654-6761-2

  • ISSN

    0743-1546

  • e-ISSN

    2576-2370

  • Number of pages

    6

  • Pages from-to

    7618-7623

  • Publisher name

    IEEE

  • Place of publication

    Piscataway

  • Event location

    Cancún

  • Event date

    Dec 6, 2022

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000948128106055