Two-Relay Controller and Its Application in Snake-Like Robot Motion: An Infinite-Dimensional Setting

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4 Scopus citations

Abstract

We proposed a self-oscillation control and its application to the locomotion of a robotic snake system whose model is governed by a partial differential equation. The dynamics of the snake were represented as a one-dimensional hyperbolic partial differential equation. Studies have demonstrated that the motion of a snake on a surface or in the water is like a wave. A boundary two-relay controller was used to induce the self-oscillation in the snake-like robot. We proved, by proposing a strict Lyapunov functional, the asymptotical stability of the closed-loop system. We corroborated the theoretical results by numerical simulations. The results constitute a first step in using a two-relay controller in infinite-dimensional systems.

Original languageEnglish
Title of host publication2021 American Control Conference, ACC 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4087-4092
Number of pages6
ISBN (Electronic)9781665441971
DOIs
StatePublished - 25 May 2021
Event2021 American Control Conference, ACC 2021 - Virtual, New Orleans, United States
Duration: 25 May 202128 May 2021

Publication series

NameProceedings of the American Control Conference
Volume2021-May
ISSN (Print)0743-1619

Conference

Conference2021 American Control Conference, ACC 2021
Country/TerritoryUnited States
CityVirtual, New Orleans
Period25/05/2128/05/21

Keywords

  • Boundary control
  • distributed parameter systems
  • self-oscillations
  • snake locomotion

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