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Trajectory Optimization for the Swing-Up of an Acrobot using a DMOC Approach

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Abstract

An acrobot is a nonlinear and underactuated system with two degrees of freedom. The control of its swing-up motion using only the actuated joint at the elbow of the system is a challenging problem that has been tackled using different optimal control approaches. This paper uses the Discrete Mechanics and Optimal Control (DMOC) method to solve the problem, allowing the system to start from its position pointing down and end at the unstable upward position. The formulation of the trajectory optimization problem for the acrobot is presented, followed by the full solution, including all the mathematical details. The results compare the obtained solution with a more classical one, showing the effectiveness of the DMOC approach on the control signal.

Original languageEnglish
Title of host publicationSHIRCON 2019 - 2019 IEEE Sciences and Humanities International Research Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728138183
DOIs
StatePublished - Nov 2019
Event2019 IEEE Sciences and Humanities International Research Conference, SHIRCON 2019 - Lima, Peru
Duration: 13 Nov 201915 Nov 2019

Publication series

NameSHIRCON 2019 - 2019 IEEE Sciences and Humanities International Research Conference

Conference

Conference2019 IEEE Sciences and Humanities International Research Conference, SHIRCON 2019
Country/TerritoryPeru
CityLima
Period13/11/1915/11/19

Keywords

  • Acrobot
  • DMOC
  • Optimal Control
  • Trajectory Optimization

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