A novel passivity-based trajectory tracking control for conservative mechanical systems

Robert Mahony*

*Corresponding author for this work

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    1 Citation (Scopus)

    Abstract

    Most passivity based trajectory tracking algorithms for mechanical systems can only stabilise reference trajectories that have constant energy. This paper overcomes this limitation by deriving a single variable Hamiltonian model for the reference trajectory and solving along the constrained trajectory to obtain a reference potential. This potential is then used as the model to shape the energy of the true system such that its free solutions include the desired reference trajectory. The proposed trajectory tracking algorithm interconnects the reference and true systems through a virtual spring damper along with an outer-loop energy pump/damper that stabilises the desired energy level of the interconnected system, ensuring asymptotic tracking of the desired trajectory. The resulting algorithm is a fully energy based trajectory tracking control for non-stationary trajectories of conservative mechanical systems.

    Original languageEnglish
    Title of host publication2019 IEEE 58th Conference on Decision and Control, CDC 2019
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages4259-4266
    Number of pages8
    ISBN (Electronic)9781728113982
    DOIs
    Publication statusPublished - Dec 2019
    Event58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
    Duration: 11 Dec 201913 Dec 2019

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    Volume2019-December
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference58th IEEE Conference on Decision and Control, CDC 2019
    Country/TerritoryFrance
    CityNice
    Period11/12/1913/12/19

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