Attitude and pose formation control for multiple 3D rigid bodies based on unit quaternion representation

Pieter Van Goor, Zhiyong Sun, Changbin Brad Yu

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

    1 Citation (Scopus)

    Abstract

    This paper discusses rigid body formation control for multi-agent systems in 3D spaces and proposes a formation control law to achieve attitude formation and pose formation for multiple rigid bodies. The proposed formation control strategy extends the available attitude synchronization law to an attitude formation control law, and further employs the consensus-based position control to achieve a rigid body formation control in 3D spaces. Each agent's attitude state is represented by a unit quaternion, and each agent's position is represented by a vector in R 3 . We show that the formation system with the proposed control law is stable at the desired equilibrium by providing a Lyapunov argument for the attitude component. We also employ the stability analysis of cascade systems for the overall rigid body formation system by using available results on linear consensus dynamics.

    Original languageEnglish
    Title of host publicationProceedings of the 37th Chinese Control Conference, CCC 2018
    EditorsXin Chen, Qianchuan Zhao
    PublisherIEEE Computer Society
    Pages6505-6510
    Number of pages6
    ISBN (Electronic)9789881563941
    DOIs
    Publication statusPublished - 5 Oct 2018
    Event37th Chinese Control Conference, CCC 2018 - Wuhan, China
    Duration: 25 Jul 201827 Jul 2018

    Publication series

    NameChinese Control Conference, CCC
    Volume2018-July
    ISSN (Print)1934-1768
    ISSN (Electronic)2161-2927

    Conference

    Conference37th Chinese Control Conference, CCC 2018
    Country/TerritoryChina
    CityWuhan
    Period25/07/1827/07/18

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