Rigid body motion stability of translation and rotation without linear and angular velocity measurements via dual quaternion

Yinqiu Wang, Changbin Yu

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

    Abstract

    In this paper, we propose dual quaternion based dynamic output feedbacks for the translational and rotational stability problem of a rigid body without linear velocity and angular velocity measurements. Dual quaternion is a new kind of tools to express the motion of rigid bodies in 3D space, including translation and rotation. Our approach consists of an output feedback controller and introducing an auxiliary system whose input is the relative error between the states of the rigid body and the states of the auxiliary system. The resulting linear and angular velocity free control algorithm guarantees the asymptotical stability of the rigid body. Next, a stability algorithm based on unit dual quaternion is also proposed for the rigid body under its general dynamics. One simulation is provided to show the effectiveness of the proposed control algorithm.

    Original languageEnglish
    Title of host publicationProceedings of the 35th Chinese Control Conference, CCC 2016
    EditorsJie Chen, Qianchuan Zhao, Jie Chen
    PublisherIEEE Computer Society
    Pages10602-10607
    Number of pages6
    ISBN (Electronic)9789881563910
    DOIs
    Publication statusPublished - 26 Aug 2016
    Event35th Chinese Control Conference, CCC 2016 - Chengdu, China
    Duration: 27 Jul 201629 Jul 2016

    Publication series

    NameChinese Control Conference, CCC
    Volume2016-August
    ISSN (Print)1934-1768
    ISSN (Electronic)2161-2927

    Conference

    Conference35th Chinese Control Conference, CCC 2016
    Country/TerritoryChina
    CityChengdu
    Period27/07/1629/07/16

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