Gradient-like observer design on the Special Euclidean group SE(3) with system outputs on the real projective space

Minh Duc Hua, Tarek Hamel, Robert Mahony, Jochen Trumpf

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

    29 Citations (Scopus)

    Abstract

    A nonlinear observer on the Special Euclidean group SE(3) for full pose estimation, that takes the system outputs on the real projective space directly as inputs, is proposed. The observer derivation is based on a recent advanced theory on nonlinear observer design. A key advantage with respect to existing pose observers on SE(3) is that we can now incorporate in a unique observer different types of measurements such as vectorial measurements of known inertial vectors and position measurements of known feature points. The proposed observer is extended allowing for the compensation of unknown constant bias present in the velocity measurements. Rigorous stability analyses are equally provided. Excellent performance of the proposed observers are shown by means of simulations.

    Original languageEnglish
    Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages2139-2145
    Number of pages7
    ISBN (Electronic)9781479978861
    DOIs
    Publication statusPublished - 8 Feb 2015
    Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
    Duration: 15 Dec 201518 Dec 2015

    Publication series

    NameProceedings of the IEEE Conference on Decision and Control
    Volume54rd IEEE Conference on Decision and Control,CDC 2015
    ISSN (Print)0743-1546
    ISSN (Electronic)2576-2370

    Conference

    Conference54th IEEE Conference on Decision and Control, CDC 2015
    Country/TerritoryJapan
    CityOsaka
    Period15/12/1518/12/15

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