Observer design on the Special Euclidean group SE(3)

Minh Duc Hua*, Mohammad Zamani, Jochen Trumpf, Robert Mahony, Tarek Hamel

*Corresponding author for this work

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

    55 Citations (Scopus)

    Abstract

    This paper proposes a nonlinear pose observer designed directly on the Lie group structure of the Special Euclidean group SE(3). We use a gradient-based observer design approach and ensure that the derived observer innovation can be implemented from position measurements. We prove local exponential stability of the error and instability of the non-zero critical points. Simulations indicate that the observer is indeed almost globally stable as would be expected.

    Original languageEnglish
    Title of host publication2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages8169-8175
    Number of pages7
    ISBN (Print)9781612848006
    DOIs
    Publication statusPublished - 2011
    Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, United States
    Duration: 12 Dec 201115 Dec 2011

    Publication series

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

    Conference

    Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
    Country/TerritoryUnited States
    CityOrlando, FL
    Period12/12/1115/12/11

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