A dual quaternion solution to attitude and position control for rigid-body coordination

Xiangke Wang*, Changbin Yu, Zhiyun Lin

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    110 Citations (Scopus)

    Abstract

    This paper focuses on finding a dual quaternion solution to attitude and position control for multiple rigid body coordination. Representing rigid bodies in 3-D space by unit dual quaternion kinematics, a distributed control strategy, together with a specified rooted-tree structure, are proposed to control the attitude and position of networked rigid bodies simultaneously with notion concision and nonsingularity. A property called pairwise asymptotic stability of the overall system is then analyzed and validated by an example of seven quad-rotor formation in the Urban Search And Rescue Simulation (USARSim) platform. As a separate but related issue, a maximum depth condition of the rooted tree is found with respect to error accumulation along each path using dual quaternion algebra, such that a given safety bound on attitude and position errors can be satisfied.

    Original languageEnglish
    Article number6218785
    Pages (from-to)1162-1170
    Number of pages9
    JournalIEEE Transactions on Robotics
    Volume28
    Issue number5
    DOIs
    Publication statusPublished - 2012

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