Geometric tracking control of the attitude dynamics of a rigid body on SO(3)

This paper provides new results for a tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid complexities and ambiguities associated with other attitude representations...

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Bibliographic Details
Published inProceedings of the 2011 American Control Conference pp. 1200 - 1205
Main Author Taeyoung Lee
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2011
Subjects
Angular velocity
Attitude control
Control systems
Convergence
Manifolds
Quaternions
Vehicle dynamics
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ISBN1457700808
9781457700804
ISSN0743-1619
DOI10.1109/ACC.2011.5990858

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Summary:This paper provides new results for a tracking control of the attitude dynamics of a rigid body. Both of the attitude dynamics and the proposed control system are globally expressed on the special orthogonal group, to avoid complexities and ambiguities associated with other attitude representations such as Euler angles or quaternions. By selecting an attitude error function carefully, we show that the proposed control system guarantees a desirable tracking performance uniformly for nontrivial rotational maneuvers involving a large initial attitude error. In a special case where the desired attitude command is fixed, we also show that the attitude dynamics can be stabilized without the knowledge of an inertia matrix. These are illustrated by numerical examples.
ISBN:1457700808
9781457700804
ISSN:0743-1619
DOI:10.1109/ACC.2011.5990858