Robust Global Asymptotic Stabilization of a 6-DOF Rigid Body by Quaternion-based Hybrid Feedback

TitleRobust Global Asymptotic Stabilization of a 6-DOF Rigid Body by Quaternion-based Hybrid Feedback
Publication TypeConference Paper
Year of Publication2009
AuthorsMayhew C.G, Sanfelice R.G, Teel A.R
Conference NameProc. 46th Conference on Decision and Control
Keywordsattitude control
AbstractThe problem of robust, global asymptotic stabilization of a rigid body is hampered by major topological obstructions. These obstructions prevent a continuous state feedback from solving the problem and also lead to robustness issues when discontinuous feedback is applied. In this paper, we extend a hybrid control strategy proposed in a companion paper for robust, global asymptotic stabilization of rigid body attitude to the case where translation is also considered. The quaternion-based hysteretic hybrid feedback laws are developed in the kinematic and dynamic settings. In the dynamic setting, two control laws are derived, one of which is based on backstepping. Robustness to measurement noise is asserted by employing recently developed stability theory for hybrid systems. The hybrid feedback is found to have desirable robustness properties.
URLhttps://hybrid.soe.ucsc.edu/files/preprints/37.pdf
DOI