@inproceedings{ec2fbb8f740b4bf9b35afb176418b86b,
title = "Morse-lyapunov-based control of rigid body motion on TSE(3) via backstepping",
abstract = "In this paper, a rigid body controller is designed on the tangent bundle TSE(3) of the Lie group SE(3) using the backstepping technique. The controller is capable of treating the rotational and translational motions of the rigid body simultaneously. The system states considered in the control design are rotational and translational displacements and velocities of the body. As a result, the states of the system are composed of the 4×4 configuration tensor of the body and its six-dimensional augmented velocity vector. In addition, the use of geometric mechanics in the control design results in almost global asymptotic stability of the resulting motion which is proved via a Morse-Lyapunov-based approach.",
author = "Morad Nazari and Mohammad Maadani and Butcher, {Eric A.} and Tansel Yucelen",
note = "Funding Information: *Assistant Professor, Department of Aerospace Engineering, Embry-Riddle Aeronautical University, AIAA Member. „PhD Student, Department of Aerospace and Mechanical Engineering, University of Arizona. …Professor, Aerospace and Mechanical Engineering Department, University of Arizona, AIAA Member. §Assistant Professor, Department of Mechanical Engineering, University of South Florida, AIAA Member. ⋆This research was supported by the Dynamics, Control, and Systems Diagnostics Program of the National Science Foundation under Grants CMMI-1657637 and CMMI-1561836. Funding Information: This research was supported by the Dynamics, Control, and Systems Diagnostics Program of the National Science Foundation under Grants CMMI-1561836 and CMMI-1657637. Publisher Copyright: {\textcopyright} 2018, American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.; AIAA Guidance, Navigation, and Control Conference, 2018 ; Conference date: 08-01-2018 Through 12-01-2018",
year = "2018",
month = jan,
day = "1",
doi = "10.2514/6.2018-0602",
language = "English (US)",
isbn = "9781624105265",
series = "AIAA Guidance, Navigation, and Control Conference, 2018",
publisher = "American Institute of Aeronautics and Astronautics Inc, AIAA",
booktitle = "AIAA Guidance, Navigation, and Control",
}