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Comments on the stabilizability of the angular velocity of a rigid body
Authors:Dirk Aeyels
Affiliation:1. Aerospace Science and Technology Department, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy;2. Aeronautics, Astronautics and Computational Engineering Academic Unit, University of Southampton, Highfield Campus, Southampton SO17 1BJ, UK;1. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;2. Space New Technology Laboratory, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Abstract:This paper discusses the stabilizability by smooth feedback of the angular velocity of a rigid body. First we show how to asymptotically stabilize the system with a single control. Then it is shown that a single control aligned with a principal axis cannot asymptotically stabilize the system. Finally we present some new results on stabilization by means of scalar feedback control.
Keywords:Rigid body   Angular velocity   Feedback, Stabilization
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