Global stabilization of a rotational motion of a rigid body using rotors system.
type: Item
instance of: scholarly article
title: Global stabilization of a rotational motion of a rigid body using rotors system.
zbMATH Open document ID: 1033.93052
DOI: 10.1016/S0096-3003(01)00235-1
author: Awad El-Gohary
published in: Applied Mathematics and Computation
publication date: 2003-01-28T00:00:00Z
review text: In the present paper, the problem of global asymptotic stabilization of a rotational motion of a rigid body around an arbitrary axis with the help of a rotors system is treated using the Lyapunov function technique. The control moments are determined. The conditions of this motion are adopted to obtain the control law as nonlinear functions of the phase coordinates of the system and the angle of rotation.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 70E50
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 93C85
zbMATH DE Number: 1861255
zbMATH Keywords: stabilization of systems by feedback
zbMATH Keywords: stability problems
zbMATH Keywords: control of mechanical systems
zbMATH Keywords: automated systems
zbMATH Keywords: robots
reviewed by: Clementina Mladenova
MaRDI profile type: Publication
cites work: Optimal stabilization of the rotational motion of a rigid body with the help of rotors
cites work: Q3912090
cites work: The global stability of the steady rotations of a solid
cites work: The control of angular momentum for asymmetric rigid bodies
cites work: The optimal control of an angular motion of a gyrostat containing fluid
cites work: On the orientation of a gyrostat using internal rotors
cites work: Optimal stabilization of the equilibrium positions of a rigid body using rotors
cites work: Codimension-two bifurcations in a pendulum with feedback control
cites work: On the stability of motion of a gyrostat about a fixed point under the action of non-symmetric fields
cites work: Chaotic motion of a gyrostat with asymmetric rotor
full work available at URL: s0096-3003(01)00235-1
OpenAlex ID: W2091406719
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description: scientific article; zbMATH DE number 1861255