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Constrained stabilization on the n-sphere

delete2021-03-01
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OA
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S
Soulaimane Berkane *
D
Dimos V. Dimarogonas
DOI:10.1016/j.automatica.2020.109416delete
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Abstract

Abstract

En 中文
We solve the stabilization problem on the n-sphere in the presence of conic constraints. We use the stereographic projection to map this problem to the classical navigation problem on Fin in the presence of spherical obstacles. As a consequence, any obstacle avoidance algorithm for navigation in the Euclidean space can be used to solve the given problem on the n-sphere. We illustrate the effectiveness of the approach using the kinematics of the reduced attitude model on the 2-sphere. (C) 2020 Elsevier Ltd. All rights reserved.
Keywords:
Constrained control
Unit n-sphere
Conic constraints
Obstacle avoidance
Euclidean sphere world
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Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

U
university of quebec
Scholars:
2.0W
Papers: 1.9W
Citations: 19
U
university quebec outaouais
Scholars:
504
Papers: 451
Citations: 2