TIME-VARYING FEEDBACK STABILIZATION OF THE ATTITUDE OF A RIGID SPACECRAFT WITH 2 CONTROLS

Citation
P. Morin et al., TIME-VARYING FEEDBACK STABILIZATION OF THE ATTITUDE OF A RIGID SPACECRAFT WITH 2 CONTROLS, Systems & control letters, 25(5), 1995, pp. 375-385
Citations number
25
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
ISSN journal
01676911
Volume
25
Issue
5
Year of publication
1995
Pages
375 - 385
Database
ISI
SICI code
0167-6911(1995)25:5<375:TFSOTA>2.0.ZU;2-7
Abstract
It is known that rigid body models with two controls cannot be locally asymptotically stabilized by continuous feedbacks which are functions of the state only. This impossibility does no longer hold when the fe edback is also a function of time, or when it is discontinuous. A loca lly stabilizing smooth time-varying feedback is here explicitly derive d by using Center Manifold Theory combined with averaging and Lyapunov techniques.