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Time-varying Exponential Stabilization of the Attitude of a Rigid Spacecraft with Two Controls

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HAL Id: inria-00074182

https://hal.inria.fr/inria-00074182

Submitted on 24 May 2006

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Time-varying Exponential Stabilization of the Attitude of a Rigid Spacecraft with Two Controls

Pascal Morin, Claude Samson

To cite this version:

Pascal Morin, Claude Samson. Time-varying Exponential Stabilization of the Attitude of a Rigid

Spacecraft with Two Controls. RR-2493, INRIA. 1995. �inria-00074182�

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a p p o r t

d e r e c h e r c h e

INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

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February 1995

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-0.2 -0.1 0 0.1 0.2 0.3 0.4 0.5

0 10 20 30 40 50 60

x 1 axis

time axis Fig.1: evolution of x 1

-0.1 -0.05 0 0.05 0.1 0.15 0.2 0.25 0.3

0 10 20 30 40 50 60

x 2 axis

time axis

Fig.2: evolution of x 2

(24)

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6

0 10 20 30 40 50 60

x 3 axis

time axis Fig.3: evolution of x 3

-1.5 -1 -0.5 0 0.5 1

0 10 20 30 40 50 60

ω 1 axis

time axis

Fig.4: evolution of ω 1

(25)

-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8

0 10 20 30 40 50 60

ω 2 axis

time axis Fig.5: evolution of ω 2

-0.4 -0.2 0 0.2 0.4 0.6 0.8 1

0 10 20 30 40 50 60

ω 3 axis

time axis

Fig.6: evolution of ω 3

(26)

-6 -5 -4 -3 -2 -1 0 1

0 10 20 30 40 50 60

log( ρ (X, ω )) axis

time axis

Fig.7: evolution of log(ρ(X,ω))

(27)

Unite´ de recherche INRIA Lorraine, Technopoˆle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LE`S NANCY

Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex 1

Unite´ de recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex Unite´ de recherche INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex

E ´ diteur

INRIA, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France)

ISSN 0249-6399

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