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292 BIBLIOGRAPHIE[44] Dailey, R. L. Lecture notes for the workshop on H ∞ and µ methods for robust control, May21-22 1990.[45] Delpech, M., and Fourcade, J. Design of the GNC system for a new concept of X-raydistributed telescope. In 2nd International Symposium on Formation Flying Missions and Technologies(Washington, D.C., September 14-16 2004).[46] Döll, C. La robustesse de lois de commande pour des structures flexibles en aéronautique etespace. PhD thesis, École Nationale Supérieure de l’Aéronautique et de l’Espace, Toulouse,France, July 2001.[47] Döll, C., and Knauf, A. Comparison in terms of size of several LFT models for the lateralmotion of a generic fighter aircraft. In AIAA Guidance, Navigation, and Control Conferenceand Exhibit (San Francisco, CA, August 15-18 2005).[48] Doyle, J. C., Glover, K., Khargonekar, P. P., and Francis, B. A. State-space solutionsto standard H 2 and H ∞ control problems. IEEE Transactions on Automatic Control 34, 8(August 1989), 831–847.[49] D’Souza, C. N. An optimal guidance law for formation flying and stationkeeping. In AIAAGuidance, Navigation, and Control Conference and Exhibit (Monterey, CA, August 5-8 2002).[50] Dubovitsky, S., Lay, O. P., Abramovici, A., Hawley, J. G., Kuhnert, A. C., Mulder,J. L., and Asbury, C. G. The StarLight metrology subsystem. In 2002 IEEE AerospaceConference (Big Sky, MT, March 2002), pp. 1721–1736.[51] EADS Astrium. Étude du GNC pour une mission d’astronomie/interférométrie (voletsystème). EAA.PS.96772.ASTR, May 2005.[52] Eberly, D. Intersection of ellipsoids. http://www.geometrictools.com/Documentation/IntersectionOfEllipsoids.pdf, October 11 2000. [En ligne ; Page disponible le 29-juin-2006].[53] Erwin, R. S., Sparks, A. G., and Bernstein, D. S. Fixed-structure robust controller synthesisvia decentralized static output feedback. International Journal of Robust and NonlinearControl 8 (1998), 499–522.[54] Ferguson, P., and How, J. Decentralized estimation algorithms for formation flying spacecraft.In AIAA Guidance, Navigation, and Control Conference and Exhibit (Austin, TX, August11-14 2003).[55] Ferreres, G. A Practical Approach to Robustness Analysis with Aeronautical Applications.Springer, 1999.[56] Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M. LMI Control Toolbox - foruse with MATLAB. User’s guide Version 1, May 1995.[57] Gaulocher, S., Chrétien, J.-P., and Pittet, C. Six-axis control design and controller switchingfor spacecraft formation flying. In AIAA Guidance, Navigation, and Control Conferenceand Exhibit (Keystone, CO, August 2006).[58] Gaulocher, S., Chrétien, J.-P., Pittet, C., and Alazard, D. Six-axis decentralizedcontrol design for spacecraft formation flying. In IEEE International Conference on ControlApplications (Munich, Germany, October 4-6 2006).Commande boucle fermée multivariable pour le vol en formation de vaisseaux spatiaux
BIBLIOGRAPHIE 293[59] Geromel, J. C., Bernussou, J., and de Oliveira, M. C. H 2 -norm optimization withconstrained dynamic output feedback controllers : Decentralized and reliable control. IEEETransactions on Automatic Control 44, 7 (July 1999), 1449–1454.[60] Gill, E., and Runge, H. Tight formation flying for an along-track SAR interferometer. In54th International Astronautical Congress (IAF) (Bremen, Germany, September 29-October 32003).[61] Gim, D.-W., and Alfriend, K. T. The state transition matrix of relative motion for theperturbed non-circular reference orbit. In AAS/AIAA Space Flight Mechanics Meeting (SantaBarbara, CA, February 11-15 2001).[62] Gökcek, C. Stability analysis of periodically switched linear systems using Floquet theory.Mathematical Problems in Engineering 2004, 1 (2004), 1–10.[63] Guibout, V. M., and Scheeres, D. J. Spacecraft formation dynamics and design. Journalof Guidance, Control, and Dynamics 1, 1 (January-February 2006), 121–133.[64] Gurfil, P., Idan, M., and Kasdin, N. J. Adaptive neural control of deep-space formationflying. Journal of Guidance, Control, and Dynamics 26, 3 (May-June 2003), 491–501.[65] Gurfil, P., and Kasdin, N. J. Dynamics and control of spacecraft formation flying inthree-body trajectories. In AIAA Guidance, Navigation, and Control Conference and Exhibit(Montreal, Canada, August 6-9 2001).[66] Hablani, H. B., Tapper, M., and Dana-Bashian, D. Guidance algorithms for autonomousrendezvous of spacecraft with a target vehicle in circular orbit. In AIAA Guidance, Navigation,and Control Conference and Exhibit (Montreal, Canada, August 6-9 2001).[67] Hadaegh, F. Y., Ghavimi, A. R., Singh, G., and Quadrelli, M. A centralized optimalcontroller for formation flying spacecraft. In International Conference on Intelligent Technologies(Bangkok, Thailand, September 2000).[68] Hashimoto, T., Sakai, S., Ninomiya, K., Maeda, K., and Saito, T. Formation flightcontrol using superconducting magnets. In International Symposium Formation Flying Missionsand Technologies (Toulouse, France, October 29-31 2002).[69] Hill, G. W. Researches in the lunar theory. American Journal of Mathematics 1, 1 (1878),5–26.[70] Hill, G. W. Researches in the lunar theory. American Journal of Mathematics 1, 2 (1878),129–147.[71] Hill, G. W. Researches in the lunar theory. American Journal of Mathematics 3, 3 (1878),245–260.[72] Höllig, K. Grundlagen der Numerik. MathText, Zavelstein, Germany, 1998.[73] How, J. P., and Tillerson, M. Analysis of the impact of sensor noise on formation flyingcontrol. In 2001 American Control Conference (Arlington, VA, June 25-27 2001), pp. 3986–3991.[74] Hughes, P. C. Spacecraft Attitude Dynamics. John Wiley & Sons, 1986.Commande boucle fermée multivariable pour le vol en formation de vaisseaux spatiaux
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THÈSEEn vue de l'obtention duDOCTO
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iRemerciementsÀ l’issue de la lo
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viTABLE DES MATIÈRESII Modèles po
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viiiTABLE DES MATIÈRES4.5.4 Probl
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xTABLE DES MATIÈRESE Non-existence
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xiiSIGLES ET ACRONYMESSigleExplicat
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xivTABLE DES FIGURES3.2 Orbite halo
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xviTABLE DES FIGURES5.9 Effet d’u
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Liste des tableaux1.1 Missions de v
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Liste des publications[1] Gaulocher
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Première partieIntroduction1
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4 1. LE VOL EN FORMATIONLe vol en f
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6 1. LE VOL EN FORMATIONLa Fig. 1.3
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8 1. LE VOL EN FORMATIONSoleil. Le
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10 1. LE VOL EN FORMATIONFigure 1.6
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12 1. LE VOL EN FORMATIONÀ l’int
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14 1. LE VOL EN FORMATIONque d’ha
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16 1. LE VOL EN FORMATIONLa Fig. 1.
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Deuxième partieModèles pour le vo
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22 2. DYNAMIQUE TRANSLATIONNELLE EN
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60 3. MODÈLE COUPLÉ EN TRANSLATIO
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100 3. MODÈLE COUPLÉ EN TRANSLATI
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Chapitre 4Méthodologie pour le pil
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4.1 Revue bibliographique 129Hussei
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4.2 Objectifs 131du système en bou
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4.3 Analyse de la dynamique 133d’
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4.3 Analyse de la dynamique 1352402
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4.4 Modèle linéaire fractionnaire
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4.5 Contrôle modal auto-séquencé
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4.6 Contrôle séquencé H 2 -optim
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Chapitre 5Méthodologie pour le pil
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5.1 Revue bibliographique 185Planet
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5.3 Modélisation de la mission Peg
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5.4 Synthèse d’un correcteur pou
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5.5 Commutation entre correcteurs 2
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Page 267 and 268: 5.5 Commutation entre correcteurs 2
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Page 305: 5.7 Bilan global 279complètement d
Page 309 and 310: Récapitulation et contributionsDan
Page 311: RÉCAPITULATION ET CONTRIBUTIONS 28
Page 314 and 315: 288 PERSPECTIVESde base pour le mod
Page 316 and 317: 290 BIBLIOGRAPHIE[13] Bamford, W. A
Page 320 and 321: 294 BIBLIOGRAPHIE[75] Hussein, I. I
Page 322 and 323: 296 BIBLIOGRAPHIE[106] Losser, Y. A
Page 324 and 325: 298 BIBLIOGRAPHIE[138] Philippe, C.
Page 326 and 327: 300 BIBLIOGRAPHIE[167] Stilwell, D.
Page 328 and 329: 302 BIBLIOGRAPHIE[197] Yamamoto, T.
Page 331: Annexe AConstantes et unitésConsta
Page 334 and 335: 308 B. NOTATIONSLe carré d’une m
Page 336 and 337: 310 B. NOTATIONSLa dérivée tempor
Page 339 and 340: Annexe CNotions de base en cinémat
Page 341 and 342: C.1 Cinématique 315Figure C.1 - Un
Page 343 and 344: C.1 Cinématique 317Cette matrice e
Page 345 and 346: C.1 Cinématique 319Nous utiliseron
Page 347 and 348: C.1 Cinématique 321Il est possible
Page 349 and 350: C.2 Dynamique 323l’expression (C.
Page 351 and 352: C.2 Dynamique 325Figure C.5 - Corps
Page 353 and 354: C.2 Dynamique 327= m −→ •−
Page 355 and 356: Annexe DCalcul des gradients et hes
Page 357 and 358: D.2 Deuxième harmonique zonal (J 2
Page 359 and 360: Annexe ENon-existence d’une repr
Page 361 and 362: 335- Condition d’ordre trois (N =
Page 363 and 364: Annexe FTransformée de Fourier dis
Page 365 and 366: Annexe GThéorème de Floquet ettra
Page 367: 341Le logarithme naturel log z d’
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344 H. LA SYNTHÈSE H 2Les dimensio
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346 H. LA SYNTHÈSE H 2Tout d’abo
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Annexe IDistance entre un hyper-ell
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I.1 Premier algorithme 351longueurs
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I.2 Deuxième algorithme 353˜x (k)
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I.2 Deuxième algorithme 355Mainten
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Annexe JRéduction de correcteursL
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359Le critère pour la réduction d
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