Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France)

Bernard BONNARD; Jean-Baptiste CAILLAU; Romain Dujol

Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France)

Bernard BONNARD, Jean-Baptiste CAILLAU, Romain Dujol

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Chapitre

Résumé

This article deals with the optimal transfer of a satellite between Keplerian orbits when the control is oriented along the tangential direction. We consider the time-optimal control problem and the energy minimization problem. The optimal controls laws have discontinuities and continuations and averaging techniques are applied to smooth the discontinuities. The smooth approximations of the solutions are computed using a shooting method taking into account second-order optimality conditions.

langue originale	Anglais
titre	Taming Heterogeneity and Complexity of Embedded Control
Sous-titre	Selected papers presented at the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris IV Sorbonne, 10-12 July 2006
rédacteurs en chef	Francoise LAMNABHI-LAGARRIGUE, Salah LAGHROUCHE, Antonio LORIA, Elena PANTELEY
Lieu de publication	Londres
Editeur	International Scientific and Technical Encyclopaedia
Pages	73-96
Nombre de pages	24
Etat de la publication	Publié - 2006

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Contient cette citation

BONNARD, B., CAILLAU, J-B., & Dujol, R. (2006). Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France). Dans F. LAMNABHI-LAGARRIGUE, S. LAGHROUCHE, A. LORIA, & E. PANTELEY (eds.), Taming Heterogeneity and Complexity of Embedded Control: Selected papers presented at the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris IV Sorbonne, 10-12 July 2006 (p. 73-96). International Scientific and Technical Encyclopaedia. http://iste.co.uk/index.php?f=a&ACTION=View&id=171

BONNARD, Bernard ; CAILLAU, Jean-Baptiste ; Dujol, Romain. / Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging : Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France). Taming Heterogeneity and Complexity of Embedded Control: Selected papers presented at the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris IV Sorbonne, 10-12 July 2006. Editeur / Francoise LAMNABHI-LAGARRIGUE ; Salah LAGHROUCHE ; Antonio LORIA ; Elena PANTELEY. Londres : International Scientific and Technical Encyclopaedia, 2006. p. 73-96

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title = "Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France)",

abstract = "This article deals with the optimal transfer of a satellite between Keplerian orbits when the control is oriented along the tangential direction. We consider the time-optimal control problem and the energy minimization problem. The optimal controls laws have discontinuities and continuations and averaging techniques are applied to smooth the discontinuities. The smooth approximations of the solutions are computed using a shooting method taking into account second-order optimality conditions.",

keywords = " shooting method, continuation method, second-order optimality condition, single-input orbit transfer, averaging, Optimal control",

author = "Bernard BONNARD and Jean-Baptiste CAILLAU and Romain Dujol",

note = "Publication editors : Francoise LAMNABHI-LAGARRIGUE, Salah LAGHROUCHE, Antonio LORIA and Elena PANTELEY",

year = "2006",

language = "English",

pages = "73--96",

editor = "Francoise LAMNABHI-LAGARRIGUE and Salah LAGHROUCHE and Antonio LORIA and Elena PANTELEY",

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BONNARD, B, CAILLAU, J-B & Dujol, R 2006, Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France). Dans F LAMNABHI-LAGARRIGUE, S LAGHROUCHE, A LORIA & E PANTELEY (eds), Taming Heterogeneity and Complexity of Embedded Control: Selected papers presented at the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris IV Sorbonne, 10-12 July 2006. International Scientific and Technical Encyclopaedia, Londres, p. 73-96. <http://iste.co.uk/index.php?f=a&ACTION=View&id=171>

Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France). / BONNARD, Bernard; CAILLAU, Jean-Baptiste; Dujol, Romain.
Taming Heterogeneity and Complexity of Embedded Control: Selected papers presented at the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris IV Sorbonne, 10-12 July 2006. Ed. / Francoise LAMNABHI-LAGARRIGUE; Salah LAGHROUCHE; Antonio LORIA; Elena PANTELEY. Londres: International Scientific and Technical Encyclopaedia, 2006. p. 73-96.

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Chapitre

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AB - This article deals with the optimal transfer of a satellite between Keplerian orbits when the control is oriented along the tangential direction. We consider the time-optimal control problem and the energy minimization problem. The optimal controls laws have discontinuities and continuations and averaging techniques are applied to smooth the discontinuities. The smooth approximations of the solutions are computed using a shooting method taking into account second-order optimality conditions.

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BONNARD B, CAILLAU J-B, Dujol R. Smooth approximations of single-input controlled Keplerian trajectories : homotopies and averaging: Proceedings of the CTS-HyCon Workshop on Nonlinear and Hybrid Control (10-12 Juillet 2006, Paris IV Sorbonne, France). Dans LAMNABHI-LAGARRIGUE F, LAGHROUCHE S, LORIA A, PANTELEY E, rédacteurs en chef, Taming Heterogeneity and Complexity of Embedded Control: Selected papers presented at the Joint CTS-HYCON Workshop on Nonlinear and Hybrid Control, Paris IV Sorbonne, 10-12 July 2006. Londres: International Scientific and Technical Encyclopaedia. 2006. p. 73-96