Jean-Baptiste Pomet

INRIA

Jean-Baptiste Pomet

Chargé de recherches (full time researcher)

J.-B. Pomet Centre de Recherche INRIA Sophia Antipolis - Méditerranée

Equipe (team) McTAO

(I was a member of APICS until end of 2011)

Phone: +33 4 92 38 77 79
Fax: +33 4 92 38 78 58
Email:

MENU:

PhD & INTERNSHIP PROPOSALS
SUJETS DE STAGE et de THÈSE

PUBLICATIONS
PREPRINTS

NEWS

My main scientific interest is Nonlinear Control, and more specifically:

Nonlinear Stabilization, and optimal control.
Equivalence and classification of control systems.
Applications to Aerospace engineering.

Sujets de stage et de thèse / PhD & Internship proposals :

1. Transfert orbital dans le problème des deux et trois corps en poussée faible: modèle, contrôle optimal, moyennation.: Sujet de stage M2 (un sujet de M1 peut en être dérivé)
Low-thrust orbital transfer for the 2-body or 3-body problems: model, optimal control, averaging.: Internship proposal (master's)
2. Transfert orbital dans le problème des deux et trois corps en poussée faible.: Sujet de thèse
Low-thrust orbital transfer for the 2-body or 3-body problems.: PhD proposal.
3. Platitude et classification de systemes contrôlés de petite dimension, applications à la modélisation.: Sujet de stage M2 (un sujet de M1 peut en être dérivé).
Flatness and classification of low-dimensional control systems, with applications to modeling.: Internship proposal (master's)..

Supervised PhDs :

Helen HENNINGER, « Transfert orbital dans le probleme des deux et trois corps avec la technique de propulsion faible », started octorber, 2012.
Ahed HINDAWI, « Transport optimal en contrôle », june 2012.
Alex BOMBRUN, « Les transferts orbitaux à faible poussée: optimalité et stabilisation », 2007.
David AVANESSOFF, « Linéarisation dynamique des systèmes non linéaires et paramétrage de l´ensemble des solutions », 2005.
Ludovic FAUBOURG, « Construction de fonctions de Lyapunov controlées et stabilisation non-linéaire», 2001.

Publications and preprints :

This is a selection of journal papers, articles in conference proceedings, thesis, unpublished reports avalable for dwonload. For a full list of publications, see my detailed curriculum vitae in pdf format.

A. BOMBRUN, J.-B. POMET, « The averaged control system of fast oscillating control systems», SIAM J. on Control & Optimization, to appear, 2013.
A. HINDAWI, J.-B. POMET, L. RIFFORD, « Mass transportation with LQ cost functions », Acta Applicandae Mathematicae, vol. 115, pp. 215–229, doi:10.1007/s10440-010-9595-1, 2011.
X. LITRICO, V. GUINOT, J.-B. POMET, « Simplified Nonlinear Modeling of River Flow Routing », Advances in Water Resources, vol. 33, pp. 1015–1023, doi:10.1016/j.advwatres.2010.06.004, 2010.
A. BARATCHART, J.-B. POMET, « On local linearization of control systems », J. of Dynamical and Control Systems, vol. 15, pp. 471-536, doi:10.1007/s10883-009-9077-9, 2009.

J.-B. POMET, Équivalence et linéarisation des systèmes de contrôle, HDR Thesis, defended october 23, 2009.
J.-B. POMET, « A necessary condition for dynamic equivalence », SIAM J. on Control & Optimization, vol. 48, pp. 925-940, doi:10.1137/080723351, 2009.
A. BOMBRUN, J.-B. POMET « Asymptotic behavior of the time optimal orbital transfer for low thrust 2-body control system», DCDS supplements, 2007, p. 122-129.
A. BOMBRUN, J. CHETBOUN, J.-B. POMET, « Transferts Terre-Lune en poussée faible par contrôle feedback. La mission Smart-1», (in french), INRIA research report number 5955, 2006.
A. BOMBRUN, J.-B. POMET, « On the average control system», Proceedings of 17th Int. Sympos. on Mathematical Theory of Networks and Systems (MTNS 2006), July, 2006, pp.2912-2917.
L. BARATCHART, M. CHYBA, J.-B. POMET, « A Grobman-Hartman Theorem for Control Systems », in J. Dyn. Differ. Equ., vol. 19, 2007, p. 75-107, doi:10.1007/s10884-006-9014-5.
D. AVANESSOFF, J.-B. POMET, « Flatness and Monge parameterization of two-input systems, control-affine with 4 states or general with 3 states », ESAIM-COCV, vol. 13, 2007, p. 237-264. doi:10.1051/cocv:2007011.
M. PETRECZKY, J.-B. POMET, « Realization Theory of Nonlinear Hybrid Systems», In : Taming Heterogeneity and Complexity of Embedded Control, F. Lamnabhi et al. (eds.), ISTE, 2006, p. 541-570.
A. BOMBRUN, J.-B. POMET, « Judjevic-Quinn conditions and discontinuous bounded controls», In : Taming Heterogeneity and Complexity of Embedded Control, F. Lamnabhi et al. (eds.), ISTE, 2006, p. 63-72.
D. AVANESSOFF, L. BARATCHART, J.-B. POMET, « Sur l'intégrabilité (très) formelle d'une partie des équations de la platitude des systèmes de contrôle » (in french), INRIA research report number 5045, 2004.
L. BARATCHART, M. CHYBA, J.-B. POMET, « Topological versus Smooth Linearization of Control Systems », in Contemporary trends in nonlinear geometric control theory and its applications, World Sci. Publishing, 2002, p. 203-215.
L. FAUBOURG, J.-B. POMET, « Control Lyapunov functions for homogeneous "Jurdjevic-Quinn" systems », ESAIM-COCV, Vol. 5, pp. 293-311, 2000. DOI: 10.1051/cocv:2000112.
L. FAUBOURG, J.-B. POMET, « Design of Control Lyapunov functions for "Jurdjevic-Quinn" systems», in Stability and Stabilization of Nonlinear Systems, D. Aeyels et Al. eds., Lect. Notes in Contr. & Inform. Sci., Vol. 246, pp. 137-150, Springer-Verlag, 1999.
J.-B. POMET, « On the curves that may be approached by trajectories of a smooth control affine system» , Systems & Control Letters, Vol. 36, pp. 143--149 , 1999.
L. FAUBOURG, J.-B. POMET, « Strict control Lyapunov functions for homogeneous Jurdjevic-Quinn type systems», IFAC Nonlinear Control Design Symposium (NOLCOS'98), pp. 823--829.
P. MORIN, J.-B. POMET, C. SAMSON, « Design of homogeneous time-varying stabilizing control laws for driftless systems via oscillatory approximation of Lie brackets in closed loop», SIAM J. on Control & Optimization, Vol. 38, pp. 22--49, 1999.
J.-B. POMET, « On dynamic feedback linearization of four-dimensional affine control systems with two inputs », ESAIM-COCV, Vol. 2, pp. 151-230, june 1997. DOI: 10.1051/cocv:1997107.
In : Geometry in Nonlinear Control and Differential Inclusions, Banach Center Publ., vol. 32, 1995
- J.-B. POMET, « A differential geometric setting for dynamic equivalence and dynamic linearization », p. 319-339,
- E. ARANDA-BRICAIRE, C. H. MOOG, J.-B. POMET, «An infinitesimal Brunovský form for nonlinear systems with applications to dynamic linearization », p.19-33
You can download a preprint that combines both.
E. ARANDA-BRICAIRE, C. H. MOOG, J.-B. POMET, « A Linear Algebraic Framework for Dynamic Feedback Linearization », IEEE Trans. on Automatic Control, vol. 40, p. 127–132, 1995. DOI: 10.1109/9.362886
J.-B. POMET, « Remarks on sufficient information for adaptive nonlinear regulation », 31st IEEE Conf. on Decision and Control, Tucson, pp. 1737-1741, 1992.
J.-B. POMET, « Explicit design of Time-varying Stabilizing Control Laws for a Class of Controllable Systems without Drift», Systems & Control Lett., vol. 18, p. 147-158, 1992.
J.-B. POMET, Sur la commande adaptative des systèmes non linéaires, PhD Thesis, defended September 25, 1989.

Last modified: Tue Apr 2 13:35:02 CEST 2013