Nicolas Petit



 

Professeur

Directeur du Centre Automatique et Systèmes
Unité Mathématiques et Systèmes

MINES ParisTech
60, bd Saint-Michel 
75272, PARIS CEDEX 06 
FRANCE 
nicolas.petit(at)mines-paristech.fr

  • Former student of the École Polytechnique X92 
  • PhD in Mathematics and Control, École des Mines de Paris 2000
  • Postdoctoral Scholar - Control and Dynamical Systems - California Institute of Technology. 2000-2001
  • Habilitation à diriger des recherches en Mathématiques. Université Pierre et Marie Curie. Paris 6. Janvier 2007
  • Co-founder of the startup company Sysnav recipient of the Concours OSEO 2009

Projects

Students

Publications

Teaching

Editorship



Projects


Autonomous air vehicles
Constrained optimal trajectory generation

HCCI Diesel and Variable Valve Timing Engine Control
Artificial Bird
Rotary wing UAV
Distributed magnetometry positioning
and navigation systems
Post-treatment for automotive engines
Blending systems
Process control
Oil wells modeling and control


Students PhD-candidates

Delphine Bresch-Pietri Pierre-Jean Bristeau  
Florent Di Meglio Eric Dorveaux  

Former graduate students

  • Laure Sinègre, Sept. 2006 thesis
  • Julien Barraud, Sept. 2006 thesis
  • Jonathan Chauvin (joint with P. Rouchon), Sept. 2006 thesis, Awarded ParisTech Best PhD 2007.
  • David Vissière, June 2008 thesis, Awarded ParisTech Best PhD 2009.
  • Olivier Lepreux, Oct. 2009 thesis
  • Mathieu Hillion, Dec. 2009
  • Thomas Leroy, March 2010

Visitors

Fady Assassa 06.08 - 12.08 (RWTH Aachen)
Eric Dorveaux 04.08 - 09.08 (Supelec)
Clément Ponssard 05.08 - 07.08 (ENSTA)
Olivier Renaud 05.08 - 07.08 (ENSTA)
Pierre-Jean Bristeau 04.07 - 09.07 Awarded Grand Prix d'Option de l'Ecole Polytechnique 2007 (joint with David Vissière, École Polytechnique) 04.08 - 09.08 (SupAero)
Knut Graichen 01.07 - 12.07 postdoc (ISD, University of Stuttgart)
Dong Eui Chang 10.03 - 11.04 postdoc (CDS - CalTech)
Domitilla Del Vecchio 09.03 - 11.03 (CDS - CalTech)
William Dunbar 05.02 - 07.02 (CDS - CalTech)
Oskar Nilsson 04.03 - 08.03 (Lund LTH)
Tobias Neckel 04.03 - 08.03 (École Polytechnique)


Publications

Journals

  1. P.-J. Bristeau, E. Dorveaux, D. Vissière and N. Petit, "Hardware and software architecture for state estimation on an experimental low-cost small-scaled helicopter", in Control Engineering Practice (to appear), 2010.
  2. M. Chèbre, Y. Creff and N. Petit, "Feedback control and optimization for the production of commercial fuels by blending", in Journal of Process Control, (to appear), 2010.
  3. J. Chauvin and N. Petit, "Reconstruction of the Fourier expansion of inputs of linear time-varying systems", in Automatica, Vol. 46, pp. 354-361, 2010.
  4. J. Barraud, Y. Creff and N. Petit, "pH control of a fed batch reactor with precipitation", in Journal of Process Control. Vol. 19, pp. 888-895. 2009. (pdf)
  5. T. Leroy, J. Chauvin and N. Petit, "Motion planning for experimental airpath control of a VVT SI Engine", in Control Engineering Practice. Vol 17, pp. 1432-1439. 2009. (pdf)
  6. K. Graichen and N. Petit "Incorporating a class of constraints into the dynamics of optimal control problems", (in press) in Optimal Control, Applications and Methods. 2009. (pdf)
  7. K. Graichen and N. Petit "Constructive Methods for Initialization and Handling Mixed State-Input Constraints in Optimal Control", in AIAA Journal of Guidance, Control, and Dynamics Vol. 31, No. 5, pp 1334-1343. 2008 (pdf)
  8. J. Chauvin, G. Corde, N. Petit and P. Rouchon, "Motion planning for experimental airpath control of a Diesel homogeneous charge-compression ignition engine", in Control Engineering Practice.Vol. 16, Issue 9, pp 1081-1091. 2008 (pdf)
  9. F. Chaplais and N. Petit, "Inversion in indirect optimal control of multivariable systems", ESAIM: Control, Optimisation and Calculus of Variations. Vol. 14, pp. 294-317. 2008. (pdf)
  10. J. Chauvin, G. Corde, N. Petit and P. Rouchon, "Periodic input estimation for linear periodic systems: automotive engine applications", in Automatica. Vol. 43, No. 6, pp 971--980. 2007. (pdf)
  11. D. E. Chang, N. Petit and P. Rouchon, "Time-optimal control of a particle in a dielectrophoretic system", in IEEE Tr. Automatic Control. Vol. 51, No. 7, pp 1100-1114. 2006. (pdf)
  12. J. Chauvin, G. Corde, Ph. Moulin, N. Petit and P. Rouchon, "High Frequency Individual Cylinder Estimation for Control of Diesel Engines", in Oil and Gas Technology, Vol. 61, No. 1, pp 57-72. 2006. (pdf)
  13. D. E. Chang and N. Petit, "Toward Controlling Dielectrophoresis", in International Journal of Robust and Nonlinear Control, special issue on “Nanotechnology and Control” Vol. 15, Issue 16, pp 769-784. 2005. (pdf)
  14. D. Del Vecchio and N. Petit,"Boundary Control for an Industrial Under-actuated Tubular Chemical Reactor", in Journal of Process Control. Vol 15, Issue 7, pp 771-784. 2005. (pdf)
  15. J.-Y. Dieulot, N. Petit, P. Rouchon and G. Delaplace,"An arrangement of ideal zones with shifting boundaries as a way to model mixing processes in unsteady stirring conditions in agitated vessels", in Chemical Engineering Science, Vol. 60/20, pp 5544-5554. 2005. (pdf)
  16. J.-Y. Dieulot, N. Petit, P. Rouchon and G. Delaplace,"A torus model containing a sliding well-mixed zone as a way to represent mixing process at unsteady stirring conditions in agitated vessels", in Chemical Engineering Communications, Vol 192, pp 805-826. 2005. (pdf)
  17. W. B. Dunbar, N. Petit, P. Rouchon, Ph. Martin, "Motion Planning for a nonlinear Stefan Problem", ESAIM: Control, Optimisation and Calculus of Variations. Vol 9, pp. 275--296. 2003. (pdf)
  18. N. Petit and P. Rouchon, "Dynamics and Solutions to some Control Problems for Water-tank Systems" , IEEE Tr. Automatic Control. Vol 47, No. 4, pp. 594-609. 2002. (pdf)
    [Matlab code for Real-time motion planning of the Circular Tank]
  19. N. Petit, P. Rouchon, J.-M. Boueilh, F. Guérin and Ph. Pinvidic,"Control of an Industrial Polymerization Reactor Using Flatness", in Journal of Process Control. Vol 12, pp 659-665. 2002. (pdf) Journal of Process Control PAPER PRIZE: Best article 2002-2005 (Application).
  20. N. Petit and P. Rouchon, "Flatness of Heavy Chain Systems", SIAM J. of Control and Optimization. Vol 40, No. 2, pp. 475-495. 2001. (pdf) (ps.zip) (ps)
    [ Matlab code for Real-time motion planning of a pair of curtains (derived from preceding paper)]
  21. N. Petit, Y. Creff and P. Rouchon,"Minimum Time Constrained Control of Acid Strength on a Sulfuric Acid Alkylation Unit", Chemical Engineering Science. Vol 56/8, pp 2767-2774. 2001. (pdf)
  22. M. Petit and N. Petit,"The search of chaotic attractor in mental diseases", in Annales Médico-psychologiques, Vol 151 (10), pp 701-705. 1993.

Conferences

  1. T. Leroy, J. Chauvin, and N. Petit, "Transient Burned Gas Rate Control on VVA equipped Diesel Engines", in 6th IFAC Symposium Advances in Automotive Control 2010 (to appear)
  2. F. Di Meglio, G.-O. Kaasa, N. Petit, and V. Alstad, "Model-based control of slugging flow: an experimental case study", in Proc. of the American Control Conference 2010 (to appear)
  3. E. Dorveaux, D. Vissière, and N. Petit, "On-the-field calibration of an array of sensors", in Proc. of the American Control Conference 2010 (to appear)
  4. F. Di Meglio, G.-O. Kaasa, and N. Petit, "A first principle model for multiphase slugging flow in vertical risers", in Proc. of the 48th IEEE Conf. on Decision and Control 2009 (pdf)
  5. E. Dorveaux, D. Vissière, A. P. Martin, N. Petit, "Iterative calibration method for inertial and magnetic sensors", in Proc. of the 48th IEEE Conf. on Decision and Control 2009 (pdf)
  6. P.-J. Bristeau, and N. Petit, "Trajectory estimation for a hybrid rocket", in 2009 AIAA Guidance, Navigation and Control Conference (to appear)
  7. M. Hillion, J. Chauvin, and N. Petit,"Combustion control of an HCCI Diesel engine with cool flame phenomenon", in Proc. of European Control Conference 2009 (pdf)
  8. T. Leroy , J. Chauvin, and N. Petit,"Controlling In-cylinder Composition on Turbocharged Variable-Valve-Timing Spark Ignition Engines", in Proc. of European Control Conference 2009 (pdf)
  9. O. Lepreux, Y. Creff, and N. Petit,"Warm-up Strategy for a Diesel Oxidation Catalyst", in Proc. of European Control Conference 2009 (pdf)
  10. C. Ponssard, K. Graichen, N. Petit and J. Laurent-Varin,"Ascent optimization for a heavy space launcher ", in Proc. of European Control Conference 2009 (pdf)
  11. P.-J. Bristeau, Ph. Martin, E. Salaun, and N. Petit,"The role of propeller aerodynamics in the model of a quadrotor UAV", in Proc. of European Control Conference 2009 (pdf)
  12. O. Lepreux, Y. Creff, and N. Petit,"Model-based Control Design of a Diesel Oxidation Catalyst", in Proc. of the ADCHEM 2009, International Symposium on Advanced Control of Chemical Processes 2009 (pdf)
  13. M. Hillion, H. Buhlbuck, J. Chauvin, and N. Petit,"Combustion Control of Diesel Engines Using Injection Timing", in Proc. of Society Automotive Engine World Congress 2009 (pdf)
  14. T. Leroy, M. Bitauld, J. Chauvin, and N. Petit,"In-cylinder Burned Gas Rate Estimation and Control on VVA Diesel Engines", in Proc. of Society Automotive Engine World Congress 2009 (pdf)
  15. E. Dorveaux, D. Vissière, A. P. Martin, and N. Petit, "Timestamping for an array of low-cost sensors" in Proc. of the IFAC workshop on programmable devices and embedded systems 2009 (pdf)
  16. K. Graichen, N. Petit, A. Kugi, "Transformation of optimal control problems with a state constraint avoiding interior boundary conditions" in Proc. of the 47th IEEE Conf. on Decision and Control 2008 (pdf)
  17. M. Hillion , J. Chauvin, and N. Petit, "Open-loop Combustion control of a Spark-Ignited Engine", in Proc. of the 47th IEEE Conf. on Decision and Control 2008 (pdf)
  18. T. Leroy, J. Chauvin, and N. Petit, "Controlling Air and Burned Gas Masses of Turbocharged VVT SI Engines", in Proc. of the 47th IEEE Conf. on Decision and Control 2008 (pdf)
  19. M. Hillion , J. Chauvin, and N. Petit, "Controlling the start of combustion on an HCCI Diesel engine", in Proc. of American Control Conference 2008 (pdf)
  20. O. Lepreux, Y. Creff, and N. Petit, "Motion Planning for a Diesel Oxidation Catalyst Outlet Temperature", in Proc. of American Control Conference 2008 (pdf)
  21. T. Leroy, J. Chauvin, and N. Petit, "Airpath Control of a SI Engine with Variable Valve Timing Actuators", in Proc. of American Control Conference 2008 (pdf)
  22. D. Vissière, and N. Petit, "An embedded system for small-scaled autonomous vehicles", in Proc. of the 5th International Conference on Informatics in Control, Automation and Robotics (ICINCO) 2008 (pdf)
  23. K. Graichen, N. Petit, "A continuation approach to state and adjoint calculation in optimal control applied to the reentry problem", in Proc. of the 2008 IFAC World Congress (pdf)
  24. K. Graichen, N. Petit, "Solving the Goddard problem with thrust and dynamic pressure constraints using saturation functions", in Proc. of the 2008 IFAC World Congress (pdf)
  25. D. Vissière, P.-J. Bristeau, A. P. Martin, N. Petit, "Experimental autonomous flight of a small-scaled helicopter using accurate dynamics model and low-cost sensors", in Proc. of the 2008 IFAC World Congress (pdf)
  26. M. Hillion, J. Chauvin, O. Grondin and N. Petit,"Active Combustion Control of Diesel HCCI Engine: Combustion Timing", in Proc. of Society Automotive Engine World Congress 2008 (pdf)
  27. D. Vissière, A. Martin, and N. Petit, "Using spatially distributed magnetometers to increase IMU-based velocity estimation in perturbed areas", in Proc. of the 46th IEEE Conf. on Decision and Control 2007 (pdf)
  28. F. Chaplais and N. Petit, "Inversion in indirect optimal control: constrained and unconstrained cases", in Proc. of the 46th IEEE Conf. on Decision and Control 2007 (pdf)
  29. J. Chauvin, and N. Petit, "Experimental control of Variable Cam Timing actuators", in Proc. of the Fifth IFAC Symposium on Advances in Automotive Control 2007 (pdf)
  30. J. Chauvin, A. Albrecht, G. Corde, and N. Petit, "Modeling and control of a Diesel HCCI engine", in Proc. of the Fifth IFAC Symposium on Advances in Automotive Control 2007 (pdf)
  31. T. Leroy, J. Chauvin, G. Corde, and N. Petit, "Motion planning control of the airpath of a S.I. engine with Valve Timing Actuators", in Proc. of the Fifth IFAC Symposium on Advances in Automotive Control 2007 (pdf)
  32. D. Vissière, A. Martin, and N. Petit, "Using magnetic disturbances to improve IMU-based position estimation", in Proc. of European Control Conference 2007 (pdf)
  33. D. Vissière, D. E. Chang, and N. Petit, "Experiments of trajectory generation and obstacle avoidance for a UGV", in Proc. of American Control Conference 2007 (pdf)
  34. J. Chauvin, G. Corde, and N. Petit, "Transient control of a Diesel engine airpath", in Proc. of American Control Conference 2007 (pdf)
  35. J. Chauvin, G. Corde, and N. Petit, "Constrained motion planning for the airpath of a Diesel HCCI engine", in Proc. of the 45th IEEE Conf. on Decision and Control 2006 (pdf)
  36. J. Chauvin, G. Corde, Ph. Moulin, N. Petit and P. Rouchon,"Kalman Filtering for Real-Time Individual Cylinder Air Fuel Ratio Observer on a Diesel Engine Test Bench", in Proc. of American Control Conference 2006 (pdf)
  37. J. Chauvin, G. Corde, N. Petit and P. Rouchon,"Experimental Motion Planning in Airpath Control for HCCI engine", in Proc. of American Control Conference 2006 (pdf)
  38. L. Sinègre, N. Petit and P. Ménégatti,"Predicting instabilities in gas-lifted wells simulation", in Proc. of American Control Conference 2006 (pdf)
  39. L. Sinègre, N. Petit and T. Saint-Pierre, "Active control strategy for density-wave in gas-lifted wells", in Proc. of the ADCHEM 2006, International Symposium on Advanced Control of Chemical Processes (pdf)
  40. J. Chauvin, N. Petit, P. Rouchon and G. Corde,"Periodic Input Observer Design: Application for Imbalance Diagnosis", in Proc. of Society Automotive Engine World Congress 2006 (pdf)
  41. J. Chauvin, N. Petit, P. Rouchon, Ph. Moulin, and G. Corde,"Six Degrees Crankshaft Individual Air Fuel Ratio Estimation of Diesel Engines for Cylinder Balancing Purpose", in Proc. of Society Automotive Engine World Congress 2006 (pdf)
  42. J. Chauvin, N. Petit, P. Rouchon, G. Corde and C. Vigild,"Air Path Estimation on Diesel HCCI Engine", in Proc. of Society Automotive Engine World Congress 2006 (pdf)
  43. L. Sinègre, N. Petit and P. Ménégatti, "Distributed delay model for density wave dynamics", in Proc. of the 44th IEEE Conf. on Decision and Control 2005 (pdf)
  44. L. Sinègre, N. Petit, P. Lemétayer, P. Gervaud and P. Ménégatti, "Casing-heading phenomenon in gas-lifted well as a limit cycle of a 2D model with switches", in Proc. of the 2005 IFAC World Congress (pdf)
  45. J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N.Petit and P. Rouchon, "Real-Time Nonlinear Individual Cylinder Air Fuel Ratio Observer on a Diesel Engine",in Proc. of the 2005 IFAC World Congress (pdf)
  46. D. E. Chang, N. Petit and P. Rouchon,"Time-optimal control of a particle in a dielectrophoretic system", in Proc. of the 2005 IFAC World Congress (pdf)
  47. J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N. Petit and P. Rouchon,"Real-Time Combustion Torque Estimation on a Diesel Engine Test Bench Using Time-Varying Kalman Filtering",in Proc. of the 43rd IEEE Conf. on Decision and Control 2004 (pdf)
  48. J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N. Petit and P. Rouchon,"Real-Time Combustion Torque Estimation on a Diesel Engine Test Bench Using an adaptive Fourier Basis Decomposition", in Proc. of the 43rd IEEE Conf. on Decision and Control 2004 (pdf)
  49. J. Barraud, Y. Creff and N.Petit, "PI Controllers Performance for a Process Model with varying delay", in Proc. of UKACC Int. Control Conference 2004 (pdf)
  50. J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N.Petit and P. Rouchon,"Observer Design for Torque Balancing on a DI Engine", in Proc. of Society Automotive Engine World Congress 2004 (pdf)
  51. J. Chauvin, G. Corde, Ph. Moulin, M. Castagné, N. Petit and P. Rouchon,"Time-varying Linear Observer for Torque Balancing on a DI Engine", in Proc. of the 1st IFAC Symp. on Advances in Automotive Control 2004 (pdf)
  52. T. Neckel, Ch. Talbot, and N. Petit,"Collocation and inversion for a reentry optimal control problem", in Proc. of the 5th Intern. Conference on Launcher Technology. 2003 (pdf)
  53. F. Chaplais, and N. Petit,"Inversion in indirect optimal control",in Proc. of the 7th European Control Conf. 2003 (pdf)
  54. W. B. Dunbar, N. Petit, P. Rouchon, Ph. Martin, "Boundary control for a nonlinear Stefan Problem", in Proc. of the 42nd IEEE Conf. on Decision and Control. 2003 (pdf)
  55. N. Petit, M. B. Milam, and R. M. Murray,"A new computational method for Optimal Control of a Class of Constrained Systems Governed by Partial Differential Equations", in Proc. of the 2002 IFAC World Congress. (pdf)
  56. N. Petit and P. Rouchon, "Flatness of Heavy Chain Systems",in Proc. of the 41st IEEE Conf. on Decision and Control. 2002 (pdf)
  57. N. Petit, M. B. Milam, and R. M. Murray, "Inversion Based Trajectory Optimization", in 2001 IFAC Symposium on Nonlinear Control Systems Design. (pdf)
  58. M. B. Milam, N. Petit, and R. M. Murray, "Constrained Trajectory Generation for Micro-satellite Formation Flying", in 2001 AIAA Guidance, Navigation and Control Conference. (pdf)
  59. M. Fliess, Ph. Martin, N. Petit and P. Rouchon, "Active Restoration of a Signal by Precompensation Technique", in Proc. of the 38th IEEE Conf. on Decision and Control. 1999 (pdf)
  60. F. Dubois, N. Petit, and P. Rouchon,"Motion Planning and Nonlinear Simulations for a Tank Containing a Fluid", in Proc. of the 5th European Control Conf. 1999. (pdf)
  61. N. Petit, Y. Creff and P. Rouchon,"Motion Planning for Two Classes of Nonlinear Systems with Delays Depending on the Control", in Proc. of the 37th IEEE Conf. on Decision and Control. 1998. (pdf)
  62. N. Petit, Y. Creff and P. Rouchon, "Delta-Freeness of a Class of Linear Systems", in Proc. of the 4th European Control Conf. 1997. (pdf)

Book chapters

  1. R. M. Murray, J. Hauser, A. Jadbabaie, M. B. Milam, N. Petit, W. B. Dunbar and R. Franz,"Online control customization via optimization-based control", chapter in "Software-Enabled Control, Information technology for dynamical systems" (eds) T. Samad , G. Balas, pp 149-174, Wiley-Interscience, 2003
  2. N. Petit and P. Rouchon,"Motion planning for heavy chain systems", in "Lecture Notes in Control and Information Sciences 259: Nonlinear Control in the Year 2000" (eds.) A. Isidori and F. Lamnabhi-Lagarrigue and W. Respondek , pp 229-236 , Springer, 2000
  3. N. Petit, P. Rouchon, J.-M. Boueilh, F. Guérin, P. Pinvidic,"Control of an industrial polymerization reactor using flatness", in "Lecture Notes in Control and Information Sciences 259: Nonlinear Control in the Year 2000" (eds.) A. Isidori and F. Lamnabhi-Lagarrigue and W. Respondek , pp 237-244 , Springer, 2000

Misc.

  • J. Chauvin, G. Corde, N. Petit and P. Rouchon, "Airpath strategy for experimental control of a Diesel HCCI Engine", in E-COSM – Rencontres Scientifiques de l’IFP – 2-4 Octobre 2006, Proceedings, pp. 111-119, 2006 (pdf)
  • J. Chauvin, G. Corde, N. Petit and P. Rouchon,"Filtre de Kalman ou observateur de Luenberger nonlinéaire? Comparaison expérimentale sur des exemples issus du contrôle moteur", in Conférence Internationale Francophone d'Automatique 2006
  • N. Petit and P. Rouchon, "Théorie du contrôle non linéaire", in Science et Info Prépas Hors-Série 4, Tangente Sup Sciences POLE, pp. 60-67, 2002
  • M. B. Milam and N. Petit,"Constrained Trajectory Generation for a Planar Missile", Research report, California Institute of Technology, Control and Dynamical Systems, 2001
  • N. Petit, "Delay Systems. Flatness in Process Control and Control of some Wave Equations". PhD Dissertation, Ecole des Mines de Paris. (pdf) (ps.zip) (ps)

Industrial applications

  • ANAMEL V4-V5 software algorithm for blending systems (TOTAL industrial blending device control software), read more. TOTAL refineries: Donges (F), Feyzin (F), Grandpuits (F), Leuna (D)
  • Plug flow reactor ATOFINA Polystyrene Carling (F)
  • CSTR reactor APPRYL PP2 Polypropylene Lavéra (F)
  • Acid Strength controler on a Sulfuric Acid Alkylation at Feyzin refinery

Teaching

  • École Nationale Supérieure des Mines de Paris :
    • Graduate Automatic Control course (2005-)
    • Graduate Optimization course (2003-)
    • Graduate Control classes (1998-2000, 2001-2005)
    • Graduate Probability classes (2002-2005)
  • École Nationale Supérieure de Techniques Avancées :
  • École Centrale Paris :
  • California Institute of Technology :
  • Paris Sud Orsay University :
    • Undergraduate Functional Analysis (1996-1999)

Editorship

Associate Editor for Automatica since 2006

 

 

 

 

CAS