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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
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- 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
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 |
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| Florent Di Meglio |
Eric Dorveaux |
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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
-
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.
-
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.
-
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.
-
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)
-
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)
- 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)
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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)
-
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)
-
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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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]
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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).
-
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)]
-
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)
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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
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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)
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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)
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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)
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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)
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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)
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P.-J.
Bristeau, and N. Petit, "Trajectory estimation for a
hybrid rocket", in 2009 AIAA Guidance, Navigation and
Control Conference (to appear)
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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)
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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)
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O.
Lepreux, Y. Creff, and N. Petit,"Warm-up
Strategy for a Diesel Oxidation Catalyst", in Proc. of European
Control Conference 2009 (pdf)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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O.
Lepreux, Y. Creff, and N. Petit, "Motion Planning for a Diesel
Oxidation Catalyst Outlet Temperature", in Proc. of American
Control Conference 2008 (pdf)
-
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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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D.
Vissière, A. Martin, and N. Petit, "Using magnetic disturbances
to improve IMU-based position estimation", in Proc. of European
Control Conference 2007 (pdf)
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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)
-
J.
Chauvin, G. Corde, and N. Petit, "Transient control of a Diesel
engine airpath", in Proc. of American Control Conference 2007
(pdf)
-
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)
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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)
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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)
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L.
Sinègre, N. Petit and P. Ménégatti,"Predicting
instabilities in gas-lifted wells simulation", in Proc. of
American Control Conference 2006 (pdf)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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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)
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F.
Chaplais, and N. Petit,"Inversion in indirect optimal control",in
Proc. of the 7th European Control Conf. 2003 (pdf)
-
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)
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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)
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N. Petit and P. Rouchon, "Flatness of Heavy Chain Systems",in
Proc. of the 41st IEEE Conf. on Decision and Control. 2002 (pdf)
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N.
Petit, M. B. Milam, and R. M. Murray, "Inversion Based Trajectory
Optimization", in 2001 IFAC Symposium on Nonlinear Control
Systems Design. (pdf)
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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)
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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)
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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)
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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)
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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
-
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
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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
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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
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