Pierre Martinon - Researcher

Team COMMANDS, INRIA Saclay - CMAP Polytechnique
Contact: pierre.martinon[at]inria.fr

Research Field: Numerical methods for Optimal control

Topics: bioreactors, microswimmers, constrast (MRI)

Software tools: Bocop

References

Articles:

- "The Purcell Three-link swimmer: some geometric and numerical aspects related to periodic optimal controls"
    P. Bettiol, B. Bonnard, L. Giraldi, P. Martinon and J. Rouot
    Submitted, 2015.

- "Continuous Optimal Control Approaches to Microgrid Energy Management"
    B. Heymann, J.F. Bonnans, P. Martinon, F. Silva, F. Lanas and G Jimenez-Estevez
    Submitted, 2015.

- "Optimal design of the three-link Purcell swimmer"
    L. Giraldi, P. Martinon and M. Zoppello
    Physical Review E., Vol 91 (2), pp 023012 , 2015. DOI

- "Geometric and numerical methods in the contrast imaging problem in nuclear magnetic resonance"
    B. Bonnard, M. Claeys, O. Cots and P. Martinon
    Acta Applicandae Mathematicae, Vol 135 (1), pp 5-45, 2015. DOI

- "Analysis of a periodic optimal control problem connected to microalgae anaerobic digestion"
    T. Bayen, F. Mairet, P. Martinon and M. Sebbah
    Optimal Control Applications and Methods, Vol 36 (6), pp.750-773, 2015. DOI

- "Getting the most out of it: optimal experiments for parameter estimation of microalgae growth models"
    R. Munoz-Tamayo, P. Martinon, G. Bougaran, F. Mairet and O. Bernard
    Journal of Process Control, Vol 24 (6), pp.991-1001, 2014. DOI

- "A Shooting Algorithm for Optimal Control Problems with Singular Arcs"
    M.S. Aronna, F. Bonnans and P. Martinon
    Journal of Optimization Theory and Applications, Vol 158 (2), pp.419-459, 2013. DOI

- "Initialization of the Shooting Method via the Hamilton-Jacobi-Bellman Approach"
    E. Cristiani and P. Martinon
    Journal of Optimization Theory and Applications, Vol 146 (2), pp.321-346, 2010. DOI

- "Numerical study of optimal trajectories with singular arcs for heavy launcher problems"
    P. Martinon, F. Bonnans, J. Laurent-Varin and E. Trelat
    Journal of Guidance, Control and Dynamics, Vol 32 (1), pp.51-55, 2009. DOI

- "Singular arcs in the generalized Goddard's Problem"
    P. Martinon, F. Bonnans and E. Trelat
    Journal of Optimization Theory and Applications, Vol 139 (2), pp.439-461, 2008. DOI

- "Using switching detection and variational equations for the shooting method"
    J. Gergaud and P. Martinon
    Optimal Control Applications and Methods, Vol 28 (2), pp.95-116, 2007.

- "An application of PL continuation methods to singular arcs problems"
    J. Gergaud and P. Martinon
    Recent Advances in Optimization. Proceedings of the 12th French-German-Spanish Conference on Optimization
    held in Avignon, September 20-24, 2004, Edited by A.Seeger.
    Lectures Notes in Economics and Mathematical Systems, Vol 563, pp.163-186, Springer-Verlag Berlin Heidelberg, 2006.

- "Low thrust minimum-fuel orbital transfer: an homotopic approach"
    J. Gergaud, T. Haberkorn and P. Martinon
    Journal of Guidance, Control and Dynamics, Vol 27 (6) pp.1046-1060, 2004.


Conferences short papers:

- "Design of Optimal Experiments for Parameter Estimation of Microalgae Growth Models"
    R. Munoz-Tamayo, P. Martinon, G. Bougaran, F. Mairet and O. Bernard
    Computer Applications in Biotechnology 2013, Mumbai, India, December 16-18, 2013.

- "Comparison of numerical methods in the contrast imaging problem in NMR"
    B. Bonnard, M. Claeys, O. Cots and P. Martinon
    52nd IEEE Conference on Decision and Control, Florence, Italy, December 10-13, 2013.

- "Controllability and Optimal Strokes for N-link Microswimmer"
    L. Giraldi, P. Martinon and M. Zoppello
    52nd IEEE Conference on Decision and Control, Florence, Italy, December 10-13, 2013.

- "Optimizing the Anaerobic Digestion of Microalgae in a Coupled Process"
    T. Bayen, F. Mairet, P. Martinon and M. Sebbah
    12th European Control Conference, Zurich, Switzerland, July 17-19, 2013.



Technical reports:

- "Bocop - A collection of examples"
    F. Bonnans, D. Giorgi, V. Grelard, S. Maindrault and P. Martinon


PhD Thesis: "Numerical resolution of optimal control problems by a Piecewise Linear continuation method"
Manuscript (in english) Manuscrit (en francais)