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Control of physical processes described by partial differential equations


The evolution of many physical phenomena could be described by mathematical models based on a set of partial differential equations (PDE). The advantage of such models is that they make it possible to envisage simultaneously controlling an infinity of dynamics. Controlling and stabilizing the physical processes described by PDE systems requires multidisciplinary study and is one of the most in-depth research in recent decades. There are now many techniques for controlling such systems and it is important to study these approaches in relation to complex processes.

I have studied such topics related to the control and identification of physical systems described by PDE for many years. The following processes have been investigated more specifically.

  • ConFuNuc: Control of nuclear fusion. Development of theoretical approaches and numerical methods to control the evolution of the safety profile in a nuclear fusion plasma. The following references could be considered:

    • 115. Gaye O., Autrique L., Orlov Y., Moulay E., Brémond S., Nouailletas R., H∞ stabilization of the current profile in tokamak plasmas via LMI approach, Automatica, Vol. 49, n°9, pp. 2795-2804, 2013.

    • 112. Gaye O., Moulay E., Brémond S., Autrique L., Nouailletas R., Artaud J.F., Orlov Y., Robust stabilization of the current profile in tokamak plasmas using sliding mode approach in infinite dimension, Control engineering practice, Vol. 21, n°10, pp. 1350-1358, 2013.



  • Prediction of burns injuries caused by laser occurrences. In such a framework the main objective is to quantify the damage on human skin in order to optimize the protections. The following references could be considered:

    • 132. Sonneck-Museux N., Scheer E., Perez L., Autrique L., Agay D., Development of a Skin Burn Predictive Model adapted to Laser irradiation, International Journal of Thermophysics, 37 n°12, pp 1-23, 2016.

    • 102. Museux N, Perez L., Autrique L., Agay D., Skin burns after laser exposure: histological analysis and predictive simulation, Burns, Vol. 38, n°5, pp. 658-667, 2012.
  • Optimization of intumescent coatings. Considering accidental fires and the effect of BLEVE (boiling liquid expanding vapor explosion), it is crucial to improve the systems protection. The following reference could be considered:

    • 144. M., Perez L., Autrique L., A model based predictive tool for fire safety intumescent coatings design, Fire Safety Journal, 110; 2019.

Laurent Autrique, LARIS, Polytech’ Angers
62 avenue notre dame du lac, 49000 Angers
Phone : +33 244 687 518 | laurent.autrique at univ-angers.fr

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