News

• Sept 2025: I Defended my Ph.D. thesis in Mathematics and Applications and started as teaching and researcher assistant.
• Jul 2025: The paper Synthesis of Optimal Control Under State Constraints for Crop Fertigation was accepted to JOTA!

Research

I'm interested in optimization, automatic and optimal control theory, particularly as applied to biology and economic.

PhD Thesis

The work aims to develop control methods to pilot an original system of three interconnected bioreactors to reuse wastewater in agriculture. More particularly, it is a problem called "setpoint tracking", such "setpoint" being the result of the resolution of an optimal control problem solved using a crop irrigation model. However, optimal solutions should be expressed as feedback that depends on the nitrogen in the soil, which a priori is not available. Another difficulty is related to the various uncertainties in the model parameters. We propose to bring concrete answers to these challenges by designing the so-called "adaptive observer" for the joint estimation of nitrogen and uncertain parameters.

Publications

Synthesis of Optimal Control Under State Constraints for Crop Fertigation.

Development of a robust adaptive observer for nonlinear time-varying systems applied to fertigation models.

Introduction of practical observability concepts for nonlinear systems under bounded disturbances with application to fertigation.

Formulation of minimal water consumption strategies under viability constraints for fertigation systems.

Design of an adaptive observer for time-varying nonlinear systems with application to crop irrigation control.

Communications

Presentation of an optimal control approach minimizing water use in fertirrigation systems under viability constraints.

Presentation of theoretical and numerical results showing how viability theory can inform optimal fertigation practices.

Presentation of water-saving control strategies ensuring crop viability under agronomic and environmental constraints.

Discussion of optimization-based fertigation practices and their implementation through viability-theoretic frameworks.

Presentation of ongoing work on nitrogen management and optimization under water reuse constraints.

Teaching

Course Content:
1) Introduction and Basic Concepts, multivariable functions, level sets, parametric curves.
2) Parametric Curves, analysis, curvature, and length.
3) Geometry and Topology in ℝⁿ, norms, limits, continuity, topology.
4) Differential Calculus, gradient, Jacobian, Hessian, Taylor expansion.
5) Multiple Integrals, change of variables, double and triple integrals, vector field circulation.

Course Content:
1) Matrices — sum, product, trace, powers.
2) Spaces ℝⁿ and ℂⁿ geometry, dot and cross products, vector subspaces.
3) Linear Systems, Gaussian elimination, homogeneous systems, solution spaces.
4) Invertibility and Determinant properties, matrix inverses.
5) Bases and Linear Mapping, change of basis, representation of linear transformations.
6) Diagonalization, eigenvalues, eigenvectors, characteristic polynomial.
7) Differential Systems, first-order systems, constant coefficients, trajectories in \(\mathbb{R}^n\).

Research Projects

Organization of a one-day conference on Optimization, Modeling, and Control at INRAE Occitanie-Montpellier (upcoming 2025).

Objective: Foster networking, collaboration, and dynamism among young researchers in Applied Mathematics through conferences, workshops, and research-oriented activities.

Work Experience

Research on optimal control and observer design for agricultural fertigation systems, combining control theory, optimization, and viability analysis.

Collaboration on nonlinear observer design and robust adaptive estimation in dynamical systems with applications to environmental modeling.

Worked on control and optimization for dynamical systems under constraints within the Laboratory of Signals and Systems (L2S).

Computer Skills

Languages & Tools: SCILAB, MATLAB, Julia (Control Toolbox), LaTeX

Competences: Numerical optimization, simulation of nonlinear systems, symbolic computation, and document preparation with LaTeX.