Communication Dans Un Congrès Année : 2026

Wildfire Mitigation Using An Aerial Firefighting Vehicle: An Optimal Control Approach

Résumé

This paper is devoted to an optimal control approach for wildfire mitigation using an aerial firefighting vehicle. It is a distributed nonlinear optimal control problem with a moving actuator for a system composed of a nonlinear advection-diffusion PDE and three ODEs. To my knowledge, this approach is completely new. In this paper, the existence of an optimal solution is assumed for the purpose of numerical demonstration. Based on the formal adjoint method, the paper provides the necessary conditions for optimality of the problem and a preliminary discussion on the system well-posedness and the existence of an optimal solution. It also describes the descent method used to compute a numerical solution. Finally, a case study shows very promising preliminary results.

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Dates et versions

hal-05452056 , version 1 (10-01-2026)

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Didier Georges. Wildfire Mitigation Using An Aerial Firefighting Vehicle: An Optimal Control Approach. CDC 2025 - 64th IEEE Conference on Decision and Control, Dec 2025, Rio de Janeiro, Brazil. pp.1907-1912, ⟨10.1109/CDC57313.2025.11312545⟩. ⟨hal-05452056⟩
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