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Communication Dans Un Congrès Année : 2021

Regulation of a reaction-diffusion equation with bounded observation

Résumé

This paper solves a regulation problem for a reaction-diffusion equation. More precisely, for a given bounded observation, we design a boundary controller so that the setpoint output of the equation converges to a prescribed reference signal. The control law is finite-dimensional and is obtained by coupling a pole-placement control law with an observer. The proofs are based on a Lyapunov function and relies on the properties of Sturm-Liouville operators.
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Dates et versions

hal-03299659 , version 1 (27-07-2021)

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Hugo Lhachemi, Christophe Prieur. Regulation of a reaction-diffusion equation with bounded observation. CT 2021 - SIAM Conference on Control and its Applications, Jul 2021, Virtual Conference, United States. pp.78-85, ⟨10.1137/1.9781611976847.11⟩. ⟨hal-03299659⟩
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