Communication Dans Un Congrès Année : 2025

Stability analysis and design of an event-triggered control scheme for a coupled ODE-heat PDE system. ⋆

Résumé

This paper tackles the stability analysis of a system driven by linear ordinary differential equation coupled to a one-dimensional heat equation. The particularity of this study concerns the nature of the coupling, which is performed using an event-triggered scheme, through a boundary condition of the partial differential equation. After proving the existence and regularity of solutions of the system, the idea is to introduce an enriched energy functional as a candidate Lyapunov functional to prove the exponential stability. Actually, we will obtain a sufficient stability condition expressed as a linear matrix inequality to satisfy. This condition is suitable for solving an emulation problem corresponding to the appropriate tuning of the event-triggered control. Our result is finally illustrated with a numerical example.

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hal-05147524 , version 1 (07-07-2025)

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Arthur Thomas, Lucie Baudouin, Alexandre Seuret. Stability analysis and design of an event-triggered control scheme for a coupled ODE-heat PDE system. ⋆. Joint IFAC SSSC/TDS/COSY Conference 2025, Jun 2025, Gif sur Yvette, France. ⟨10.13039/501100011033/⟩. ⟨hal-05147524⟩
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