Finite-dimensional homogeneous boundary control for a 1D reaction-diffusion equation - INRIA - Institut National de Recherche en Informatique et en Automatique
Conference Papers Year : 2024

Finite-dimensional homogeneous boundary control for a 1D reaction-diffusion equation

Abstract

In this paper, we address the problem of finite dimensional boundary stabilization of the 1D reaction-diffusion equation. Using the modal decomposition approach, we propose a finite-dimensional homogeneous controller, stabilizing the unstable dynamics while ensuring the stability of the residual part. The closed-loop system with homogeneous feedback is well-posed and stable. The proposed controller is proven superior to a finite-dimensional linear feedback controller in terms of closed-loop performance. The numerical simulations are presented to support the analytical results.

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Dates and versions

hal-04695713 , version 1 (12-09-2024)

Identifiers

  • HAL Id : hal-04695713 , version 1

Cite

Mericel Ayamou, Nicolas Espitia, Andrey Polyakov, Emilia Fridman. Finite-dimensional homogeneous boundary control for a 1D reaction-diffusion equation. 63rd IEEE Conference on Decision and Control (CDC 2024), Dec 2024, Milan (Italie), France. ⟨hal-04695713⟩
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