Work

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

Year: 2024

Type: conference-paper

Abstract: In this paper, we address the problem of finite-dimensional boundary stabilization of the 1 D 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.

Source: Proceedings of the IEEE Conference on Decision & Control, including the Symposium on Adaptive Processes

DOI: 10.1109/cdc56724.2024.10886236

Authors: Mericel Ayamou, Nicolas Espitia, Andrey Polyakov, Emilia Fridman

Institutions: Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université de Lille, Centre de Recherche en Informatique, Signal et Automatique de Lille, Centrale Lille Institut, Tel Aviv University

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403442848

FWCI: 2.746

Cites: 25

Cited by: 4

Related to: 10