Work

Robust Boundary Output-Feedback Control of a Reaction-Diffusion Equation with In-Domain Disturbances

Year: 2025

Type: article

Abstract: Output feedback control design for a class of reaction-diffusion equations with Dirichlet anti-collocated sensing and actuation subject to in-domain disturbances is addressed. Within this setting, we design a finite-dimensional dynamic output feedback controller ensuring closed-loop exponential stability and input-output stability with an explicit estimate of the input-output gain. The approach is based on the spectral decomposition of the open-loop infinite-dimensional system and on the use of a suitable Lyapunov functional candidate. Sufficient conditions in the form of matrix inequalities are given to ensure closed-loop stability. These conditions are shown to be always feasible and are employed to devise an optimal controller design algorithm based on the solutions to some linear matrix inequalities.

Source: Journal of Optimization Theory and Applications

DOI: 10.1007/s10957-025-02724-2

Authors: Francesco Ferrante, Suha Shreim, Christophe Prieur

Institutions: University of Perugia, Institut polytechnique de Grenoble, Centre National de la Recherche Scientifique, GIPSA-Lab

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Agence Nationale de la Recherche, Università degli Studi di Perugia