Work

Generic model control of diffusion-reaction systems

Year: 2025

Type: article

Abstract: Late lumping controller design for distributed parameter systems presents a significant challenge. This paper extends the generic model control technique to diffusion-reaction systems governed by semilinear parabolic equations, focusing on controlling an output defined as a spatially weighted average of the system state. Both distributed and boundary control approaches are thoroughly investigated. While the design for distributed control is straightforward, boundary control necessitates the use of the extended operator concept. This concept allows to convert the boundary control problem into a pointwise one, a particular case of distributed control, which simplifies the controller design. The effectiveness of the proposed controllers in tracking and disturbance rejection is validated through numerical simulations using a case of a heated rod.

Source: IFAC-PapersOnLine

DOI: 10.1016/j.ifacol.2025.08.004

Authors: A. Maidi, R. Paulen, J.-P. Corriou

Institutions: Mouloud Mammeri University of Tizi-Ouzou, Slovak University of Technology in Bratislava, Centre National de la Recherche Scientifique, Laboratoire Réactions et Génie des Procédés, Université de Lorraine

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: European Commission

Awards: Fostering Opportunities Towards Slovak Excellence in Advanced Control for Smart Industries, G952296899