MATHMOD 2022 Discussion Contributions

Boundary control of infinite dimensional irreversible port-Hamiltonian systems: the heat equation

ARGESIM Report 17 (ISBN 978-3-901608-95-7), p 93-94, DOI: 10.11128/arep.17.a17207

Abstract

In this discussion paper we consider the (boundary) control of irreversible thermodynamic systems using the irreversible port Hamiltonian framework. We first show how infinite dimensional port-Hamiltonian formulations initially derived for reversible systems have been extended to the modelling of irreversible thermodynamic systems controlled at the boundaries of their spatial domains. In a second instance we show, on the heat equation example, how to adapt the well known control by interconnection and damping injection method to the boundary control of this particular class of systems.