Global exponential set-point regulation for linear operator semigroups with input saturation

Daniele Astolfi (1, 2) , Swann Marx (3, 1) , Vincent Andrieu (2) , Christophe Prieur (4)

1 CNRS - Centre National de la Recherche Scientifique
2 LAGEPP - Laboratoire d'automatique, de génie des procédés et de génie pharmaceutique
3 LS2N - Laboratoire des Sciences du Numérique de Nantes
4 GIPSA-INFINITY - GIPSA - Infinite Dimensional Dynamics

In this paper the problem of set-point regulation of linear operator semigroups is considered, in presence of saturation of the control input. It is shown how global exponential stability can still be obtained by adding an anti-windup loop to the integral action. As first contribution towards the solution of this regulation problem, we give some new results related to the characterization of global exponential stability of the equilibrium of a subclass of semi-linear dynamical systems.

Mots clés: Linear systems; Sufficient conditions; Stability; Regulation; Generators; Control theory; Dynamical systems

Domaines: Automatique

Daniele Astolfi, Swann Marx, Vincent Andrieu, Christophe Prieur. Global exponential set-point regulation for linear operator semigroups with input saturation. CDC 2022 - 61st IEEE Conference on Decision and Control, IEEE, Dec 2022, Cancun, Mexico. pp.7358 - 7363, ⟨10.1109/CDC51059.2022.9993082⟩. ⟨hal-04005700⟩