Implicit integral equations for modeling systems with a transport delay

Delphine Bresch-Pietri (1) , Nicolas Petit (2)

1 GIPSA-SLR - GIPSA - Systèmes linéaires et robustesse
2 CAS - Centre Automatique et Systèmes

In this chapter, we present a particular class of transport delay systems (e.g. systems involving transportation of material), in which the delay is definedthrough an implicit integral equation. To illustrate the practical interest of this class, experimental use of such models is presented for two different examples of physical systems, both from the field of automotive gasoline engines (specifically, exhaust gas recirculation and exhaust catalyst thermal dynamics). We also discuss related control challenges, together with some solutions

Mots clés: delay systems; modeling; transport; automotive

Domaines: Systèmes et contrôle [cs.SY]

Delphine Bresch-Pietri, Nicolas Petit. Implicit integral equations for modeling systems with a transport delay. E. Witrant; E. Fridman; O. Sename; L. Dugard. Recent results on time-delay systems: analysis and control, 5, , 2016, Analysis and Control, 978-3-319-26367-0. ⟨10.1007/978-3-319-26369-4_1⟩. ⟨hal-01384486⟩