Seminari di Automatica e Robotica: Boundary control design for a class of distributed parameter systems

Dettagli

Nel quadro del ciclo di "Seminari di Automatica e Robotica", lunedì 29 novembre, alle ore 15.00, Suha Shreim, Université Grenoble Alpes, GIPSA-lab, Grenoble France, terrà un seminario dal titolo Boundary control design for a class of distributed parameter systems.

Il seminario si terrà in presenza, presso la sala riunioni "Raffaele Balli" del Dipartimento di Ingegneria, e online, tramite la piattaforma Teams al seguente link https://bit.ly/3CQergB.

La partecipazione in presenza sarà nei limiti di capienza massima dell'aula e nel rispetto delle norme covi-19, tra cui quelle sul green-pass.

Abstract: First order hyperbolic systems are partial differential equations (PDEs) that describe systems undergoing time variations in the state on a bounded spatial domain and balanced by in domain production or consumption. Applications include propagation of water in open channels, propagation of current and voltage along transmission lines, and traffic dynamics. The vast and different applications of this type of PDE makes it highly interesting for mathematicians and engineers to study and analyze. Unfortunately, this comes with its challenges. In this seminar, I will discuss the different control methods of such systems with focus on boundary control. Boundary control, while practically feasible, renders the control problem more challenging: achieving stability on the whole domain while having access only at the boundaries. Lyapunov stability tools are used to design stabilizing static controllers. Taking into consideration saturation constraints on our controller is necessary to ensure practical feasibility. However, this produces a nonlinear control problem in an infinite dimensional setting, which is a difficult problem to handle. I will show how stability conditions can be derived in this setting. Numerical examples will illustrate the theory. Finally, the potential of dynamic control allocation for control-redundant hyperbolic systems will be illustrated.

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