03/11/2020 – 14h00-15h00 – Modalité Hybride
Boundary sliding mode control of system of transport equations
Thibault Liard (LS2N, Nantes, France)
Abstract. We study the asymptotic behavior of a system of transport equations subject to unknown boundary disturbances. Our aim is to construct a boundary feedback law, based on a sliding mode procedure, which rejects the disturbance in finite time and which globally stabilizes the equilibrium point zero. The main novelty of our approach consists in defining a sliding variable and a corresponding sliding surface on which the global exponential stability is ensured. We will extend this approach to an equation of conservation laws with simulations.
Biography. Thibault Liard earned his PhD in observation and control for some conservative systems under the supervision of Alain Haraux and Yannick Privat. From 2017 to 2019, his Postdoctoral positions were focused on the study of strongly coupled PDE/ODE systems where the PDE consists of a system of conservation laws and the ODE represents the trajectory of particles. From 2019 to 2020, he was a Postdoctoral researcher at the ERC Advanced Grant project DyCon under the supervision of Prof. Enrique Zuazua where he was working on inverse problems of conservation laws. From 2021, he is Postdoctoral researcher at LS2N with Swann Marx where he is focusing on control and stabilization of conservation laws.
His main research interests are control theory, calculus of variations, inverse problem, coupled PDE/ODE, hyperbolic systems and wave-front tracking algorithm.
Practical details. the seminar will be also broadcast live using Microsoft Teams. If you want to attend this seminar (or any of the forthcoming online Automatiques seminars), and if you do not already have access to the AutoSeminar group on Teams, simply send an email and you will be invited. Please specify which email address the invitation must be sent to (this has to be the address associated with your Teams account). You will find the link to the seminar on the « General » AutoSeminar channel on Teams, approximately 15 minutes before the beginning.
The technical side of things: you can use Teams either directly from you web browser or using the « fat client », which is available for most platforms (Windows, Linux, Mac, Android & iOS). We strongly recommend the latter option whenever possible. Please give it a try before the seminar to anticipate potential problems.