Our next session of the webinar Control in Times of Crisis
http://ctcseminar.mat.utfsm.cl/ is a junior session, with two 30 minutes talks given by Lina Guan (Grenoble) and Marcu-Antone Orsoni (Bordeaux), see titles and abstracts below.
Talks will be given at
10 AM in Mexico / 11: 00 AM in Chile / 12:00 PM in Brazil / 5:00 PM in European Central Time (Berlin, Roma, Madrid, Paris) on Thursday Mai 6
on the Zoom videoconference platform (ID and access code are given below).
Please pay attention: From April 8, the time of the seminar has changed for some countries, due to changes from / to summer time. For instance, the seminar time at Chile: 11:00 hrs; Brazil: 12:00 hrs.
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Speaker 1: Lina Guan (Grenoble, France)
Title: Optimal Observer-based Output Feedback Controller for Traffic Congestion with Bottleneck
Abstract:This paper designs an optimal observer-based output feedback control for traffic breakdown to dissolve traffic congestion using the backstepping method and optimization. The linearized Aw-Rascle-Zhang model is used to represent the congested traffic dynamics resulting from traffic breakdown. Based on the factors leading to traffic breakdown, we take into account the boundary conditions consisting of a boundary with a constant density and a speed drop at the upstream inlet of a bottleneck, and a boundary with a disturbance of inflow (high traffic demand) at the inlet of the road segment under consideration. To dissolute traffic congestion, a dynamic feedback controller is designed at the upstream boundary. By using the backstepping approach, an observer-based output feedback controller is computed to guarantee the integral input-to-state stability of the closed-loop system. By establishing an optimization problem and solving it, the optimal value of the considered class controller is obtained. The performance of the output feedback controller is also validated by numerical simulations.
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Speaker 2: Marcu-Antone Orsoni (Bordeaux, France)
Title: On the reachable space of the heat equation.
Abstract:
It is well-known that the heat equation is not exactly controllable from the boundary because of the smoothing effect of its kernel. One can then ask which are the states that we can reach at a given time. After an overview of the previous results since the pioneering work of Fattorini and Russell in 1971, we will give a definitive description of the reachable set of the one-dimensional heat equation on a segment as the Bergman space of a certain square. This result involves complex and harmonic analysis tools as a separation of singularities theorem for the Bergman space. Finally, we will discuss the case of the Hermite heat equation. This talk is based on joint works with Andreas Hartmann.
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To connect to the ZOOM meeting:
https://us02web.zoom.us/j/95545768919?pwd=MDljR0hXRnF4ZTNPeUhqQTBnRVlEQT09
ID de reunión: 955 4576 8919
Código de acceso: CTC2020
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