MINES ParisTech CAS - Centre automatique et systèmes

PDE-Based Control and Estimation of Transport Systems: Application to Traffic and Cardiovascular Flow

Date : 23/09/2022 De 16h00 à 17h00

Nikolaos Bekiaris-Liberis, Technical University of Crete

"Transport" may imply different notions for different fields. However, the feature of incorporation of interacting system components through which "information" is propagated remains invariant. Traffic (via transport of vehicles) and cardiovascular (via blood transport) flow are two characteristic examples. Control (and estimation) of the emerging transport phenomenon (on the macroscopic level, potentially employing actions or obtaining measurements at the microscopic level) is the key for efficient and safe operation of such systems. Motivated by these observations, we will review various PDE-based traffic flow control designs aiming at delay compensation at both macroscopic (via introduction of a predictor-feedback ramp metering strategy for quasilinear transport PDE-ODE interconnections) and microscopic (via design of predictor-based cooperative adaptive cruise control laws) levels. Capitalizing on the capabilities of adaptive cruise control-equipped vehicles, a feedback control strategy will be presented, aiming at homogenization of traffic speed profile (via considering an Aw-Rascle-Zhang-type traffic flow model with distributed actuation, arising from the presence of connected/automated vehicles). We will then illustrate the potential of PDE-based traffic flow control in cardiovascular flow analysis, monitoring, and control, revealing the potential correspondence of 1-D blood flow dynamics in the presence of stenosis, with 1-D traffic flow dynamics in the presence of bottleneck. We will discuss how the problems of real-time blood flow estimation and stenosis characteristics identification can be recast as problems of state estimation and parameters identification of a class of 2x2 hyperbolic PDE systems with uncertain characteristic speeds and boundary parameters.

Nikolaos Bekiaris-Liberis received the Ph.D. degree in aerospace engineering from the University of California, San Diego, USA, in 2013. From 2013 to 2014, he was a Post-Doctoral Researcher with the University of California, Berkeley, USA. From 2017 to 2019, he was a Marie Sklodowska-Curie Fellow and from 2014 to 2017, he was a Research Associate at the Technical University of Crete, Greece. He is
currently an Assistant Professor with the Department of Electrical and Computer Engineering, Technical University of Crete. He has authored/coauthored one book and more than 100 papers. His interests include nonlinear delay, switched, and distributed parameter systems and their applications to transport systems. He received the Chancellor’s Dissertation Medal in Engineering from the University of California, San Diego, in 2014. He was a recipient of the 2016 Marie Sklodowska-Curie Individual Fellowship Grant. He serves as an Associate Editor for Automatica and IEEE Transactions on intelligent transportation systems.