In this talk, we will focus on Control Lyapunov function methodologies for the design of families of cruise controllers for the safe operation of autonomous vehicles and we will discuss the new principle of vehicle nudging, whereby autonomous vehicles may "push" other vehicles in front of them, which may increase traffic flow and capacity. The Control Lyapunov functions are based on measures of the energy of the system with the kinetic energy expressed in ways similar to Newtonian or relativistic mechanics. Moreover, we will present the macroscopic models that correspond to the derived control laws, obtaining fluid-like models that consist of a conservation equation and a momentum equation with pressure and viscous terms. Finally, we will show that, by selecting appropriately the parameters of the feedback laws, we can determine the physical macroscopic fluid characteristics, i.e. we get free hand to create an artificial fluid that approximates the emerging traffic flow.
Dr. Dionysios Theodosis-Palimeris received the B.S. degree in mathematics from the University of Aegean, Greece in 2008, and the M.Sc. degree in applied mathematical sciences from the School of Applied Mathematics and Physical Sciences, National Technical University of Athens, Athens, Greece in 2011. In 2017, he obtained the Ph.D. in applied mathematics from the National Technical University of Athens. From April 2017 and December 2019, he has been a Post-doctoral Researcher at the Department of Automatic Control, School of Electrical Engineering, Royal Institute of Technology (KTH), Stockholm, Sweden. He is currently a Postdoctoral Researcher with the Dynamic Systems and Simulation Laboratory, Technical University of Crete. His research interests include stability, estimation, and control of nonlinear systems, numerical methods for PDEs and their applications to transport systems.