– Titre : Projected Dynamics in Control: Challenges and Insights
– Résumé : In many modern control applications, ensuring that system trajectories remain within a desired set – often for safety or performance reasons – is a central concern. One promising approach to enforce such forward invariance is through projected dynamical systems. While projections are well-known in optimization, their use in control is less widespread, partly due to the discontinuities they introduce in the closed-loop dynamics. These discontinuities raise fundamental questions about the well-posedness of these dynamics and the behavior of their solutions (existence, completeness, uniqueness). Moreover, tools to address the stability of projected dynamical systems are lacking. In this talk, I will present some of our recent results addressing these challenges, and share a few open problems and directions we are currently exploring.
– Biographie : Riccardo Bertollo received his PhD in Mechatronics Engineering from the University of Trento (Italy) in 2023. Since then, he has been a postdoctoral researcher at Eindhoven University of Technology (The Netherlands), working within Maurice Heemels’ ERC Advanced Grant project PROACTHIS. His research focuses on the analysis of hybrid and nonsmooth dynamical systems, with particular emphasis on their application to control problems in robotics and mechatronics. In 2023, he was the recipient of the “Best Italian PhD Thesis in Automatic Control” award.
– Lien Teams : cliquer ici.