Stability analysis of a class of discrete-time discontinuous systems
In this talk I will speak about stability analysis of a class of discontinuous discrete-time systems. In particular, I will focus on a scenario in which a linear plant is controlled via an affine static state feedback law taking values into a bounded countable set. The considered setup is rather general and allows one to capture, among others, the typical situation in which actuators may only deliver a finite set of input values. The system under study is modeled as a feedback interconnection of a linear system and a set-valued nonlinearity. Then, an equivalent representation, based on a constrained optimization problem, is proposed to represent the set-valued nonlinearity via a collection of linear and quadratic constraints. Relying on this description and on the use of generalized quadratic set valued Lyapunov functions, sufficient conditions in the form of linear matrix inequalities for global exponential stability are obtained. Numerical examples corroborate the theoretical findings.
Link Streaming: https://uniroma1.zoom.us/s/91644175680
Francesco Ferrante received the B.Sc. (Laurea) degree in control engineering from the Sapienza Università di Roma, Italy, in 2010, the M.Sc. (Laurea Magistrale) degree in control engineering from the Università degli Studi di Roma Tor Vergata, Italy in 2012, and the Ph.D. degree in control theory from the Institut supérieur de l’aéronautique et de l’espace (SUPAERO) Toulouse, France, in 2015. In 2014, he held a Visiting Scholar position at the Department of Computer Engineering, University of California Santa Cruz. From November 2015 to August 2016, he was a Post-Doctoral Fellow at the Department of Electrical and Computer Engineering, Clemson University, Clemson, SC, USA. From August 2016 to September 2017, he held a position as a Post-Doctoral Scientist at the Hybrid Systems Laboratory, University of California at Santa Cruz. From, September 2017 to September 2021, he was an Assistant Professor with the Faculty of Sciences, Université Grenoble Alpes, France. He also held an Adjunct Assistant Professor position at the Department of Automotive Engineering, Clemson University. Currently, he is a tenure-track assistant professor at the Department of Engineering, University of Perugia ,Italy. He currently serves as an Associate Editor for Automatica, the IEEE Control Systems Letters, the European Journal of Control, and the IMA Journal of Mathematical Control and Information. He is a member the conference editorial board of European Control Association an IEEE Senior Member.