Polynomial orthogonal bases for data-driven analysis and control of continuous-time systems (Prof. Paolo Rapisarda, University of Southampton)
Systems & Control Seminar
Abstract
I present joint work with M.K. Camlibel and H.J. van Waarde of Rijksuniversiteit Groningen, The Netherlands.
I start with a short introduction about polynomial bases, with special emphasis on the Chebyshev one. I then show how polynomial bases can be used to represent (approximations of) input and output trajectories of a linear time-invariant system, and how the system equations can be represented in this setting. After discussing persistency of excitation in this setting, I state a continuous-time version of the “fundamental lemma” frequently used in discrete-time data-driven control. I show how this result can be used to perform data-driven simulation of continuous-time systems.
If time allows, I also show how Chebyshev representations can be used to extend the informativity approach of van Waarde and collaborations to the continuous-time case.
Biographical information
P. Rapisarda received his Ph.D. degree at the Department of Mathematics, University of Groningen, The Netherlands. He has held lecturing position at the University of Trieste, Italy and at the University of Maastricht, The Netherlands. He is currently Professor in Control Theory at the School of Electronics and Computer Science of the University of Southampton, United Kingdom.
His research interests include data-driven simulation and control, system identification, multidimensional systems, model reduction. He was associate editor of the IEEE Transactions on Automatic Control (2017-2022) and of Systems and Control Letters (2004-16). He is associate editor of Multidimensional Systems and Signal Processing from 2012, and of the IMA Journal of Mathematical Control and Information since 2016.
Date
17. Jan. 202415:00 - 16:00
