Prof. Kanat Camlibel gave a talk on July 12th, 2022 in our group about “Data informativity: a new perspective on data-driven analysis and control”
Biography (简介)
M. Kanat Camlibel received the Ph.D. degree in mathematical theory of systems and control from Tilburg University in 2001. From 2001 to 2005, he held post-doctoral positions at the University of Groningen and Tilburg University. Between 2005 and 2007, he was an assistant professor at Eindhoven University of Technology. In 2007, he joined the University of Groningen where he is currently a full professor at the Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence. His research interests include differential variational inequalities, complementarity problems, optimization, piecewise affine dynamical systems, switched linear systems, constrained linear systems, multi-agent systems, model reduction, geometric theory of linear systems, and data-driven control. Dr. Camlibel is an associate editor of the IEEE Transactions on Automatic Control, and is the past associate editor of International Journal of Robust and Nonlinear Control, SIAM Journal on Control and Optimization, and Systems and Control Letters.
Abstract
In this talk we study data-driven analysis and control problems from the perspective of ‘data informativity’. We collect data from an unknown dynamical system, assumed to be contained in a given model class. On the basis of these data, we want to assess system properties and to design controllers of the unknown system. Of course, this is only possible if the given data contain enough information. Our first contribution is to formalize what is meant by ‘enough information’ in the above context. In particular, we provide definitions of the informativity of data for analysis
and control. We then apply these definitions to a variety of analysis and design problems, including controllability/stabilizability analysis, dissipativity analysis, stabilizing feedback design, Hinf control as well as model reduction.