Time: | June 13, 2017 |
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Dr. Joaquin Carresco Gomez
School of Electrical and Electronic Engineering
University of Manchester, U.K.
Tuesday 2017-06-13 16:00
IST-Seminar-Room 2.268 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen
Abstract
Searches of a suitable Zames-Falb multiplier for a given system have attracted much attention over the last decade. However, there is a lack of conditions to ensure that there is no suitable Zames-Falb multipliers for a given system. This talk will discuss on phase limitations of Zames-Falb multipliers, we present tools that allows us to discard the existence of a suitable Zames-Falb multiplier for a given plant. We will show continuous-time and discrete-time examples where these constraints are active, and provide insights about the different behaviour between continuous-time and discrete-time properties. Interestingly, these examples are (or seem to be) counterexamples of the Kalman conjecture. We pose a new conjecture that bridges the existence of a Zames-Falb multiplier with the Kalman conjecture.
Biographical Information
Joaquin Carrasco is a Lecturer at the Control Systems Centre, School of Electrical and Electronic Engineering, University of Manchester, UK. He was born in Abarán, Spain, in 1978. He received the B.Sc. degree in physics and the Ph.D. degree in control engineering from the University of Murcia, Murcia, Spain, in 2004 and 2009, respectively. From 2009 to 2010, he was with the Institute of Measurement and Automatic Control, Leibniz Universität Hannover, Hannover, Germany. From 2010 to 2011, he was a research associate at the Control Systems Centre, School of Electrical and Electronic Engineering, University of Manchester, UK. He has been a Visiting Researcher at the University of Groningen, Groningen, The Netherlands, and the University of Massachusetts, Amherst. His current research interests include absolute stability, multiplier theory, and robotics applications.