Krasovskii Passivity and Control with Application to Brayton-Moser Systems

January 14, 2022, zoom

Jacquelien Scherpen

University of Groningen, Mathematics

Abstract

In this talk I will present novel passivity based control techniques by introducing a new passivity concept named Krasovskii passivity. We investigate properties of Krasovskii passive systems and establish relations between four relevant related passivity concepts. We develop novel dynamic controllers based on Krasovskii passivity. The proposed controllers are applicable to a class of systems for which the standard passivity based controllers are not easily applicable. We then consider a class of resistive–inductive–capacitive (RLC) circuits and switched RLC circuits modeled in the Brayton–Moser framework. We study Krasovskii passivity for these systems, and after showing the integrability property of the port-variables, two simple control methodologies based on Krasovskii passivity, called output shaping and input shaping, are proposed for regulating the voltage in the RLC and the switched RLC circuits. Global asymptotic stability is theoretically proved for both the proposed control methodologies. Robustness with respect to load uncertainty is ensured for the input shaping methodology. The applicability of the proposed methodologies is illustrated by designing voltage controllers for DC networks.

Speaker's Bio

Jacquelien M. A. Scherpen received her Ph.D. (1994) degree in applied mathematics from the University of Twente, The Netherlands. She was faculty at Delft University of Technology until 2007. Since 2006, she is professor at the Jan C. Willems Center for Systems and Control, ENTEG, Faculty of Science and Engineering, University of Groningen. From 2013-2019, she was scientific director of ENTEG and she is currently director of the Groningen Engineering Center. Since 2020 she is Captan of Science of the Dutch High Tech Systems and Materials top sector. Her research interests include model reduction for networks and nonlinear systems, modeling and control of (nonlinear) physical systems with applications to electrical circuits, mechanical systems, and grid/network applications including distributed optimal control. <br><br> Dr. Scherpen has been an Associate Editor for the IEEE Transactions on Automatic Control, International Journal of Robust and Nonlinear Control (IJRNC) and the IMA Journal of Mathematical Control and Information, and is in the editorial board of IJRNC. She is fellow of IEEE, appointed Knight in the Order of The Netherlands Lion, and received the best paper prize for the triennium 2017-2020 of Automatica in 2020. She is currently member of the IFAC council, was member of the IEEE CSS BoG (2018-2021), and President of the European Control Association (2020-2021). She is the new chair of the SIAM Activity Group on Control and Systems Theory 2022-2023.

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