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Synchronization of nonlinear oscillators defined over dynamical links and its application to electrical networks by Prof. Hongkeun Kim

Speaker

Hongkeun Kim (Assistant Professor, Korea University of Technology and Education)

Time & Location

Mar. 25 (Fri) 11:00 / Building 133 Room 316-1

Abstract

One of the recent trends of control systems engineering is to migrate from single-agent control to multi-agent distributed control due to the need for systems to coordinate and/or cooperate with each other. Despite this state of the art trend in control systems society and its wide range of applications, many of the results in synchronization are still restricted to linear systems. Motivated by this, in the first part of this talk, we will study a passivity-based synchronization of nonlinear systems defined over static links (i.e., usual interconnection structure considered in multi-agent systems). In particular, it will be shown that the incremental output feedback passivity and input-to-state stability relative to a set play a vital role in achieving such synchronization of the involved systems. A particular class of Lur’e-type nonlinear oscillators satisfying those two conditions will be given, including e.g., Van der Pol oscillators, Chua’s circuits, and dead-zone oscillators as a special case. In addition to this, synchronized output regulation of oscillators will also be considered, aiming at attenuating the desynchronizing effect of external disturbances on synchronization.

In the second part of this talk, we will focus on the oscillators defined over dynamical links (as opposed to the usual static links) and its synchronization problem. One of the main applications of this topic is synchronization of micro-grids in electrical networks. Sources equipped with inverters in a micro-grid can be programmed to mimic nonlinear oscillators. These oscillators are then interconnected through transmission lines which contain resistance and inductance, and thus modeled as dynamical systems. Therefore, micro-grid in an electrical network can be thought as a bunch of nonlinear oscillators interconnected with each other through dynamical systems (or transmission lines). Under this setting, I will introduce a passivity-based solution to this problem (although the result is restrictive and not that satisfactory). To deal with the most general case, I will give a brief idea, together with a set of simulation results, how to tackle this problem and conjecture that the problem is solvable if dynamical links are sufficiently fast (or the impedance of each transmission line is very small). Finally, some challenges and open problems will be

Biography

[Education] 1998/03-2005/02 B.S. in Electro-Electrical & Computer Engineering Univ. Hanyang University
2005/03-2012/02 M.S. & Ph.D. integrated degree in Electrical Engineering & Computer Science Univ. Seoul National University

[Work Experience] 2012.03-2013/02, 2013/11-2014/02 Postdoctoral researcher in Electrical & Computer Engineering Univ. Seoul National University
2013/06-2013/10 Research associate in Automation & Systems Research Institute Univ. Seoul National University
2014/03-2015/08 Postdoctoral researcher in Faculty of Mathematics & Natural Sciences Univ. University of Groningen
2015/09-Present Assistant Professor in School of Mechatronics Engineering Univ. Korea University of Techonology & Education

Language

Korean

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