|Time:||January 30, 2018|
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Prof. Stephan Trenn
Johann Bernoulli Institute for Mathematics and Computer Science
University of Groningen, The Netherlands
Tuesday 2018-01-30 16:00
IST-Seminar-Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen
Switched systems are a modeling framework for dynamical systems which are subject to sudden structural changes. In particular, they are well suited for the analysis of fault scenarios, where the occurrence of a fault is modeled as a switch from the nominal to a faulty mode of the system. Observing these switches and identifying the fault from the available measurements is of crucial importance in many applications. A classical system property in this context is "mode detectability", which is the ability to distinguish the different modes of the systems via the information obtained from the measurable external signals. However, this notion is very strong as it implies the ability to recover the mode also for constant switching signals (i.e. when no switch occurs at all) and, furthermore, for each individual mode the internal state needs to be observable. Especially in the fault detection scenario (where the state observability may not be satisfied in a faulty configuration), these two consequence from mode detectability indicate that a weaker notion may be more appropriate. Therefore, the new notion "switch observability" will be presented which does not require state observability for all modes and also takes into account the effect (e.g. a jump) a switch has on the output. Kalman-like rank conditions will be given, which characterize this new observability notion.
Stephan Trenn is an Associate Professor for Systems and Control at the University of Groningen, Netherlands (since 2017). His main research interest is the analysis and control of switched differential-algebraic equations with applications to power grids and this research is currently funded by a Dutch NWO Vidi-grant. Stephan Trenn graduated in Mathematics (Dipl.-Math.) and Computer Science (Dipl.-Inf.) at the TU Ilmenau, Germany, in 2004 and 2006 respectively and at the same university he received his PhD (Dr. rer. nat.) in 2009. During that time he had a six-month research visit at the University of Southampton, UK (2004-2005). He held Postdoc positions at the University of Illinois at Urbana-Champaign, USA (2009-2010) and at the University of Wuerzburg, Germany (2010-2011). From 2011 until 2017 he was Assistant Professor (Juniorprofessor) at the TU Kaiserslautern, Germany. During that time he also held a one-month guest professor position at the University of Valenciennes, France (2013) and he was scientific consultant for the Fraunhofer Institute for Industrial Mathematics (ITWM), Kaiserslautern (2013-2017).