Speaker
Christian Ebenbauer (Professor, Institute for Systems Theory and Automatic Control, University of Stuttgart)
Time & Location
Sept. 17(Tues), 19(Thur), 20(Fri) 4:00PM~6:00PM / Building 301 Room 104
Abstract
The goal of the lectures is to provide a very basic introduction to Lie brackets and their application to extremum seeking control.
Day1 Sept. 17(Tues) 16:00~18:00
1. Motivation and basic ideas
1.1 Nonholonomic integrator
1.2 Lie bracket between two vector fields
Day2 Sept. 19(Thur) 16:00~18:00
2. Some basic mathematical properties
2.1 Lie algebra of vector fields and transformation properties
2.2 Commutativity of flows
Day3 Sept. 20(Fri) 16:00~18:00
3. Control applications
3.1 Controllability
3.2 Extremum seeking control
3.3 Lie bracket approximations
The lectures will be presented on blackboard. The requisites are basic (undergraduate) knowledge about differential equations and (linear) control systems.
Biography
Christian Ebenbauer received his MS (Dipl.-Ing.) in Telematics (Electrical Engineering and Computer Science) from Graz University of Technology, Austria, in 2000 and his PhD (Dr.-Ing.) in Mechanical Engineering from the University of Stuttgart, Germany, in 2005. After having completed his PhD, he was a Postdoctoral Associate and an Erwin Schrodinger Fellow at the Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, USA. Since April 2009, he is a full professor at the Institute for Systems Theory and Automatic Control, University of Stuttgart, Germany. His research interests lie in the areas of dynamical systems, control theory, optimization and computation. Prize of the Vereinigung von Freunden der Universität Stuttgart for doctoral thesis 2006, DFG Emmy Noether Programme 2008.
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