Balancing-based model reduction for delay systems

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• Nathan Van de Wouw, TU/e - U of M - TUDelft
• Wednesday 30 May 2018, 14:00-15:00
• 1109B (CAP seminar room) .

If you have a question about this talk, please contact Giordano Scarciotti.

Abstract: In this talk, two approaches for model reduction of delay systems based on balancing techniques are presented. In the first approach, a decomposition of the delay system dynamics is pursued in terms of a feedback interconnection between a finite-dimensional linear system and a delay operator. Subsequently, the finite-dimensional part of the dynamics can be reduced using balancing techniques. In the second approach, a balancing technique is developed on the basis of energy functionals that provide (bounds on) a measure of energy related to observability and controllability, respectively, for the infinite-dimensional delay system. These functionals are then used as a basis for model reduction for the delay system. Benefits of these approaches are, firstly, the fact that the delay nature of the system is preserved after reduction, secondly, that input–output stability properties are preserved and, thirdly, that a computable error bound reflecting the accuracy of the reduction is provided. The effectiveness of the results is evidenced by means of illustrative examples.

Biography: Nathan Van de Wouw (born, 1970) obtained his M.Sc.-degree (with honours) and Ph.D.-degree in Mechanical Engineering from the Eindhoven University of Technology, Eindhoven, the Netherlands, in 1994 and 1999, respectively. Current positions: Full professor position at the Mechanical Engineering Department of the Eindhoven University of Technology, the Netherlands. Adjunct full professor position at the University of Minnesota, U.S.A. Full professor position at the Delft University of Technology, The Netherlands. In 2000, Nathan van de Wouw has been working at Philips Applied Technologies, The Netherlands, and, in 2001, he has been working at the Netherlands Organisation for Applied Scientific Research (TNO), The Netherlands. He has held positions as a visiting professor at the University of California Santa Barbara, U.S.A., in 2006/2007, at the University of Melbourne, Australia, in 2009/2010 and at the University of Minnesota, U.S.A., in 2012 and 2013. He has published a large number of journal (>100) and conference papers (>150) and the books ‘Uniform Output Regulation of Nonlinear Systems: A convergent Dynamics Approach’ with A.V. Pavlov and H. Nijmeijer (Birkhauser, 2005) and `Stability and Convergence of Mechanical Systems with Unilateral Constraints’ with R.I. Leine (Springer-Verlag, 2008). He currently is an Associate Editor for the journals “Automatica” and “IEEE Transactions on Control Systems Technology”. In 2015, he received the IEEE Control Systems Technology Award “For the development and application of variable-gain control techniques for high-performance motion systems”. His current research interests are the modelling analysis and control of nonlinear, hybrid and delay systems, with applications to drilling systems, vehicular platooning, high-tech systems, smart energy systems and networked control systems.

This talk is part of the Control and Power Seminars series.

This talk is included in these lists:

• 1109B (CAP seminar room)
• Andrea Picciau's list
• Control and Power Seminars

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