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SUMMARY:Vortrag von Prof. Arjan van der Schaft
DESCRIPTION:Prof. Arjan van der Schaft\nJohann Bernoulli Institute for Mathematics and Computer Science\nUniversity of Groningen\nGroningen, The Netherlands \nTuesday 2018-05-29 16:00\n IST-Seminar-Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen \nAbstract\nKey constraint in the control of power networks is supply-demand matching, with the total\nconsumed power equal to the total generated power. Optimization of the so-called social welfare\nfunction under the constraint of supply-demand matching leads to an optimal set-point for the\noperation of the power network. Continuous-time implementation of the primal-dual gradient\nalgorithm converging to this optimal set-point defines a distributed dynamical controller for the\nphysical power network. This controller also admits the interpretation of a market (pricing)\ndynamics. It will be shown that the optimal set-point is an asymptotically stable equilibrium of\nthe resulting closed-loop system. Main idea in the proof is the port-Hamiltonian modeling of the\nphysical network, as well as of the primal-dual gradient controller, leading to a natural global\nLyapunov function.\n(joint work with Tjerk Stegink and Claudio De Persis)\n \n \n \n \nBiographical Information \nArjan van der Schaft received the (under)graduate and PhD degrees in Mathematics from the\nUniversity of Groningen, the Netherlands, and joined the University of Twente, where he was\nappointed as full professor in Mathematical Systems and Control Theory in 2000. In September 2005\nhe returned to his Alma Mater as professor in Mathematics.\nBooks authored by him include Variational and Hamiltonian Control Systems (1987, with P.E.\nCrouch), Nonlinear Dynamical Control Systems (1990, 2016, with H. Nijmeijer), L2-Gain and Passivity\nTechniques in Nonlinear Control (1996, 2000, 2017), An Introduction to Hybrid Dynamical Systems\n(2000, with J.M. Schumacher), and Port-Hamiltonian Systems: An Introductory Overview (2014, with D.\nJeltsema).\nArjan van der Schaft is Fellow of the Institute of Electrical and Electronics Engineers (IEEE),\nFellow of the International Federation of Automatic Control (IFAC), and was the 2013 recipient of\nthe 3-yearly awarded Certificate of Excellent Achievements of the IFAC Technical Committee on\nNonlinear Systems. He was Invited Speaker at the International Congress of Mathematicians, Madrid,\n2006. \n \n\n
DTSTART;VALUE=DATE:20180529
URL;VALUE=URI:https://www.ist.uni-stuttgart.de/de/veranstaltungen/Vortrag-von-Prof-00002.-Arjan-van-der-Schaft/
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