May 8, 2018

Talk of Prof. Patrizio Colaneri

--- Title: Analysis and Control of Positive Switched Systems: Theory and Applications

May 8, 2018

Prof. Patrizio Colaneri
Department of Electronics, Information and Bioengineering
Politecnico di Milano
Milan, Italy


Tuesday 2018-05-08 16:00
IST-Seminar-Room 2.255 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen




In the talk the basic results on stability, stabilization and optimal control of positive switched linear systems are briefly overviewed. It is shown that under some assumptions one can exploit the convexity of the cost function, thus paving the way to easy numerical solutions. A fundamental technical tool is also played by the so-called by the so-called co-positive Lyapunov-Metzler inequalities, generating an “arg-min” switching rule capable to stabilize the system and provide an upper bound on the optimal cost. Moreover, the classical AIMD (additive increasing multiplicative decreasing) algorithm is presented and its effectiveness in distributed scheduling problems is shown. Finally, three application-oriented problems are briefly illustrated, namely (i) Theraphy scheduling for HIV load mitigation, (ii) Traffic light scheduling in road junctions, (iii) AIMD based distributed car battery charging in public parking.





Biographical Information



Patrizio Colaneri received the Laurea degree in Electrical Engineering in 1981 and the Ph.D. degree (Dottorato di Ricerca) in Automatic Control in 1988. He is full professor of Automatica and served as head of the Ph.D. school on ICT (2007–2009). He held visiting positions at the University of Maryland, at the Hamilton Institute of the National University of Ireland, and at the Institute for Design and Control of Mechatronical Systems of Johannes Kepler University in Linz (Austria). He served IFAC and IEEE CSS in many capacities in journals and conferences. He is currently Senior Editor of the IFAC journal “Non Linear Analysis: Hybrid Systems”, and a member of the IFAC Technical Board. He is a Fellow of IFAC and IEEE. His main interests are in the area of periodic systems and control, robust filtering and control, and switching control. He authored/ co-authored about 250 papers and seven books.

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