Einladung zum Vortrag im Kolloquium Technische Kybernetik

  A Dynamical Systems Approach to Modeling and Robust Stability Analysis of Hybrid Control Systems

Prof. Dr. Ricardo Sanfelice
Department of Aerospace & Mechanical Engineering
University of Arizona
USA

Friday, 6. May 2011, 2:00 p.m.
IST-Seminar-Room 3.243 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen

Abstract

Driven by recent technological advances, hybrid systems have become prevalent when describing complex systems with both continuous and discrete dynamics. This ongoing trend has been the thrust for research on modeling, stability analysis, control design, validation, verification, and simulation of hybrid systems. These research efforts are also relevant in the design of advanced control algorithms with mixed continuous/discrete dynamics, that is, hybrid control systems. Even though hybrid control systems have been shown to enhance the robustness properties of the closed-loop system in most applications, the analysis and design for robustness of these systems have not been pursued in a systematic manner due to the lack of formal tools for that purpose. Instead, this has been carried out with tools suitable for the particular application of study. In this talk, we take a dynamical systems approach to modeling and robust stability analysis of general hybrid systems. We introduce a mathematical framework, concept of solution, and the properties of the system data for robustness. We also present a version of Lyapunov's stability theorem for hybrid systems. We illustrate the relevance of this framework and new tools in several applications, involving mechanical systems with impacts, aerial vehicles, and biological networks. A survey paper about the results to be presented recently published in IEEE Control Systems Magazine is available at http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4806347&isnumber=4806311?tag=1

Biographical Information

Ricardo Sanfelice received his B.S. degree in Electronics Engineering from the Universidad de Mar del Plata, Buenos Aires, Argentina, in 2001. He joined the Center for Control, Dynamical Systems, and Computation at the University of California, Santa Barbara in the Fall of 2002, where he received his M.S. and Ph.D. degrees in 2004 and 2007, respectively. During 2007 and 2008, he was a Postdoctoral Associate at the Laboratory for Information and Decision Systems at the Massachusetts Institute of Technology, where he was also affiliated with the Department of Aeronautics and Astronautics. Before joining the Faculty at the Department of Aerospace and Mechanical Engineering at the University of Arizona in 2009, he visited the Centre Automatique et Syst¸mes (CAS) at the Ecole de Mines de Paris for four months. His current research interests are in modeling, stability, robust control, and simulation of nonlinear, hybrid, and embedded systems with applications intersecting the areas of robotics, aerospace, and biology.