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Challenges and open problems in the theory of output regulation for nonlinear systems

The theory of output regulation for nonlinear SISO systems has reached a satisfactory degree of sophistication in the past few years. However, a number of relevant roadblocks still persist in the solution of the corresponding problem case for nonlinear MIMO systems. While in the case of linear systems the so-called ``non resonance condition" suffices to guarantee the existence of a (robust) solution for a stabilizable and detectable plant, the problem is still open for nonlinear systems. The bottleneck is the fact that, while for linear systems robust regulation can be achieved by means of a controller whose internal model ``post-processes" the regulated output, in the case of nonlinear systems it is only known how to design a ``pre-processing" internal model, and this renders the resulting stabilization problem much more difficult to handle. The lecture will review problems and challenges arising this context.

Type of Seminar:
Lecture Series on Directions in Systems and Control
Alberto Isidori
Department of Computer and System Sciences "A. Ruberti", University of Rome "La Sapienza"
Oct 10, 2011   15:15

HG G 26.1, ETH main building, Rämistrasse 101
Contact Person:

John Lygeros
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Biographical Sketch:
Alberto Isidori obtained his degree in EE from the University of Rome in 1965. Since 1975 he is Professor of Automatic Control at this University. Between 1989 and 2006 he has also been affiliated with Washington University in St. Louis.
His research interests are primarily in analysis and design of nonlinear control systems. He is the author of the highly-cited book Nonlinear Control Systems. He is the recipient of various prestigious awards, which include the Quazza Medal of IFAC (in 1996), the Bode Lecture Award, from the Control Systems society of IEEE (in 2001), the Honorary Doctorate from KTH of Sweden (in 2009), the Galileo Galilei Award from the Rotary Clubs of Italy (in 2009). He has been elected to receive the Control Systems Award of IEEE in 2012. He is the recipient of awards for best papers published on the IEEE Transactions on Automatic Control and on Automatica, twice on both journals. In 1986 he was elected Fellow of IEEE and in 2005 he was elected Fellow of IFAC. He has been President the International Federation of Automatic Control in the triennium 2008-2011.