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Since 2009 DISC organizes a Winter Course, lectured by an international guest lecturer on a particular topic or research field relevant for systems and control. The course is typically scheduled in February and can be organized in one or more university locations. In 2009 Prof. Roberto Tempo lectured on "Probabilistic and Randomization Methods for Control of Uncertain Systems". In 2010 Prof. Thanos Antoulas (Rice University) lectured the Winter Course on Model reduction. Last year Prof. Volker Mehrmann lectured the DISC Winter Course on "Modelling, simulation, control and optimization with differential-algebraic systems". This year Vincent Andrieu will lecture the DISC Winter Course on "Observer for Nonlinear Systems".
Abstract
The purpose of this course is to give an overview of the main synthesis techniques of state observers for nonlinear dynamical systems. The lecture will start by addressing some general comments on the "estimation problem", that is, reconstructing the full information about a dynamical process on the basis of partial observed data. We will then introduce a particular type of algorithm: the asymptotic observer. We will then introduce some necessary conditions that ensures convergence of the estimate toward the state of the system. These observability conditions will be studied in deep details. Based on some differential observability assumptions, we will introduce a first class of observers for nonlinear systems: the high gain methodology. We will then see how we can modify this approach in order to take into account input and time dependency. We will also discuss its drawbacks on some particular illustrative examples. The second class of asymptotic state observer to be addressed is the Nonlinear Luenberger one. The existence of a Nonlinear Luenberger observer will be discussed and some examples will be given. In the fourth part of the lecture, we will consider the class of observer based on Lyapunov approaches. At the end of the course, we will show how an estimate given by the observer may be used in combination with a stabilizing state feedback in order to guarantee asymptotic stabilization of the origin by means of output feedback. Throughout, the various concepts encountered will be illustrated with examples and followed by homework assignments designed to enhance their understanding.
Suggested reading
G. Besançon (Ed.), Nonlinear observers and applications, Lecture Notes in Control and Information Science 363, Springer Verlag, 2007
J.-P. Gauthier, Deterministic observation theory and applications, Cambridge University Press, 2001.
Short Bio Vincent Andrieu
 Vincent Andrieu was born in Rouen, France, in 1978. He graduated in applied mathematics from “INSA de Rouen”, France, in 2001. After working in ONERA (French aerospace research company), he obtained a PhD degree from “Ecole des Mines de Paris” in 2005 with a thesis on output feedback and observer design for non linear systems. In 2006, he had research appointment at the Control and Power Group, Dept. EEE, Imperial College London. In 2008, he joined the CNRS-LAAS lab in Toulouse, France, as a “CNRS-chargé de recherche”. Since 2010, he has been working in LAGEP-CNRS, Université de Lyon 1, France. His main research interests are in feedback stabilization of controlled dynamical nonlinear systems and state estimation problem. He is also interested in practical application of these theoretical problems, and especially in the field of aeronautics.
Date and Location
The course will be taught in 3 days, from Monday February 13 through Wednesday February 15, 2012. Location will be at the Faculty of Mathematics and Natural Sciences, University of Groningen.
Schedule
Starting time: 9.30
Registration and fee
Registration fee for taking or auditing a full course is € 450. This fee is waived for DISC members. The registration form is available on the DISC forum, non DISC member can sent an email to
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.
Credits
For attending the DISC Winter Course you can obtain credits. Please note that you have to be present all sessions and complete your homework to obtain the credits.
Suggestion for hotels (not included)
University Guest House
Asgard Hotel
Eden City Hotel
Martini Hotel
Further information
Contact the the DISC secretariat (
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Winter Course 2012 
