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Nonlinear feedback for uncertain systems - application to optimization-based control

In this talk we focus on control design for uncertain systems. The structure is as follows :
  1. We describe how nonlinear and uncertain systems can be modelled by some convex combination of affine discrete-time systems. The uncertainty description will be applied to examples to highlight its features.
  2. We show how the uncertainty description above can be used to construct a piecewise state-feedback controller with robust stability guarantees. The method allows for state and control input constraints. The feedback structure is computed by solving a set of bilinear and linear matrix inequalities. The methodology will be applied to examples to highlight its features.
  3. An application of the above methodology is for robust model predictive control design. We formulate this controller and explain the differences to the usual model predictive controller. The talk will focus on problem formulation, concepts and examples. For detailed theory we will refer to a set of published papers.

Type of Seminar:
Public Seminar
Prof. Bjarne Foss
Dept of Engineering Cybernetics, Trondheim, Norway
May 05, 1999   17:15

ETZ E6, Gloriastrasse 35, 8006 Zurich
Contact Person:

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Biographical Sketch:
Bjarne A. Foss received the degree in 1980 and the doktor ingeniør degree in 1987 from the Norwegian University of Science and Technology. He worked as a research scientist for SINTEF, a non-profit research company, in the field of automatic control during 1981-84. Later, in 1988-1989, he maintained the position as section manager at SINTEF. During 1985-1987 he worked on his doctoral degree within parameter identification in petroleum reservoirs. Since 1989 Bjarne A. Foss has been a full professor at the Norwegian University of Science and Technology. The focus of interest has been process modelling and control. He has supervised 11 completed degrees. Bjarne A. Foss is currently Department head at the Department of Engineering Cybernetics. He acts as a scientific advisor for SINTEF, Elkem ASA and ABB Indutri AS.