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A new approach to controller design in presence of constraints

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Abstract:
We present a novel approach to controller design for a linear system affected by disturbances, in presence of input saturation constraints.

The approach relies on the formulation of the control design problem as a constrained min-max optimization.
The 'min' is taken with respect to the controller parameters so as to optimize the performance of the control system for the worst disturbance in some class ('max'), while avoiding saturation of the control action due to actuator limitations.
By selecting an appropriate parameterization of the controller, this min-max optimization problem with constraints can be translated into a robust convex optimization program. Solvability of the obtained robust convex optimization program is then attained through a probabilistic relaxation of the worst-case solution concept, for general classes of disturbances.

This is a joint work with Marco Campi - Universitą di Brescia, Italy.

http://www.elet.polimi.it/upload/prandini
Type of Seminar:
Public Seminar
Speaker:
Dr. Maria Prandini
Dip. di Elettronica e Informazione, Politecnico di Milano
Date/Time:
Sep 22, 2006   11:00
Location:

Physikstr. 3, Building ETL, Room K25
Contact Person:

Prof. John Lygeros
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Biographical Sketch:
Maria Prandini was born in Brescia, Italy, in 1969. She received the Laurea in Electrical Engineering in 1994 (Politecnico of Milano, Italy), and the Ph.D. degree in Electrical Engineering in 1998 (University of Brescia, Italy). From March to July 1998, she was a visiting scholar at Delft University of Technology, the Netherlands. From August 1998 to October 2000, she was a visiting postdoctoral researcher at the Department of Electrical Engineering and Computer Sciences, University of California at Berkeley. From April 2000 to December 2002, she was a research fellow at University of Brescia, Italy. She is currently assistant professor at Politecnico of Milano, Italy.