Course on polynomial methods for
(Didier Henrion, LAAS-CNRS, Toulouse, France)
Universidad de los Andes,
Merida, Venezuela - October and November 2001
This is a course for graduate students or researchers
with a background in linear control
systems, linear algebra and convex optimization.
The course focuses on the use of
polynomials and polynomial matrices for the analysis and
design of linear systems affected by parametric uncertainty.
Outline and Slides
Color slides of each part of the course can be downloaded below
in PDF (Acrobat Reader) format.
Monday October 29, 2001 - Robust stability analysis Part I
Tuesday October 30, 2001 - Robust stability analysis Part II
Wednesday October 31, 2001 - Robust design and convex optimization
Thursday November 1, 2001 - New results on robust analysis and design
Most of the material of the first two parts is taken from the
textbooks [J. Ackermann. Robust control: systems with uncertain
physical parameters. Springer, 1993],
[B. R. Barmish. New tools for robustness of linear systems. MacMillan,
1994] and [S. P. Bhattacharyya, H. Chapellat, L. H. Keel. Robust
control - The parametric approach. Prentice Hall, 1995].
The third part describes relatively recent results published from 1992
The last part contains mostly new (in 2001), previously unpublished
Computations for the
illustrative examples described throughout the course were carried out
with the commercial software [H. Kwakernaak, M. Sebek. The Polynomial Toolbox for
Matlab. PolyX Ltd, 1998.]
Other courses on polynomial methods can be downloaded from
PolyX home page.
Thanks to Michael Sebek, Zdenek Hurak, Jean-Pierre Merlet and Michael
Muhler for pointing out several errors in the slides.
Last updated on May 23, 2005.