ECO-NET Workshop on Polynomial Optimization for Systems Control
Friday July 7, 2006
Manufacture des Tabacs, Toulouse, France
The workshop is funded by the ECO-NET programme.
The ECO-NET programme is set up and financed by the French Ministry of
Foreign Affairs. It supports research activities between academic
institutions in France, Central Europe, Oriental
Europe and new independent states. See here
for more information (in French only).
Date and venue
The workshop takes place on Friday July 7, 2006 from 2:20 to 4pm in
room MD002 of the former Manufacture des Tabacs, in the center of
Toulouse, and in parallel to the technical sessions of the IFAC
Symposium on Robust Control Design.
Expected participants are, in alphabetical order:
Boris Andrievsky, IPME, Russian Academy of Sciences, RU
Denis Arzelier, LAAS-CNRS Toulouse, FR
Lubos Cirka, Slovak Technical University in Bratislava, SK
Alexander Fradkov, IPME, Russian Academy of Sciences, RU
Didier Henrion, LAAS-CNRS Toulouse, FR
Martin Hromcik, UTIA, Academy of Sciences of the Czech Republic, CZ
Zdenek Hurak, FEL, Czech Technical University in Prague, CZ
Pavel Pakshin, Nizhny Novgorod State Technical University at
Dimitri Peaucelle, LAAS-CNRS Toulouse, FR
Michael Sebek, FEL, Czech Technical University in Prague, CZ
The workshop aims at
fostering research activities in polynomial optimization, robust
control, chaotic systems control, model predictive control and
non-linear systems control.
L. Cirka, Adaptive LQ control of a laboratory fan heater using
the Youla-Kucera parameterisation. Abstract: The talk focuses on
results obtained by application of an adaptive tracking for
real-time control of a LTR700 (Air stream and Temperature Laboratory
Plant). The proposed method is based on the polynomial approach and LQ
control theory. The 1DoF and 2DoF control configurations are
considered. The resulting controllers are obtained via polynomial
Diophantine equations and spectral factorisation technique.
Joint work with M. Fikar.
A. L. Fradkov, Adaptive observer-based synchronisation of chaotic
systems with information constraints. Abstract: In the talk the
performance of adaptive chaotic synchronization system under
information constraints is analyzed in assumption that some system
parameters are unknown and only system output is measured. Such a
problem belongs to the area of control of chaos. It was studied
previously in absence of information constraints based on adaptive
observer scheme, allowing for its usage for message transmission
systems. We provide analytical bounds for the closed-loop system
performance (asymptotic error) and conduct a numerical case study for
a typical chaotic system, namely the Chua circuit, in presence of
information constraints. It is shown that the time-varying quantiser
with one-step memory provides reasonable approximation for the minimum
transmission rate for adaptive state estimation.
Joint work with B. Andrievsky and R. J. Evans.
Z. Hurak, Polynomial approach to optimal posicast
control. Abstract: Posicast controller is a practical feedforward
(prefilter, input shaper) that is composed of several delayed proportional
gains connected in parallel. We formulate the problem of design of a posicast
input command shaper in discrete-time domain as minimization of the l2 norm
of the error sequence. This optimization task is solved by simple algebraic
manipulation with polynomials, namely, solving two-sided linear equations
with polynomials and modular shift of a polynomial. Numerical examples will
given to demonstrate properties of the optimal design in contrast with the
classical Smith's design technique achieving complete cancellation of
residual vibrations. Joint work with M. Hromcik and M. Spiller.
P. Pakshin, Dissipativity of switching diffusion processes and its
application to robust simultaneous stabilization of nonlinear
systems. Abstract: The paper considers a class of systems composed of
a finite set of controlled Ito diffusion processes with jumping
transition between them determined by a homogeneous Markov
chain. Each state of this chain corresponds to some mode of the
system. Based on idea by Willems a stochastic version of dissipativity
is defined and some properties of dissipative diffusion processes with
Markovian switching are studied. Connection between passivity and
stabilizability via output feedback is investigated. The obtained
results are applied to robust simultaneous stabilization of a set of
nonlinear uncertain systems. A linear robust simultaneous
stabilization problem is also considered as a particular case, in
which the results are formulated in terms of linear matrix
There is no registration fee.
Last updated on May 17, 2006