ECO-NET Workshop on Polynomial Optimization for Systems Control

Friday July 7, 2006
Manufacture des Tabacs, Toulouse, France

Scope

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.

Participants

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 Arzamas, RU
  • Dimitri Peaucelle, LAAS-CNRS Toulouse, FR
  • Michael Sebek, FEL, Czech Technical University in Prague, CZ

    Programme

    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 controller (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 inequalities.

    Registration

    There is no registration fee.

    Last updated on May 17, 2006