Robust control in Toulouse
Monday June 27 2005
LAAS-CNRS, Toulouse, France
Topic
The workshop aims at gathering three well-known speakers in the area of robust control presenting their last results.
Programme
Monday June 27, 2005
14h30 -Tetsuya Iwasaki,
University of Virginia, USA Feedback Control Synthesis with
General Frequency Domain Specifications
This talk is concerned with a feedback control synthesis
problem for linear systems to meet design specifications
given in terms of multiple frequency domain inequalities
in (semi)finite ranges. A multiplier expansion is
proposed to convert the synthesis condition to a linear
matrix inequality (LMI) condition through the linearizing
change of variables. In the single objective setting, the
LMI condition may or may not be conservative, depending
upon the choice of the basis for the multiplier expansion.
We provide a qualification for the basis matrix to yield
nonconservative LMI conditions. It turns out to be difficult
to determine the basis matrix meeting such qualification
in general. However, it is shown that qualified bases can
be found for some cases, and that the qualification can be
used to find reasonable choices of the basis for other cases.
Finally, the synthesis method is extended to the multiple
objective case where a sufficient condition is given for
the existence of a controller to meet the specification.
15h30 - Joao
Manuel Gomes da Silva, UFRGS, Porto Alegre, BR Stabilization of neutral systems with saturating inputs
This talk focuses on the stabilization problem of neutral systems in the presence of control saturation. Based on a descriptor approach and the use of a modified sector-condition, global and local stabilization conditions are derived using Lyapunov-Krasovskii functionals. These conditions allow to consider systems presenting time-varying delays and are formulated directly as linear matrix inequalities (LMIs). Optimization problems are proposed with the aim of computing stabilizing state feedback control laws.
16h30 - Shankar Bhattacharyya, Texas A & M University, USA,
Controller Synthesis without identification
This talk will describe recents results on controller synthesis
without state estimation and without identification. We show that the
complete sets of controllers achieving stability and performance
specifications can be achieved based only and directly on Nyquist-Bode
frequency domain data without the need for building analytical transfer
function or state space models. This raises various questions regarding
the validity of model based robust and optimal designs as developed over
several decades by control theorists. We discuss several pertinent
research areas raised by these results.
Registration
No registration is required
Location
Main conference hall (salle de conferences) of LAAS-CNRS, Toulouse.
Access maps and accomodation information can be found here.
Under construction - last updated on June
1, 2005