International Federation of Automatic Control
3rd IFAC SYMPOSIUM on SYSTEM, STRUCTURE and CONTROL

Foz do Iguassu, Brazil October 17th - 19th, 2007


Friday Evening

Session FE3: Infinite Dimensional and Time-delay Systems


Chair: Silviu-Iulian Niculescu - France
Co-chair: Valerie dos Santos Martins - France
Room: Santiago
2007-10-19
From 16:00 to 18:00
Internal Model Principle for Time-Delay Systems of Retarded Type
M. di Loreto, J. J. Loiseau, J. F. Lafay
Contact: Michael di Loreto - France
17:00-17:20
Abstract:
This paper addresses the internal model principle problem for time-delay systems of retarded type. Based on an algebraic approach, a parametrization of all stabilizing compensators using proper and stable fractions of pseudopolynomials is proposed in a first part. Then, we consider the tracking problem for general plants with bounded uncertainties for the induced topology. Namely, we determine a compensator that ensures an asymptotic convergence to zero of the tracking error. The analysis of the structure of a compensator that achieves this objective is addressed. Copyright © 2007 IFAC.