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On the disturbance attenuation for input delay systems

Authors:Di Loreto Michael, IRCCyN, CNRS, France
Lafay Jean-François, IRCCyN, CNRS, France
Loiseau Jean Jacques, IRCCyN, CNRS, France
Topic:2.2 Linear Control Systems
Session:Time-Delay Systems I
Keywords: Delay systems, Disturbance attenuation, Estimation, Prediction, Geometric approach.

Abstract

This paper deals with the disturbance attenuation problem for multivariablelinear systems with a delayed input. To solve this problem, we usea static feedback based on a state prediction, which allows us toanalyze an equivalent linear system without delay. Then, geometricconditions are given on this new equivalent system, and anumerical example illustrates our results.