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Analyse et commande de systèmes non linéaires à retards

Abstract : This work deals with a wide class of nonlinear time-delay systems modeled over a noncommutative ring.

We look for causal solutions to different control problems, which can be implemented without using state predictors.

To do so, a new mathematical setting, well-suited for the class of considered systems, has been developed. It is derived as a natural extension of well-known results of the theory of nonlinear systems without delays, and linear time-delay systems.

This new approach is, in fact, a major contribution of this thesis. It allowed us not only to study some structural properties of nonlinear time-delay systems such as accessibility and system inversion, but also to propose checkable and constructive conditions under which there exist causal solutions to problems like disturbance decoupling, input-output linearisation and output tracking.
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Contributor : Luis Alejandro Marquez-Martinez <>
Submitted on : Tuesday, April 1, 2008 - 9:48:06 PM
Last modification on : Wednesday, December 19, 2018 - 3:02:03 PM
Long-term archiving on: : Friday, May 21, 2010 - 1:07:08 AM


  • HAL Id : tel-00269005, version 1



Luis Alejandro Marquez-Martinez. Analyse et commande de systèmes non linéaires à retards. Automatique / Robotique. Université de Nantes, 2000. Français. ⟨tel-00269005⟩



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