# Commande et observation des systèmes à retards variables: Théorie et applications

Abstract : This work deals with the control and the observation of linear or nonlinear systems with time-varying delays, as well as some related experimentations : sampling, networked control systems and control with visual feedback. For such so-called hereditary'' systems, the behavior depends not only on current information but also depends on past times.

The first chapter deals with the presentation of the context and of theoretical grounds of this work.

The second chapter concerns the problem of exponential stability and stabilization of systems with time-varying delays. Here, the speed performance is then taken into account in the control design.

The third chapter generalizes these results to disturbed systems the behavior of which do not amount to the linear and time invariant models. We consider in particular two practical problems : uncertainties due to parameter variations and saturated control inputs.

In the fourth chapter, we focuss on continuous systems subject to sampled-data control. An input-delay approach is proposed which allows one to apply classical in continuous-time'' results.

The fifth chapter is devoted to the observation of delay systems. The worked-out results hold for systems with known delays (which case often appears in the literature), as well as for unknown delays (which is a sensitive and less explored case).
The last chapter presents some applicative problems where the theoretical results find their justification. We specially focuss on remote control trough an internet network and on a visual feedback control of mechanical benchmark.
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https://tel.archives-ouvertes.fr/tel-00132099
Contributor : Alexandre Seuret <>
Submitted on : Tuesday, February 20, 2007 - 11:56:52 AM
Last modification on : Tuesday, November 24, 2020 - 2:18:22 PM
Long-term archiving on: : Friday, September 21, 2012 - 11:31:24 AM

### Identifiers

• HAL Id : tel-00132099, version 1

### Citation

Alexandre Seuret. Commande et observation des systèmes à retards variables: Théorie et applications. Automatique / Robotique. Ecole Centrale de Lille; Université des Sciences et Technologie de Lille - Lille I, 2006. Français. ⟨tel-00132099⟩

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