A third-order sliding-mode observer for a continuous delay chaotic system

Octaviana Datcu 1 Leonid Fridman 2 Jean-Pierre Barbot 3, 4
1 ECS-lab EA 3649
ECS-Lab - Électronique et Commande des Systèmes Laboratoire
2 Departamento de Ingenieria de Control y Robotica
Departamento de Ingenieria de Control y Robotica
4 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper aims rstly to highlight the possibility of recovering a message included in a chaotic continuous time delay system, secondly to show that it is possible to use the third order sliding mode in order to recover directly all the states and the unknown input (message), thirdly to illustrate the robustness of the proposed observer with respect to a noisy signal. This work is based on the concept of left invertibility and recent advances in sliding mode observers. Some theoretical recalls and assumptions are done previously to the presentation of the observer design and the simulation results.
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Octaviana Datcu, Leonid Fridman, Jean-Pierre Barbot. A third-order sliding-mode observer for a continuous delay chaotic system. IFAC Conference on analysis and control of chaotic systems CHAOS 2012, Jun 2012, Cancun, Mexico. ⟨hal-00750616⟩

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