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Contribution au diagnostic de pannes pour les systèmes différentiellement plats

Rabah Fellouah 1
1 LAAS-DISCO - Équipe DIagnostic, Supervision et COnduite
LAAS - Laboratoire d'analyse et d'architecture des systèmes
Abstract : This thesis is devoted to the diagnostic of faults in differentially flat systems, where differentially flat systems constitute a rather large class of non linear systems. The flatness property is characterized by relations allowing to express states and input as functions of the outputs and their derivatives up to a finite order. These relations are the basis for the synthesis of flat control laws and are, is it displayed here, useful to perform an efficient diagnostic of additional redundancy degree. Then a global fault detection method based on the flatness property is proposed. It is shown that many differentially flat subsystems so that the proposed fault detection method can be applied within the corresponding structure allowing then the identification of faulty subsystems. Then the frequent case of implicitly differentially flat systems is considered and it is shown through an aeronautical application that neural networks can provide a numerical solution approach to this fault detection problem. Since with this approach the one line availability of successive derivatives of the outputs is imperative, the performance of a derivative filter is studied. To eliminate the effect of the resulting estimation errors, some improvements are introduced to the current flat control law. In the last section of the report the diagnostic of differentially flat chaotic systems is considered. In different cases it is shown how the differential flatness property can be used to detect and identify variations of the parameters of the chaotic system. Simulation results are displayed. Finally some complementary fields of research are pointed out.
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Contributor : Arlette Evrard <>
Submitted on : Thursday, January 17, 2008 - 9:55:26 AM
Last modification on : Thursday, June 10, 2021 - 3:05:50 AM
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  • HAL Id : tel-00206317, version 1


Rabah Fellouah. Contribution au diagnostic de pannes pour les systèmes différentiellement plats. Automatique / Robotique. INSA de Toulouse, 2007. Français. ⟨tel-00206317⟩



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