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Closed-loop fault-tolerant control for uncertain nonlinear systems

Michel Fliess 1 Cédric Join 1 Hebertt Sira-Ramirez 2
1 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : We are designing, perhaps for the first time, closed-loop fault-tolerant control for uncertain nonlinear systems. Our solution is based on a new algebraic estimation technique of the derivatives of a time signal, which • yields good estimates of the unknown parameters and of the residuals, i.e., of the fault indicators, • is easily implementable in real time, • is robust with respect to a large variety of noises, without any necessity of knowing their statistical properties. Convincing numerical simulations are provided via a popular case-study in the diagnosis community, namely the three-tank system, which may be characterized as a flat hybrid system.
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https://hal.inria.fr/inria-00111208
Contributor : Michel Fliess <>
Submitted on : Saturday, November 4, 2006 - 8:27:43 AM
Last modification on : Tuesday, November 24, 2020 - 2:18:20 PM
Long-term archiving on: : Tuesday, April 6, 2010 - 9:30:44 PM

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  • HAL Id : inria-00111208, version 1

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Michel Fliess, Cédric Join, Hebertt Sira-Ramirez. Closed-loop fault-tolerant control for uncertain nonlinear systems. Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, Sep 2005, Stuttgart, Germany. pp.217-233. ⟨inria-00111208⟩

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