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On the robust fault detection via a sliding mode disturbance observer

Thierry Floquet 1, 2 Jean-Pierre Barbot 3 Wilfrid Perruquetti 1, 2, 4 Mohamed Djemai 5
1 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
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper deals with robust fault detection for non-linear systems. This problem is usually solved by designing an observable subsystem which is only affected by the fault and not by the control and disturbance inputs. However, such a subsystem may not exist so that the so-called fundamental problem of residual generation (FPRG) is not solvable. The aim of the present paper is to design a fault detection filter when the conditions for the existence of a solution to the non-linear FPRG are not satisfied. Our approach is made in a geometric context. Under some decoupling assumptions, the design of sliding mode observers allows us to reconstruct the disturbance inputs and then to generate an effective residual. An illustrative example is given throughout the paper.
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https://hal.inria.fr/hal-00762283
Contributor : Thierry Floquet <>
Submitted on : Thursday, December 6, 2012 - 5:56:07 PM
Last modification on : Tuesday, September 29, 2020 - 12:24:14 PM

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Thierry Floquet, Jean-Pierre Barbot, Wilfrid Perruquetti, Mohamed Djemai. On the robust fault detection via a sliding mode disturbance observer. International Journal of Control, Taylor & Francis, 2004, 77 (7), pp.622-629. ⟨10.1080/00207170410001699030⟩. ⟨hal-00762283⟩

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