Design of fault tolerant control for nonlinear systems subject to time varying faults

Tahar Bouarar (1) , Benoît Marx (1) , Didier Maquin (1) , José Ragot (1)

1 CRAN - Centre de Recherche en Automatique de Nancy

In this paper, a Fault Tolerant Control (FTC) problem for discrete time nonlinear systems rep- resented by Takagi-Sugeno (T-S) models is investigated. The goal is to design a fault tolerant controller taking into account the faults affecting the overall system behavior in order to ensure the system stability. The principal idea is to introduce a Proportional Integral (PI) observer to detect and to estimate an eventual fault occuring in the system. Based on Lyapunov theory, two new approaches are proposed in term of Linear Matrix Inequalities (LMI) leading to synthesize an FTC laws ensuring the tracking between the reference model states and the faulty system ones. These results concern the case of time varying faults modeled by exponential function and first order plynomial. To illustate the effectiveness of the proposed approaches, an academic example is considered.

Domains: Automatic

Tahar Bouarar, Benoît Marx, Didier Maquin, José Ragot. Design of fault tolerant control for nonlinear systems subject to time varying faults. Annual Conference of the European Safety and Reliability Association, ESREL 2011, Sep 2011, Troyes, France. pp.CDROM. ⟨hal-00593398⟩