Multi-objective H-/H∞ Fault Detection Observer Design for Takagi-Sugeno Fuzzy Systems with Unmeasurable Premise Variables: Descriptor Approach

S. Aouaouda Mohammed Chadli 1 Vincent Cocquempot 2 T. Khadir
2 STF - Systèmes Tolérants aux Fautes
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : This paper investigates the problem of robust fault detection observer design for nonlinear Takagi-Sugeno models with unmeasurable premise variables subject to sensor faults and unknown bounded disturbance. The main idea is to synthesize a robust fault detection observer by means of a mixed H =H1 performance index. The considered observer is used to estimate jointly states and faults. Using the technique of descriptor system representation, we proposed a new less-conservative approach in term of a linear matrix inequality (LMI) by considering the sensor fault as an auxiliary state variable. A solution of the problem is obtained by using an iterative LMI procedure.
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Journal articles
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https://hal.archives-ouvertes.fr/hal-00799462
Contributor : Vincent Cocquempot <>
Submitted on : Tuesday, March 12, 2013 - 11:45:13 AM
Last modification on : Sunday, February 2, 2020 - 12:44:05 AM

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  • HAL Id : hal-00799462, version 1

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S. Aouaouda, Mohammed Chadli, Vincent Cocquempot, T. Khadir. Multi-objective H-/H∞ Fault Detection Observer Design for Takagi-Sugeno Fuzzy Systems with Unmeasurable Premise Variables: Descriptor Approach. International Journal of Adaptive Control and Signal Processing, Wiley, 2012, pp. ⟨hal-00799462⟩

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