Geodesic
Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays
International Journal of Applied Mathematics and Computer Science, Tome 21 (2011) no. 4, pp. 617-627.

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This paper addresses the problems of robust fault estimation and fault-tolerant control for Takagi-Sugeno (T-S) fuzzy systems with time delays and unknown sensor faults. A fuzzy augmented state and fault observer is designed to achieve the system state and sensor fault estimates simultaneously. Furthermore, based on the information of on-line fault estimates, an observer-based dynamic output feedback fault-tolerant controller is developed to compensate for the effect of faults by stabilizing the resulting closed-loop system. Sufficient conditions for the existence of both a state observer and a fault-tolerant controller are given in terms of linear matrix inequalities. A simulation example is given to illustrate the effectiveness of the proposed approach.
Keywords: fuzzy time delay systems, sensor faults, state observer, fault tolerant control, linear matrix inequalities, stability analysis
Mots-clés : sterowanie rozmyte, sterowanie z opóźnieniem, obserwator stanu, sterowanie tolerujące uszkodzenia, liniowa nierówność macierzowa, analiza stateczności 
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Tong, S.; Yang, G.; Zhang, W. Observer-based fault-tolerant control against sensor failures for fuzzy systems with time delays. International Journal of Applied Mathematics and Computer Science, Tome 21 (2011) no. 4, pp. 617-627. http://geodesic.mathdoc.fr/item/IJAMCS_2011_21_4_a2/

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