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Fault Detection and Reconstruction for Discrete Nonlinear Systems via Takagi-Sugeno Fuzzy Models

Shenghui Guo, Fanglai Zhu, Wei Zhang, Stanisław H. Z˙ ak, and Jian Zhang*
International Journal of Control, Automation, and Systems, vol. 16, no. 6, pp.2676-2687, 2018

Abstract : "Observer-based actuator fault detection and sensor fault reconstruction for a class of discrete-time nonlinear systems with actuator and sensor faults are investigated in this paper. A descriptor Takagi-Sugeno (T-S) fuzzy model is employed to construct observer-based systems for the purpose of fault detection and sensor fault reconstruction. Two methods for observer design are proposed. In the first method, the observer gains are computed off-line. In the second method, the observer gains are computed on-line at each iteration. The observer designs are formulated using linear matrix inequalities. Sufficient conditions for the existence of the observer-based fault detection and sensor fault reconstruction systems are provided. Comparative simulation study to illustrate the validity of the proposed methods is performed."

Keyword : Discrete-time systems, fault diagnosis, singular systems, state estimation.

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