Filtering of takagi-sugeno fuzzy switched system with application to sensor fault detection

The filtering problem for T-S fuzzy switched stochastic system is investigated in this paper. The aim is to construct a fault detection technique for the T-S fuzzy switched system. Based on observer-based fault detection fuzzy filter as a residual generator, the proposed fault detection is formulated as a fuzzy filtering problem. Then, the fault detection filters are designed that guarantee the resulted error system to be mean-square exponential stable with a weighted system error performance. Finally, the corresponding solvability condition for the fault detection fuzzy filter is also established by the linearization procedure technique.