Fault detection for discrete-time interval type-2 fuzzy systems

This paper studies the problem of fault detection filter design for a class of nonlinear discrete-time systems in presence of parameter uncertainties based on the interval type-2 (IT2) T-S fuzzy model. On the basis of the IT2 T-S fuzzy model, the parameter uncertainty is tackled via membership functions with lower and upper bounds. A novel IT2 fault detection filter is constructed to ensure the residual system to be asymptotically stable and satisfy the predefined H_∞ performance. It is worth noting that the filter to be designed does not share the same premise variables, number of fuzzy rules and membership functions with the fuzzy model, which will lead to more flexible design. Finally, a practical example is given to illustrate the effectiveness of the method proposed in this paper.