Abstract
This paper investigates the robust fault detection problem for fuzzy singularly perturbed systems with pole assignment constraints. A finite frequency approach is proposed for the simultaneous achievement of the fault detection objectives and control objectives, which combines the computation of filter gains into a unified framework. By designing the fault detection filter, the residual signal for the detection of finite frequency faults can be produced, and the transient system behaviors can be improved to a satisfactory level based on the pole assignment. In addition, the estimated upper bound of the singular perturbation parameter is used to evaluate the performance of the proposed design method. Finally, a simulation example on an inverted pendulum controlled by a motor via a gear train is provided.
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