Abstract
This study aims to synthesize a fault detection filter for continuous-time T-S fuzzy systems. The proposed filter is designed in finite frequency domain in as much as the frequency ranges of the fault and unknown disturbances are assumed to be known beforehand and to belong in finite frequency bands. The generated residual is ensured to be as sensitive as possible to faults and as robust as possible against unknown disturbances by means of two finite frequency performance indices such as H_ and H∞ norms. By the use of the Generalised Kalman-Yakubovich-Popov (GKYP) lemma and the Lyapunov method, sufficient design conditions are derived in LMI terms. Finally, simulation study is introduced to validate the developed approach.
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