Design of robust non-fragile H ∞ fault detection filter for uncertain Delta operator systems

A sufficient condition for the existence of the robust non-fragile H ∞ fault detection filter is presented, based on linear matrix inequality (LMI) method, while considering the parameters' uncertainty of the Delta-operator-formulated systems, and the additive norm-bounded variations characteristic of the fault detection filter. A numerical simulation is applied to prove the effectiveness of the designed method. The results show that when the robust non-fragile H ∞ fault detection filter is designed, it is necessary to consider the uncertainties of the filter parameters.