AbstractThe issue of fault detection and isolation design in the finite‐frequency domain for discrete‐time Lipschitz nonlinear systems subjected to actuator faults and disturbances is investigated. A bank ofH−/L∞unknown input observers (UIOs) is established using the generalized observer scheme to generate residuals that are insensitive to a specific actuator fault but sensitive to the other actuator faults. Furthermore, in the finite‐frequency domain, theH−andL∞performance indices are simultaneously used to improve the fault detection sensitivity and attenuate the influence of disturbances on the residuals, respectively. The design conditions for the bank ofH−/L∞UIOs are derived from the generalized Kalman–Yakubovich–Popov lemma and converted into an optimization problem constrained by linear matrix inequalities to solve the design matrices more easily. To diagnose actuator faults, a fault detection and isolation scheme is established using the time‐varying threshold from theL∞performance analysis. Finally, the effectiveness of the fault detection and isolation scheme using the bank ofH−/L∞UIOs is validated by the simulation of two examples.
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