H₋/L_∞ fault detection observer for linear parameter-varying systems with parametric uncertainty

This paper considers H₋/L_∞ fault detection for discrete-time linear parameter-varying (LPV) systems with parametric uncertainty. In H₋/L_∞ fault detection scheme, residual generation and threshold computation are simultaneously designed. With consideration of H₋/L_∞ performance indices, the generated residual is sensitive to faults while robust against unknown disturbances. Furthermore, the L_∞ performance provides a time-varying threshold for residual evaluation. This paper proposes a novel H₋/L_∞ fault detection observer design method to handle actuator fault detection for LPV systems with parametric uncertainty. Sufficient conditions of the fault detection observer design in the finite-frequency domain are derived as linear matrix inequalities. Numerical simulations are used to illustrate the effectiveness and superiority of the proposed fault detection observer design approach.