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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.