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H − / L ∞ fault detection for linear discrete-time descriptor systems

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Sensor fault detection of discrete-time descriptor systems with bounded disturbances is studied. The authors propose a new structure of a fault detection observer by augmenting the output, which can broaden… Click to show full abstract

Sensor fault detection of discrete-time descriptor systems with bounded disturbances is studied. The authors propose a new structure of a fault detection observer by augmenting the output, which can broaden the application scope. A H − / L ∞ criterion is used to achieve the fault sensitivity and disturbance attenuation ability of the residual simultaneously. The residual generation and time-varying threshold calculation are integrated together based on L ∞ analysis. Furthermore, sufficient conditions for the H − / L ∞ performance of the proposed observer are formulated in terms of linear matrix inequalities. Numerical simulations of a direct current motor and a flight vehicle are conducted to verify the applicability of the proposed fault detection observer design method.

Keywords: detection; time descriptor; discrete time; fault detection; descriptor systems

Journal Title: Iet Control Theory and Applications
Year Published: 2018

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