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Zonotopic fault detection observer for linear parameter‐varying descriptor systems

This paper studies zonotopic fault detection observer design for a class of linear parameter‐varying descriptor systems. The disturbance and measurement noise are unknown but can be bounded by zonotopes. A zonotopic method is presented to estimate the envelope of residual. To attenuate the effect of disturbance and measurement noise, a zonotopic size optimization criterion is implemented based on P‐radius. To improve the fault detection performance, a finite‐frequency H_ index is introduced based on the generalized Kalman‐Yakubovich‐Popov lemma. Simulation examples of a mass‐spring and a direct‐current motor are utilized to demonstrate the performance of the proposed method.