Zonotopic fault detection observer for linear parameter-varying descriptor systems

摘要

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.