H-/H∞ fault detection observer design for two-dimensional Roesser systems

Abstract This paper addresses the problem of H − / H ∞ fault detection for two-dimensional (2-D) systems with disturbances in Roesser model. A fault detection observer is designed to satisfy a finite frequency H − index and an H ∞ index simultaneously. The finite frequency H − index is used to increase the fault sensitivity in low frequency domain while the H ∞ index is used to attenuate the effects of disturbances in full frequency domain. By the generalized Kalman–Yakubovich–Popov lemma and some useful lemmas, sufficient design conditions are obtained. An example is given to illustrate the effectiveness of the proposed method.

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