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

This paper addresses the problem of H-/H-infinity 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-infinity index simultaneously. The finite frequency H- index is used to increase the fault sensitivity in low frequency domain while the H-infinity 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. (C) 2015 Elsevier B.V. All rights reserved.