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

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.