Integrated fault detection and control for two-dimensional Roesser systems

This paper addresses the problem of integrated fault detection and control for two-dimensional (2-D) Roesser systems. A fault detection observer/controller is designed to detect faults in low-frequency domain and satisfy some control specifications simultaneously. By the generalized Kalman-Yakubovich-Popov (KYP) lemma and some useful lemmas, this design problem is formulated as a multiobjective optimization problem. A two-step algorithm is proposed to solve this non-convex problem. The effectiveness of the proposed algorithm is illustrated by a numerical example.