Fault detection of infinite dimensional systems in presence of disturbances

Abstract

In this brief paper we are concerned with the fault detection (FD) problem of single-input multi-output infinite dimensional (Inf-D) systems. We develop a geometric methodology to detect a fault in presence of a disturbance signal. In other words, the detection decision making process is decoupled from the disturbance signal. Specifically, we first consider the invariant subspaces of Inf-D systems and derive sufficient conditions for convergence of the computing algorithm corresponding to conditioned invariant subspaces. Then, by using the developed methodology necessary and sufficient conditions for solvability of the FD problem are provided.