Abstract
This paper presents an algebraic approach to the fault detection for parabolic systems. It is assumed that the unknown time-varying faults are of polynomial type. In addition to the fault, the system is subject to a disturbance that can be separated into a polynomial deterministic part and a remaining bounded part. While the deterministic part is isolated from the fault, the bounded part is taken into account by introducing a threshold. For this setup, the modulating function approach is utilized to determine a directly implementable algebraic equation for the fault detection, which depends only on measurements. The results of the paper are illustrated for a faulty diffusion-reaction system.
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