Robust fault detection using polytope-based set-membership consistency test

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Robust fault detection using polytope-based set-membership consistency test

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This article proposes a robust set-membership fault detection method based on the use of polytopes to bound the parameter uncertainty set. The algorithm is able to handle systems with bounded parameter variation between samples. It is shown that consistency checks indicating faults can be performed in a natural manner with a polytope description of the feasible parameter set. Finally, an application example is given, which demonstrates how the algorithm works on the well-known four-tank system benchmark. A comparison with a zonotope-based fault detection approach recently proposed in the literature is included.

Inspec keywords: fault diagnosis; robust control; parameter estimation; set theory; uncertain systems

Other keywords: zonotope-based fault detection approach; robust set-membership fault detection method; parameter uncertainty set; four-tank system benchmark; polytope description; consistency check; polytope-based set-membership consistency test; bounded parameter variation; robust fault detection

Subjects: Simulation, modelling and identification; Combinatorial mathematics; Stability in control theory

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