Abstract
The increase in complexity in process control goes along with an increasing need for complete and guaranteed fault diagnosis. In this contribution, we propose a set-based method for complete fault diagnosis for polynomial systems. It is based on a reformulation of the diagnosis problem as a nonlinear feasibility problem, which is subsequently relaxed into a semidefinite program. This is done by exploiting the polynomial/rational structure of the discrete-time model equations. We assume the measurements of the output and the input to be available as uncertain, but bounded convex sets. The applicability of the method is demonstrated considering a two-tank system subject to multiple faults.
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