Complete Fault Diagnosis Of Uncertain Polynomial Systems

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.