Computation of a Reference Model for Robust Fault Detection and Isolation Residual Generation

摘要

This paper considers matrix inequality procedures to address the robust fault detection and isolation (FDI) problem for linear time-invariant systems subject to disturbances, faults, and polytopic or norm-bounded uncertainties. We propose a design procedure for an FDI filter that aims to minimize a weighted combination of the sensitivity of the residual signal to disturbances and modeling errors, and the deviation of the faults to residual dynamics from a fault to residual reference model, using theℋ∞-norm as a measure. A key step in ourprocedure is the design of an optimal fault reference model. Weshow that the optimal design requires the solution of a quadraticmatrix inequality (QMI) optimization problem. Since the solutionof the optimal problem is intractable, we propose a linearizationtechnique to derive a numerically tractable suboptimal designprocedure that requires the solution of a linear matrix inequality(LMI) optimization. A jet engine example is employed todemonstrate the effectiveness of the proposed approach.