Design of Redundancy Relations for Failure Detection and Isolation by Constrained Optimization

Abstract

The design of a fault detection and isolation (FDI) system for linear time-invariant processes submitted to additive failures is considered. The paper first concentrates on the problem of residual generation. The redundancy relations are obtained by minimizing a quadratic cost function under non-convex quadratic inequality constraints. The constraints express, in some way, the desired performance of the FDI system both for detection and isolation purposes. Next, an approach to the design of a decision logic suitable for the proposed residual generation scheme is described.