LMI-based filter design for fault detection and isolation

A linear matrix inequality (LMI) based filter design approach for fixed-order robust fault detection and isolation (FDI) is examined. The proposed filter design provides necessary and sufficient conditions for the existence of a solution to the detection and isolation of faults using an H_∞ formulation. These conditions are expressed in terms of LMIs with matrix rank constraints, and a parameterization of all admissible filters is provided, which corresponds to a feasible solution. A convex LMI problem is obtained for the full-order FDI filter design. Finally, the proposed methods are demonstrated using a structural system simulation example, which include faulty actuators, sensors and external disturbances