Fault Detection Filter Design of Dual-Rotor Turbofan Aero-Engine: A Positive System Approach

For dual-rotor turbofan aero-engine rotation speed systems (DTARSSs), we investigate their fault detection filter design (FDFD) problem in this brief. First, according to the internally positive representation (IPR) of the DTARSS, an exact characterization of the
${L}_{1}/{L}_{-}$
index is obtained by means of linear programming so that the FDFD problem is therefore transformed into a convex optimization problem due to positivity constraints. For convenience of application, we propose a method for determining the fault detection threshold and go over the functional relationship between
${L}_{1}$
gain and
${L}_{-}$
index. A numerical simulation based on the DTARSS in typical operating situations illustrates the effectiveness of the proposed approach.