Fault detection filter design with adaptive mechanism for linear uncertain polytopic systems in finite frequency domains

This study is concerned with the fault detection (FD) filter design problem for linear uncertain polytopic systems in finite frequency domains. The H-/H-infinity FD scheme is applied to maximise the sensitivity of faults and minimise the effect of disturbances. By decomposing the unavailable state variables, a new adaptive mechanism is developed to design the FD filter with time-varying gains. Moreover, a tangent hyperplane technique is introduced to solve the non-convex problem involved in. performance, and the FD filter design conditions with some parameters fixed are then given in terms of linear matrix inequalities. Finally, the advantages and effectiveness of the proposed FD technique are illustrated through a numerical example.