Robust H-infinity deconvolution and its application to fault detection

The problem of H-infinity deconvolution of linear discrete-time stationary processes is considered where the parameters of the process are partially u nknown. By the use of the state-space model of the system, the state-space matrices are assumed to reside in a given polytope, A stationary deconvolve r is obtained that achieves a preassigned input estimation level for ail of the matrices in the uncertainty polytope. Two types of deconvolvers are co nsidered: The first one directly aims at estimating the selected inputs, wh ereas the second type tries to estimate a dynamically weighted version of t he input. The theory presented is illustrated via an example of fault detec tion in a servosystem of an air vehicle.