Robust H#8734;Filtering for Uncertain Nonlinear Systems using Neural Networks

摘要

A full-order robust H∞filtering design for a class of uncertain nonlinear systems was investigated. The nonlinearities are modeled by neural-networks and then represented by linear difference inclusions. The uncertainties are described by polytope type. The presented filter is linear time-invariant, which not only guarantees the robust stability of error system but also satisfies a prescribed H∞attenuation level for all admissible uncertainties. The sufficient condition for the existence of such robust H∞filter is provided in terms of linear matrix inequality. A simulation example is given to illustrate the design procedures.