Abstract

This paper presents the optimal nonlinear filter for bilinear state and linear observation equations confused with white Gaussian disturbances. The general scheme for obtaining the optimal filter in case of polynomial state and linear observation equations is announced. The obtained bilinear filter is applied to solution of the identification problem for the bilinear terpolymerization process and compared to the optimal linear filter available for the linearized model and to the mixed filter designed as a combination of those filters.

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