IDENTIFICATION OF HAMMERSTEIN OUTPUT-ERROR SYSTEMS WITH TWO-SEGMENT NONLINEARITIES: ALGORITHM AND APPLICATIONS1

Bo Yu, Huazhen Fang, Yang Lin, and Yang Shi

Keywords

System identification, Hammerstein systems with two-segment non-linearities, stochastic gradient algorithm, distillation columns

Abstract

This paper studies the parameter identification problem of Hammerstein output-error systems with two-segment nonlinearities. New switching sequences are proposed to reduce the number of parameters to be estimated. A stochastic gradient identification algorithm together with the convergence analysis is further developed. A varying forgetting factor scheme is used to make a tradeoff between the convergence rate and estimation accuracy. Both numerical simulation results and applications to distillation columns are provided to show the effectiveness of the proposed method.

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