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Gradient-based Iterative Parameter Estimation for a Finite Impulse Response System with Saturation Nonlinearity

Xiao Wang, Yingjiao Rong, Cheng Wang*, Feng Ding, and Tasawar Hayat
International Journal of Control, Automation, and Systems, vol. 20, no. 1, pp.73-83, 2022

Abstract : This paper studies the identification problems of a nonlinear finite impulse response system with saturation nonlinearity. Introducing a symbolic function, an over-parameterization gradient-based iterative algorithm is presented for estimating the parameters of the nonlinear system with saturation nonlinearity. In order to enhance the computational efficiency, a gradient-based iterative algorithm and a hierarchical gradient-based iterative algorithm are presented for the nonlinear systems. The computational loads of these algorithms are analyzed and compared.

Keyword : Gradient search, hierarchical identification, nonlinear system, parameter estimation.

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