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Maximum Likelihood Iterative Algorithm for Hammerstein Systems with Hard Nonlinearities

Yan Pu, Yongqing Yang*, and Jing Chen
International Journal of Control, Automation, and Systems, vol. 18, no. 11, pp.2879-2889, 2020

Abstract : In this paper, we consider several iterative algorithms for Hammerstein systems with hard nonlinearities. The Hammerstein system is first simplified as a polynomial identification model through the key term separation technique, and then the parameters are estimated by using the maximum likelihood (ML) based gradient-based iterative algorithm. Furthermore, an ML least squares auxiliary variable algorithm and an ML bias compensation gradient-based iterative algorithm are developed to identify the saturation system with colored noise. Simulation results are included to illustrate the effectiveness of the proposed algorithms.

Keyword : Gradient search, Hammerstein system, key term separation, maximum likelihood, saturation nonlinearity

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