Newton-Based Extremum Seeking for Dynamic Systems Using Kalman Filtering: Application to Anaerobic Digestion Process Control

Yang Tian, Ning Pan, Maobo Hu, Haoping Wang (), Ivan Simeonov, Lyudmila Kabaivanova and Nicolai Christov
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Yang Tian: LaFCAS Laboratory, Automation School, Nanjing University of Science and Technology, 200 Xiao Ling Wei St., Nanjing 210094, China
Ning Pan: LaFCAS Laboratory, Automation School, Nanjing University of Science and Technology, 200 Xiao Ling Wei St., Nanjing 210094, China
Maobo Hu: LaFCAS Laboratory, Automation School, Nanjing University of Science and Technology, 200 Xiao Ling Wei St., Nanjing 210094, China
Haoping Wang: LaFCAS Laboratory, Automation School, Nanjing University of Science and Technology, 200 Xiao Ling Wei St., Nanjing 210094, China
Ivan Simeonov: The Stephan Angeloff Institute of Microbiology, Bulgarian Academy of Sciences, Acad. G. Bonchev St., bl. 26, 1113 Sofia, Bulgaria
Lyudmila Kabaivanova: The Stephan Angeloff Institute of Microbiology, Bulgarian Academy of Sciences, Acad. G. Bonchev St., bl. 26, 1113 Sofia, Bulgaria
Nicolai Christov: Centre de Recherche en Informatique, Signal et Automatique de Lille—UMR 9189, Université de Lille, 59655 Villeneuve d’Ascq, France

Mathematics, 2023, vol. 11, issue 1, 1-15

Abstract: In this paper, a new Newton-based extremum-seeking control for dynamic systems is proposed using Kalman filter for gradient and Hessian estimation as well as a stochastic perturbation signal with time-varying amplitude. The obtained Kalman filter based Newton extremum-seeking control (KFNESC) makes it possible to accelerate the convergence to the extremum and attenuate the steady-state oscillations. The convergence and oscillation attenuation properties of the closed-loop system with KFNESC are considered, and the proposed control is applied to a two-stages anaerobic digestion process in order to maximize the hydrogen production rate, which has better robustness and a slower steady-state oscillation with the comparison of Newton-based ESC and sliding mode ESC.

Keywords: extremum-seeking control; Newton optimization algorithm; Kalman filter; two-stages anaerobic digestion process (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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