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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Yang Tian & Ning Pan & Maobo Hu & Haoping Wang & Ivan Simeonov & Lyudmila Kabaivanova & Nicolai Christov, 2023. "Newton-Based Extremum Seeking for Dynamic Systems Using Kalman Filtering: Application to Anaerobic Digestion Process Control," Mathematics, MDPI, vol. 11(1), pages 1-15, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:1:p:251-:d:1023972
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