Regular Papers

International Journal of Control, Automation and Systems 2023; 21(3): 745-754

Published online February 11, 2023

https://doi.org/10.1007/s12555-021-0744-2

© The International Journal of Control, Automation, and Systems

The Auxiliary Model Based Hierarchical Estimation Algorithms for Wave Peak Frequency Identification

Shun An, Longjin Wang, Yan He, and Jianping Yuan*

Guangdong Ocean University

Abstract

This paper studies the wave peak frequency identification using the stochastic gradient algorithm. The identification model is derived by using the wave disturbance model, and an extended stochastic gradient algorithm is presented for identifying the model parameters. Based on the hierarchical identification principle, the identification model is decomposed into two subsystems by introducing two intermediate variables, and a two-stage auxiliary model based extended stochastic gradient (2S-AM-ESG) algorithm is presented to improve the convergence speed. The effectiveness of the identification algorithms is verified by the simulation tests of a ship heading control system. Simulation results demonstrate the effectiveness of the proposed method.

Keywords Auxiliary model identification, hierarchical identification, stochastic gradient, wave frequency tracker.

Article

Regular Papers

International Journal of Control, Automation and Systems 2023; 21(3): 745-754

Published online March 1, 2023 https://doi.org/10.1007/s12555-021-0744-2

Copyright © The International Journal of Control, Automation, and Systems.

The Auxiliary Model Based Hierarchical Estimation Algorithms for Wave Peak Frequency Identification

Shun An, Longjin Wang, Yan He, and Jianping Yuan*

Guangdong Ocean University

Abstract

This paper studies the wave peak frequency identification using the stochastic gradient algorithm. The identification model is derived by using the wave disturbance model, and an extended stochastic gradient algorithm is presented for identifying the model parameters. Based on the hierarchical identification principle, the identification model is decomposed into two subsystems by introducing two intermediate variables, and a two-stage auxiliary model based extended stochastic gradient (2S-AM-ESG) algorithm is presented to improve the convergence speed. The effectiveness of the identification algorithms is verified by the simulation tests of a ship heading control system. Simulation results demonstrate the effectiveness of the proposed method.

Keywords: Auxiliary model identification, hierarchical identification, stochastic gradient, wave frequency tracker.

IJCAS
September 2024

Vol. 22, No. 9, pp. 2673~2953

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