Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm

In contemporary industrial applications, the complexity of systems often makes it challenging to create precise models using first-principle approaches. Consequently, researchers have turned to data-driven modeling, which offers the key advantage of developing a mathematical model of the system enti...

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Main Authors: Mohd Zaidi, Mohd Tumari, Mohd Ashraf, Ahmad, Zaharuddin, Mohamed
Format: Article
Language:English
English
Published: Springer 2024
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/42980/1/Identification%20of%20the%20continuous-time%20hammerstein%20models.pdf
http://umpir.ump.edu.my/id/eprint/42980/2/Identification%20of%20the%20continuous-time%20Hammerstein%20models_ABST.pdf
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author Mohd Zaidi, Mohd Tumari
Mohd Ashraf, Ahmad
Zaharuddin, Mohamed
author_facet Mohd Zaidi, Mohd Tumari
Mohd Ashraf, Ahmad
Zaharuddin, Mohamed
author_sort Mohd Zaidi, Mohd Tumari
collection UMP
description In contemporary industrial applications, the complexity of systems often makes it challenging to create precise models using first-principle approaches. Consequently, researchers have turned to data-driven modeling, which offers the key advantage of developing a mathematical model of the system entirely from the input–output data captured from an actual plant. However, acquiring complete input–output data can be challenging in numerous industrial applications, where sparse measurement data frequently arise when identifying the model of these systems. Therefore, this study introduced data-driven modeling for continuous-time Hammerstein models in the presence of sparse measurement data. The analysis employed the random average marine predators algorithm (RAMPA) with a tunable step-size adaptive coefficient (CF) (RAMPA-TCF), which offers significant advantages over the conventional MPA by preventing stagnation in the local optima and enhancing the balance between the exploration and exploitation stages. Here, the structure of the unknown nonlinear subsystem was assumed to be a piecewise affine function. Meanwhile, the structure of the linear subsystem was represented by a continuous-time transfer function. Subsequently, we applied RAMPA-TCF to identify the parameters of one numerical example and a twin-rotor system (TRS) under various sparse measurement data cases. Our results demonstrated the superiority of RAMPA-TCF across several performance criteria, including the convergence curve, statistical analysis of the objective function, parameter deviation index, time- and frequency-domain responses, and Wilcoxon's rank sum test. Notably, RAMPA-TCF improved the objective function results by over 5% in the numerical example and achieved more than a 30% improvement in the TRS compared to the conventional MPA.
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spelling UMPir429802024-11-26T00:40:34Z http://umpir.ump.edu.my/id/eprint/42980/ Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm Mohd Zaidi, Mohd Tumari Mohd Ashraf, Ahmad Zaharuddin, Mohamed TK Electrical engineering. Electronics Nuclear engineering In contemporary industrial applications, the complexity of systems often makes it challenging to create precise models using first-principle approaches. Consequently, researchers have turned to data-driven modeling, which offers the key advantage of developing a mathematical model of the system entirely from the input–output data captured from an actual plant. However, acquiring complete input–output data can be challenging in numerous industrial applications, where sparse measurement data frequently arise when identifying the model of these systems. Therefore, this study introduced data-driven modeling for continuous-time Hammerstein models in the presence of sparse measurement data. The analysis employed the random average marine predators algorithm (RAMPA) with a tunable step-size adaptive coefficient (CF) (RAMPA-TCF), which offers significant advantages over the conventional MPA by preventing stagnation in the local optima and enhancing the balance between the exploration and exploitation stages. Here, the structure of the unknown nonlinear subsystem was assumed to be a piecewise affine function. Meanwhile, the structure of the linear subsystem was represented by a continuous-time transfer function. Subsequently, we applied RAMPA-TCF to identify the parameters of one numerical example and a twin-rotor system (TRS) under various sparse measurement data cases. Our results demonstrated the superiority of RAMPA-TCF across several performance criteria, including the convergence curve, statistical analysis of the objective function, parameter deviation index, time- and frequency-domain responses, and Wilcoxon's rank sum test. Notably, RAMPA-TCF improved the objective function results by over 5% in the numerical example and achieved more than a 30% improvement in the TRS compared to the conventional MPA. Springer 2024-11-03 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/42980/1/Identification%20of%20the%20continuous-time%20hammerstein%20models.pdf pdf en http://umpir.ump.edu.my/id/eprint/42980/2/Identification%20of%20the%20continuous-time%20Hammerstein%20models_ABST.pdf Mohd Zaidi, Mohd Tumari and Mohd Ashraf, Ahmad and Zaharuddin, Mohamed (2024) Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm. Arabian Journal for Science and Engineering. pp. 1-26. ISSN 2193-567X (Print); 2191-4281 (Online). (In Press / Online First) (In Press / Online First) https://doi.org/10.1007/s13369-024-09692-1 https://doi.org/10.1007/s13369-024-09692-1
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Mohd Zaidi, Mohd Tumari
Mohd Ashraf, Ahmad
Zaharuddin, Mohamed
Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm
title Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm
title_full Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm
title_fullStr Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm
title_full_unstemmed Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm
title_short Identification of the continuous-time Hammerstein models with sparse measurement data using improved marine predators algorithm
title_sort identification of the continuous time hammerstein models with sparse measurement data using improved marine predators algorithm
topic TK Electrical engineering. Electronics Nuclear engineering
url http://umpir.ump.edu.my/id/eprint/42980/1/Identification%20of%20the%20continuous-time%20hammerstein%20models.pdf
http://umpir.ump.edu.my/id/eprint/42980/2/Identification%20of%20the%20continuous-time%20Hammerstein%20models_ABST.pdf
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AT mohdashrafahmad identificationofthecontinuoustimehammersteinmodelswithsparsemeasurementdatausingimprovedmarinepredatorsalgorithm
AT zaharuddinmohamed identificationofthecontinuoustimehammersteinmodelswithsparsemeasurementdatausingimprovedmarinepredatorsalgorithm