A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems

This paper presents a new hybrid identification algorithm called the Average Multi-Verse Optimizer and Sine Cosine Algorithm for identifying the continuous-time Hammerstein system. In this paper, two modifications were employed on the conventional Multi-Verse Optimizer. Our first modification was an...

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Main Authors: Jui, Julakha Jahan, Mohd Ashraf, Ahmad
Format: Article
Published: Elsevier 2021
Subjects:
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author Jui, Julakha Jahan
Mohd Ashraf, Ahmad
author_facet Jui, Julakha Jahan
Mohd Ashraf, Ahmad
author_sort Jui, Julakha Jahan
collection UMP
description This paper presents a new hybrid identification algorithm called the Average Multi-Verse Optimizer and Sine Cosine Algorithm for identifying the continuous-time Hammerstein system. In this paper, two modifications were employed on the conventional Multi-Verse Optimizer. Our first modification was an average design parameter updating mechanism to solve the local optima issue. The second modification was the hybridization of Multi-Verse Optimizer with Sine Cosine Algorithm that will balance the exploration and exploitation processes and thus improve the poor searching capability. The proposed hybrid method was used for identifying the parameters of linear and nonlinear subsystems in the Hammerstein model using the given input and output data. A continuous-time linear subsystem was considered in this study, while there were a few methods that utilize such models. Furthermore, various nonlinear subsystems such as the quadratic and hyperbolic functions had been used in those experiments. The efficiency of the novel technique is illustrated using a numerical example and two real-world applications, which are a twin rotor system and a flexible manipulator system. The numerical and experimental results analysis were observed with respect to the convergence curve of the fitness function, the parameter deviation index, time-domain and frequency-domain responses of the identified model, and the Wilcoxon's rank test. The results showed that the proposed method was efficient in identifying both the Hammerstein model subsystems in terms of the quadratic output estimation error and parameter deviation index. The proposed hybrid method also achieved better performance in modeling of the twin-rotor system as well as the flexible manipulator system and provided better solutions compared to other optimization methods including Particle Swarm Optimizer, Grey Wolf Optimizer, Multi-Verse Optimizer and Sine Cosine Algorithm.
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spelling UMPir309592021-03-17T01:54:14Z http://umpir.ump.edu.my/id/eprint/30959/ A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems Jui, Julakha Jahan Mohd Ashraf, Ahmad TK Electrical engineering. Electronics Nuclear engineering This paper presents a new hybrid identification algorithm called the Average Multi-Verse Optimizer and Sine Cosine Algorithm for identifying the continuous-time Hammerstein system. In this paper, two modifications were employed on the conventional Multi-Verse Optimizer. Our first modification was an average design parameter updating mechanism to solve the local optima issue. The second modification was the hybridization of Multi-Verse Optimizer with Sine Cosine Algorithm that will balance the exploration and exploitation processes and thus improve the poor searching capability. The proposed hybrid method was used for identifying the parameters of linear and nonlinear subsystems in the Hammerstein model using the given input and output data. A continuous-time linear subsystem was considered in this study, while there were a few methods that utilize such models. Furthermore, various nonlinear subsystems such as the quadratic and hyperbolic functions had been used in those experiments. The efficiency of the novel technique is illustrated using a numerical example and two real-world applications, which are a twin rotor system and a flexible manipulator system. The numerical and experimental results analysis were observed with respect to the convergence curve of the fitness function, the parameter deviation index, time-domain and frequency-domain responses of the identified model, and the Wilcoxon's rank test. The results showed that the proposed method was efficient in identifying both the Hammerstein model subsystems in terms of the quadratic output estimation error and parameter deviation index. The proposed hybrid method also achieved better performance in modeling of the twin-rotor system as well as the flexible manipulator system and provided better solutions compared to other optimization methods including Particle Swarm Optimizer, Grey Wolf Optimizer, Multi-Verse Optimizer and Sine Cosine Algorithm. Elsevier 2021 Article PeerReviewed Jui, Julakha Jahan and Mohd Ashraf, Ahmad (2021) A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems. Applied Mathematical Modelling, 95. pp. 339-360. ISSN 0307-904X. (Published) https://doi.org/10.1016/j.apm.2021.01.023 https://doi.org/10.1016/j.apm.2021.01.023
spellingShingle TK Electrical engineering. Electronics Nuclear engineering
Jui, Julakha Jahan
Mohd Ashraf, Ahmad
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems
title A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems
title_full A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems
title_fullStr A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems
title_full_unstemmed A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems
title_short A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems
title_sort hybrid metaheuristic algorithm for identification of continuous time hammerstein systems
topic TK Electrical engineering. Electronics Nuclear engineering
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