Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller

This study presents a sliding mode controller design for DC motor speed control using optimization algorithms. The design of sliding mode controllers typically requires expert input during the parameter determination phase. Traditionally, these parameters are set through trial-and-error methods base...

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Main Authors: Adnan Derdiyok, Sezgin Kaçar, Onur Demirel, Muhammed Salih Sarıkaya
Format: Article
Language:English
Published: Mahmut Akyigit 2025-06-01
Series:Journal of Mathematical Sciences and Modelling
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/4510317
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author Adnan Derdiyok
Sezgin Kaçar
Onur Demirel
Muhammed Salih Sarıkaya
author_facet Adnan Derdiyok
Sezgin Kaçar
Onur Demirel
Muhammed Salih Sarıkaya
author_sort Adnan Derdiyok
collection DOAJ
description This study presents a sliding mode controller design for DC motor speed control using optimization algorithms. The design of sliding mode controllers typically requires expert input during the parameter determination phase. Traditionally, these parameters are set through trial-and-error methods based on the experience of specialists. However, this approach can be both time-consuming and costly. The application of optimization methods automates the parameter-tuning process, reducing human intervention and, in turn, minimizing both design time and costs. The goal of this study is to enhance the performance of optimization methods by hybridizing them with chaotic systems. The random structures of chaotic systems allow optimization algorithms to explore a broader solution space, thereby improving their performance. The analyses conducted in this study reveal that hybrid chaotic algorithms outperform their original ones. The data indicate that the use of hybrid algorithms generally leads to a decrease in Steady-State Error. Additionally, it is observed that when all hybrid algorithms are employed, the sliding mode controller does not exhibit any overshoot. The results demonstrate that the sliding mode controller performs effectively, achieving low settling time, rise time, and steady-state error, while also preventing chattering. Among the methods examined, the sliding mode controller optimized with the Chaotic Henry Gas Solubility Optimization algorithm delivers the best performance, ensuring optimal system stability.
format Article
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institution OA Journals
issn 2636-8692
language English
publishDate 2025-06-01
publisher Mahmut Akyigit
record_format Article
series Journal of Mathematical Sciences and Modelling
spelling doaj-art-85806ba3a84a4d3bbea86e12e3a4f0c92025-08-20T02:36:16ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922025-06-0182425510.33187/jmsm.16174121408Modelling and Chaotic Based Parameter Optimization of Sliding Mode ControllerAdnan Derdiyok0https://orcid.org/0000-0001-8838-4018Sezgin Kaçar1https://orcid.org/0000-0002-5171-237XOnur Demirel2https://orcid.org/0000-0002-4221-3739Muhammed Salih Sarıkaya3https://orcid.org/0000-0002-2809-9896SAKARYA UNIVERSITY OF APPLIED SCIENCESSAKARYA UNIVERSITY OF APPLIED SCIENCESSAKARYA UNIVERSITY OF APPLIED SCIENCESSAKARYA UNIVERSITY OF APPLIED SCIENCESThis study presents a sliding mode controller design for DC motor speed control using optimization algorithms. The design of sliding mode controllers typically requires expert input during the parameter determination phase. Traditionally, these parameters are set through trial-and-error methods based on the experience of specialists. However, this approach can be both time-consuming and costly. The application of optimization methods automates the parameter-tuning process, reducing human intervention and, in turn, minimizing both design time and costs. The goal of this study is to enhance the performance of optimization methods by hybridizing them with chaotic systems. The random structures of chaotic systems allow optimization algorithms to explore a broader solution space, thereby improving their performance. The analyses conducted in this study reveal that hybrid chaotic algorithms outperform their original ones. The data indicate that the use of hybrid algorithms generally leads to a decrease in Steady-State Error. Additionally, it is observed that when all hybrid algorithms are employed, the sliding mode controller does not exhibit any overshoot. The results demonstrate that the sliding mode controller performs effectively, achieving low settling time, rise time, and steady-state error, while also preventing chattering. Among the methods examined, the sliding mode controller optimized with the Chaotic Henry Gas Solubility Optimization algorithm delivers the best performance, ensuring optimal system stability.https://dergipark.org.tr/en/download/article-file/4510317chaotichenry gas solubility optimizationhybrid optimizationsliding mode control
spellingShingle Adnan Derdiyok
Sezgin Kaçar
Onur Demirel
Muhammed Salih Sarıkaya
Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller
Journal of Mathematical Sciences and Modelling
chaotic
henry gas solubility optimization
hybrid optimization
sliding mode control
title Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller
title_full Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller
title_fullStr Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller
title_full_unstemmed Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller
title_short Modelling and Chaotic Based Parameter Optimization of Sliding Mode Controller
title_sort modelling and chaotic based parameter optimization of sliding mode controller
topic chaotic
henry gas solubility optimization
hybrid optimization
sliding mode control
url https://dergipark.org.tr/en/download/article-file/4510317
work_keys_str_mv AT adnanderdiyok modellingandchaoticbasedparameteroptimizationofslidingmodecontroller
AT sezginkacar modellingandchaoticbasedparameteroptimizationofslidingmodecontroller
AT onurdemirel modellingandchaoticbasedparameteroptimizationofslidingmodecontroller
AT muhammedsalihsarıkaya modellingandchaoticbasedparameteroptimizationofslidingmodecontroller