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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2023 / Cilt: 13 - Sayı: 1

The processes with fractional order delay and PI controller design using particle swarm optimization

Hasan Birdane
Münevver Mine Özyetkin
Pages
81–91
Publication Date
2023-12-17
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Besides, a solution to the question of which controller parameter values should be selected in the stability region, which provides the calculation of all stabilizing PI controllers, is proposed using the PSO algorithm.

📌 3 Key Takeaways

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Objective & Hypothesis:In this study, the stability analysis of systems with fractional order delay is presented.
📊
Key Findings & Data:In addition, the unit step responses have been examined to evaluate the systems' performances.
💡
Conclusion & Impact:Besides, a solution to the question of which controller parameter values should be selected in the stability region, which provides the calculation of all stabilizing PI controllers, is proposed using the PSO algorithm.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the stability analysis of systems with fractional order delay is presented. Besides, PI controller design using particle swarm optimization (PSO) technique for such systems is also presented. The PSO algorithm is used to obtain the controller parameters within the stability region. As it is known that it is not possible to investigate the stability of systems with fractional order delay using analytical methods such as the Routh-Hurwitz criterion. Furthermore, stability analysis of such systems is quite difficult. In this study, for stability testing of such systems, an approximation method previously introduced in the literature by the corresponding author is used. In addition, the unit step responses have been examined to evaluate the systems' performances. It should be noted that examining unit step responses of systems having fractional-order delay is not possible due to the absence of analytical methods. One of the aims of this study is to overcome this deficiency by using the proposed approximation method. Besides, a solution to the question of which controller parameter values should be selected in the stability region, which provides the calculation of all stabilizing PI controllers, is proposed using the PSO algorithm.

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Cite This Article

Birdane, H., Özyetkin, M. M. (2023). The processes with fractional order delay and PI controller design using particle swarm optimization. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 13 - Sayı: 1, 81–91. https://doi.org/10.11121/ijocta.2023.1223

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