Synchronization of a 4D Hyperchaotic System with Active Disturbance Rejection Control and Its Optimization via Particle Swarm Algorithm

Yıl 2024, Cilt: 24 Sayı: 2, 465 - 475, 29.04.2024

Erdem İlten

https://doi.org/10.35414/akufemubid.1379669

Öz

In this paper, a synchronization study is proposed by using a 4D hyperchaotic system model to be used in secure data transfer applications. Active Disturbance Rejection Control (ADRC) method is used for synchronization process. To prove the success of ADRC method, it is compared with Proportional-Integral-Derivative (PID) control method. The coefficients of both control methods are optimized with Particle Swarm Optimization (PSO) algorithm. Synchronization system is modelled and tested in Matlab/Simulink environment. ADRC and PID methods are tested in simulation environment for the cases without disturbance and under disturbance. It can be seen from the test results that the ADRC method managed to keep the system synchronous without being affected by any disturbances. On the other hand, it is clearly seen that the PID method cannot maintain the synchronization of system under disturbance effects.

Anahtar Kelimeler

Chaotic system, Synchronization, ADRC, PID, PSO

Destekleyen Kurum

Balikesir University

Proje Numarası

BAP-2023/179

Teşekkür

The authors would like to thank the anonymous reviewers for their valuable comments. This work was funded by Balikesir University under research grant BAP-2023/179.

4D Hiperkaotik Sistemin Aktif Bozucu Reddetme Kontrolü ile Senkronizasyonu ve Parçacık Sürü Algoritması ile Optimizasyonu

Öz

Bu çalışmada, güvenli veri aktarım uygulamalarında kullanılmak üzere 4 boyutlu hiperkaotik sistem modeli kullanılarak bir senkronizasyon çalışması önerilmektedir. Senkronizasyon işlemi için Aktif Bozucu Reddetme Kontrolü (Active Disturbance Rejection Control (ADRC)) yöntemi kullanılmaktadır. ADRC yönteminin başarısının kanıtlanması için Oransal-İntegral-Türev (Proportional-Integral-Derivative (PID)) kontrol yöntemiyle karşılaştırması yapılmıştır. Her iki kontrol yönteminin katsayıları Parçacık Sürü Optimizasyonu (Particle Swarm Optimization (PSO)) algoritması ile optimize edilmiştir. Senkronizasyon sistemi Matlab/Simulink ortamında modellenip test edilmiştir. ADRC ve PID yöntemleri, bozucunun olmadığı ve bozucunun olduğu durumlar için simülasyon ortamında test edilmektedir. ADRC yönteminin, sistemi herhangi bir bozulmadan etkilenmeden senkron tutmayı başardığı test sonuçlarında görülmektedir. Öte yandan PID yönteminin, bozucu etkiler altında sistemin senkronizasyonunu sağlayamadığı açıkça görülmektedir.

Anahtar Kelimeler

Kaotik sistem, Senkronizasyon, ADRC, PID, PSO

Proje Numarası

BAP-2023/179

Kaynakça

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