Chen kaotik sisteminin adaptif kontrolü

Öz

Bu çalışmada, Chen kaotik sisteminin dinamik davranışları incelenmiş ve bu sistem için adaptif bir kontrol stratejisi geliştirilmiştir. Adaptif kontrol teknikleri, sistem parametrelerindeki belirsizlikleri ve dış bozucuları telafi ederek sistemin kararlı bir duruma ulaşmasını sağlar. Kontrol algoritması Chen kaotik sisteminin başlangıç parametlerinde oynama yaparak sistemi istenilen referans durumlarına yönlendirir. Chen kaotik sisteminde adaptif kontrol, sistemin kaotik dinamiklerini bastırmak veya belirli bir referans durumuna yönlendirmek amacıyla kullanılan etkili bir yöntemdir. Böylece Chen sisteminin kaotik davranışı kontrol altına alınarak mühendislik ve güvenlik uygulamalarında kullanılmak üzere daha kararlı bir yapı elde edilir. Geliştirilen adaptif kontrol algoritması ile x, y ve z durum değişkenleri belirlenen referans noktalarında stabilize edilmiştir. Başlangıçta yüksek genlikli ve düzensiz salınımlar sergileyen sistem, zamanla adaptif kontrol etkisiyle sönümlenmiş ve her üç durum değişkeni referans değer seçilen sıfıra doğru yönelmiştir. Bu durum, sistemin kaotik davranışının bastırıldığını ve kontrol algoritmasının etkin biçimde çalıştığını göstermektedir. Simülasyon sonuçlarında, geliştirilen adaptif kontrol yapısı, Chen sistemini kararlı hale getirmiş ve istenilen dinamik davranışı başarıyla sağlamıştır.

Anahtar Kelimeler

• Kaos
• Kaotik Sistemler
• Chen Kaotik Sistemi
• Adaptif Kontrol

Adaptive control of Chen chaotic system

Abstract

In this study, the dynamic behavior of the Chen chaotic system is investigated and an adaptive control strategy is developed for this system. Adaptive control techniques compensate for uncertainties in the system parameters and external disturbances to achieve a steady state. The control algorithm manipulates the initial parameters of the Chen chaotic system to steer the system to the desired reference states. Adaptive control in the Chen chaotic system is an effective method to suppress the chaotic dynamics of the system or to steer it to a specific reference state. Thus, the chaotic behavior of the Chen system is controlled and a more stable structure is obtained for use in engineering and security applications. With the developed adaptive control algorithm, the state variables x, y and z are stabilized at specified reference points. The system, which initially exhibits high amplitude and irregular oscillations, is damped over time by the adaptive control effect and all three state variables tend towards zero, which is chosen as the reference value. This shows that the chaotic behavior of the system is suppressed and the control algorithm works effectively. In the simulation results, the developed adaptive control structure stabilized the Chen system and successfully achieved the desired dynamic behavior.

Keywords

• Chaos
• Chaotic Systems
• Chen Chaotic System
• Adaptive Control

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