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Journals / ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE / 2021 / Cilt: 9 - Sayı: 2

Control of Lorenz Chaotic System with Linear Feedback, High Gain, High Frequency and Model Predictive Control

Lorenz Kaotik Sisteminin Doğrusal Geri Beslemeli, Yüksek Kazanç, Yüksek Frekans ve Model Öngörülü Kontrol ile Denetlenmesi

MURAT ERHAN ÇİMEN
Muhammed Ali PALA
ÖMER FARUK BOYRAZ
Zeynep GARİP
Akif AKGÜL
Mustafa Zahid YILDIZ
ALİ FUAT BOZ
Pages
314–323
DOI
—
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AI Summary & Key Takeaways

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

As a result, it has been shown that this type of nonlinear control methods can control the Lorenz chaotic system, and then the advantages and disadvantages are discussed in the results section and information about future studies is given

📌 3 Key Takeaways

🎯
Objective & Hypothesis:There are many control methods for systems that have been developed and continued to be developed, linear or non-linear, timevarying or invariant.
📊
Key Findings & Data:In addition, the control laws produced for the Lorenz system in the literature were used and comparisons were made in terms of performance.
💡
Conclusion & Impact:As a result, it has been shown that this type of nonlinear control methods can control the Lorenz chaotic system, and then the advantages and disadvantages are discussed in the results section and information about future studies is given
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

There are many control methods for systems that have been developed and continued to be developed, linear or non-linear, timevarying or invariant. In this study, in the control of the nonlinear Lorenz Chaotic system, model predictive control method with integrator action, which has not been applied to this system before, is applied. In addition to this method, different nonlinear control methods were applied to the same system and the control of the Lorenz Chaotic system was realized. Feedback control, high gain control, high frequency control and model predictive control techniques are used in the selected control methods. In addition, the methods used were obtained mathematically and their advantages and disadvantages were revealed. In addition, the control laws produced for the Lorenz system in the literature were used and comparisons were made in terms of performance. As a result, it has been shown that this type of nonlinear control methods can control the Lorenz chaotic system, and then the advantages and disadvantages are discussed in the results section and information about future studies is given

Özet

Günümüze kadar gelişen ve geliştirilmeye devam edilen, doğrusal veya doğrusal olmayan, zamanla değişen veya zamanla değişmeyen sistemler için birçok kontrol yöntemleri bulunmaktadır. Bu çalışmada doğrusal olmayan Lorenz Kaotik sisteminin kontrolünde daha önceden bu sisteme uygulanmamış olan integratör içeren model öngörülü kontrol yöntemi uygulamıştır. Bu yöntemin yanı sıra aynı sisteme farklı doğrusal olmayan kontrol yöntemleri de uygulanarak Lorenz Kaotik sisteminin kontrolü gerçekleştirilmiştir. Seçilen kontrol yöntemlerinde geri beslemeli kontrol, yüksek kazanç kontrol, yüksek frekans kontrol ve model öngörülü kontrol teknikleri kullanılmıştır. Ayrıca kullanılan yöntemler matematiksel olarak elde edilmiş, avantaj ve dezavantajlarını ortaya konulmuştur. Ayrıca literatürde Lorenz sistemi için üretilmiş olan kontrol kuralları kullanılarak performans açısından karşılaştırmalar yapılmıştır. Sonuçta doğrusal olmayan bu tip kontrol yöntemlerinin Lorenz kaotik sisteminin kontrol edebildiği gösterilmiş. Ardından avantaj ve dezavantajları sonuçlar bölümünde tartışılmış ve ileriye yönelik çalışmalar hakkında bilgiler verilmiştir.

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Cite This Article

ÇİMEN, M. E., PALA, M. A., BOYRAZ, Ö. F., GARİP, Z., AKGÜL, A., YILDIZ, M. Z., BOZ, A. F. (2021). Control of Lorenz Chaotic System with Linear Feedback, High Gain, High Frequency and Model Predictive Control. ACADEMIC PLATFORM-JOURNAL OF ENGINEERING AND SCIENCE, Cilt: 9 - Sayı: 2, 314–323. https://ajindex.com/articles/354821

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