A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design

• Autorzy: Vaidyanathan S. , Jafari S. , Pham V.-T. , Azar A. T. , Alsaadi F. E.

Identyfikatory

DOI

10.24425/123458

• Języki publikacji: EN

Abstrakty

EN

A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.

Słowa kluczowe

EN

chaos; chaotic systems; hyperjerk systems; hidden attractors; adaptive control; backstepping control; circuit design

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2018
• Tom: Vol. 28, No. 2
• Strony: 239--254
• Opis fizyczny: Bibliogr. 44 poz., rys., wykr., wzory

Twórcy

autor

Vaidyanathan S.

• Research and Development Centre, Vel Tech University, Avadi, Chennai-600062, Tamil Nadu, India.

autor

Jafari S.

• Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran.

autor

Pham V.-T.

• Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City

autor

Azar A. T.

• Faculty of Computers and Information, Benha, Egypt, School of Engineering and Applied Sciences, Nile University, Sheikh Zayed District, 6th of October, Giza, Egypt

autor

Alsaadi F. E.

• Department of Information Technology, Faculty of Computing and IT, King Abdulaziz University, Jeddah, Saudi Arabia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).