Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities

• Autorzy: Vaidyanathan S. , Volos C. , Pham V.-T. , Madhavan K. , Idowu B. A.

Identyfikatory

DOI

10.2478/acsc-2014-0022

• Języki publikacji: EN

Abstrakty

EN

In this research work, a six-term 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities has been proposed, and its qualitative properties have been detailed. The Lyapunov exponents of the novel jerk system are obtained as L₁ = 0.07765,L₂ = 0, and L₃ = −0.87912. The Kaplan-Yorke dimension of the novel jerk system is obtained as D_KY = 2.08833. Next, an adaptive backstepping controller is designed to stabilize the novel jerk chaotic system with two unknown parameters. Moreover, an adaptive backstepping controller is designed to achieve complete chaos synchronization of the identical novel jerk chaotic systems with two unknown parameters. Finally, an electronic circuit realization of the novel jerk chaotic system using Spice is presented in detail to confirm the feasibility of the theoretical model.

Słowa kluczowe

EN

chaos; jerk system; novel system; adaptive control; backstepping control; chaos synchronization

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2014
• Tom: Vol. 24, no. 3
• Strony: 375--403
• Opis fizyczny: Bibliogr. 71 poz., rys., wzory

Twórcy

autor

Vaidyanathan S.

• Research and Development Centre, Vel Tech University, Avadi, Chennai- 600062, Tamilnadu, India

autor

Volos C.

• Physics Department, Aristotle University of Thessaloniki, GR-54124, Greece

autor

Pham V.-T.

• School of Electronics and Telecommunications, Hanoi University of Science and Technology 01 Dai Co Viet, Hanoi, Vietnam

autor

Madhavan K.

• Department of Mathematics, Vel Tech University, Avadi, Chennai- 600062, Tamilnadu, India

autor

Idowu B. A.

• Department of Physics, Lagos State University, Ojo, Lagos, Nigeria

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