Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system

• Autorzy: Vaidyanathan S. , Volos C.

Identyfikatory

DOI

10.1515/acsc-2015-0022

• Języki publikacji: EN

Abstrakty

EN

First, this paper announces a seven-term novel 3-D conservative chaotic system with four quadratic nonlinearities. The conservative chaotic systems are characterized by the important property that they are volume conserving. The phase portraits of the novel conservative chaotic system are displayed and the mathematical properties are discussed. An important property of the proposed novel chaotic system is that it has no equilibrium point. Hence, it displays hidden chaotic attractors. The Lyapunov exponents of the novel conservative chaotic system are obtained as L₁ = 0.0395, L₂ = 0 and L₃ = −0.0395. The Kaplan-Yorke dimension of the novel conservative chaotic system is D_KY =3. Next, an adaptive controller is designed to globally stabilize the novel conservative chaotic system with unknown parameters. Moreover, an adaptive controller is also designed to achieve global chaos synchronization of the identical conservative chaotic systems with unknown parameters. MATLAB simulations have been depicted to illustrate the phase portraits of the novel conservative chaotic system and also the adaptive control results.

Słowa kluczowe

EN

chaos; chaotic system; conservative chaotic system; adaptive control; synchronization

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2015
• Tom: Vol. 25, no. 3
• Strony: 333--353
• Opis fizyczny: Bibliogr. 73 poz., rys., wykr., 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, Thessaloniki, GR-54124, Greece

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