Title: A new chaotic dynamical system with a hyperbolic curve of rest points, its complete synchronisation via integral sliding mode control and circuit design

Authors: Sundarapandian Vaidyanathan; Aceng Sambas; Chang-Hua Lien; Babatunde A. Idowu

Addresses: Research and Development Centre, Vel Tech University, Chennai-600062, Tamil Nadu, India ' Department of Mechanical Engineering, Universitas Muhammadiyah Taskimalaya, Tasikmalaya, Jawa Barat 46196, Indonesia ' Department of Marine Engineering, National Kaohsiung University of Science and Technology, Kaohsiung, 811, Taiwan ' Nonlinear Dynamics Research Group, Department of Physics, Federal University of Agriculture, P.M.B. 2240, Abeokuta, Nigeria

Abstract: A new 3-D dynamical system exhibiting chaos is introduced in this work. The proposed nonlinear plant with chaos has a hyperbola of rest points. Thus, the new nonlinear plant exhibits hidden attractors. A detailed dynamic analysis of the new nonlinear plant using bifurcation diagrams is described. The new nonlinear plant shows multi-stability and coexisting attractors. Synchronisation result of the new nonlinear plant with itself is achieved using integral sliding mode control (ISMC). Finally, a circuit model using MultiSim of the new 3-D nonlinear plant with chaos is carried out for practical use.

Keywords: chaos; chaotic systems; circuit design; synchronisation.

DOI: 10.1504/IJMIC.2019.105967

International Journal of Modelling, Identification and Control, 2019 Vol.33 No.3, pp.198 - 207

Received: 22 Mar 2019
Accepted: 20 May 2019
Published online: 23 Mar 2020 *

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