A new chaotic dynamical system with a hyperbolic curve of rest points, its complete synchronisation via integral sliding mode control and circuit design
by Sundarapandian Vaidyanathan; Aceng Sambas; Chang-Hua Lien; Babatunde A. Idowu
International Journal of Modelling, Identification and Control (IJMIC), Vol. 33, No. 3, 2019

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.

Online publication date: Mon, 23-Mar-2020

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