Finite-time stabilization of Chameleon hidden hyperchaotic flows

Abstract

The Chameleon hidden chaotic system is a chaotic system with exciting and particular properties. One of its specific features is that by changing its constant parameters, the flow exhibits three classes of hidden attractors containing one stable equilibrium, line of equilibria, or no equilibria, and self-excited attractors. In this paper, a new Chameleon hidden hyperchaotic flow is proposed and the corresponding hidden attractors and self-excited attractor are evaluated. Then, a new super-twisting fast terminal adaptive sliding mode control technique is suggested for finite-time stability of Chameleon hidden hyperchaotic flows. Dynamics of this chaotic system with different values of constant parameters has been studied using phase portraits, stability analysis and bifurcation diagrams. Descriptive simulations on the Chameleon hidden hyperchaotic system with external disturbances and parametric uncertainties are presented to approve the effectiveness of the proposed method.