A New Chaotic Plant with Torso-Like Rest Points

Abstract

A new dynamical system exhibiting chaos and a torso-like set of rest points is reported in this research work. In more detail, the rest points of the new chaotic nonlinear plant are a pair of open curves of rest points that are symmetric about the coordinate axes. Qualitative dynamical properties shedding more light on the dynamical texture of the system are displayed with phase plots. The new chaotic plant displays hidden attractor as it features infinite number of rest points. Using integral sliding mode control, we have also discussed the regulation of the states of the new nonlinear plant to set-point controls.