Control of Spatial Hyperchaos in Higher Order MIMO Cascade Nonlinear Systems

Abstract

In this paper, dynamics of higher order multiple input multiple output (MIMO) cascade nonlinear systems, MIMOn, (n>3), is analyzed using simulation of bifurcation and Lyapunov diagrams and spatial phase portraits. One of the characteristics of these systems is the possibility of spatial hyperchaos appearance. Control of spatial hyperchaos in MIMOn systems using modified Pyragas method is analyzed, also. The results are illustrated by example of MIMO6 system.