Dynamic Properties and Chaos Control of a High Dimensional Double Rotor Model

In this paper, a high dimensional double rotor model is proposed. We establish its dynamic equations, and simply it into a four-dimensional mapping form. The bifurcations of the double rotor mapping under different control parameters are investigated. The chaotic dynamic behavior of the model is controlled by improving the pole assignment method. With the linear control theory, a control parameter is selected and the period-1 is chosen as control target. When the mapping point wanders to the neighborhood of the periodic point, the control parameter is perturbed. The unstable period-1 orbit is controlled to be a stable periodic orbit. Numerical simulations are consistent with the theoretical analysis. The results of this research show that this chaos control method can be applied to the 4-dimensional model and can be realized.The research results indicate when the selected regulator poles are different, the control times are different.