Chaos Control of Lozi Mapping

Abstract

In this paper, the chaos control of Lozi mapping is carried out through the improved OGY method. By establishing linear mapping and applying the pole placement technique of the linear control theory, small time-dependent perturbations of a control parameter are selected. Unstable periodic orbits embedding in the chaos attractor are examined firstly, and then the period one orbit is chosen as a control target. When map point wanders to the neighborhood of the periodic point, system control parameter is perturbed. The unstable period one point is controlled to be the stable periodic orbit. At the same time, the different choice of the regulator poles is analyzed. Using numerical simulation, the effectiveness of the method is demonstrated.