Controlling Chaotic Dynamical Systems via OGY Control Method Based on Targeting

摘要

The Ott-Geobogi-Yorky (OGY) method of controlling chaos can be carried out on experimental data using a small perturbation of the accessible parameters. However, in some applications this technique requires a long time to approach a given target. In order to reduce the waiting time and supervise chaotic trajectories rapidly to a desired state, we present a new OGY control method based on targeting. The targeting procedure can use the exponential sensitivity of a chaotic process to tiny perturbations in accessible control parameter. When a trajectory enters the neighborhood for stabilization of the target, we use OGY method and apply a small perturbation to the system in the direction of the unstable manifold. The above approach for controlling chaotic dynamical systems is studied. A well-known chaotic system, Hé non map, is taken as an example. The simulation results demonstrate the effectiveness of the proposed control scheme.