Controlling chaos motion to approach arbitrary objective orbit by bp neural network

The chaos control of nonlinear dynamic system is investigated. A 4-layers BP neural network was designed and trained to approximate the nonlinear functions. Based on the BP neural network, a control method was presented and proven. For Lorenz and Rossler system, the method was applied to control their chaos motion respectively. The results show that the control method can control the chaos motion in X, Y and Z directions to approach respectively different objective orbits and the control effects can be realized in a short period. The method was also applied to the SFD rotor, which shows it can control the chaos running to move towards the expected periodic motion directly.