Chaos control in Lorenz systems based on adaptive inverse control of support vector machines

A newly developed chaos control method based on adaptive inverse control of support vector machines (SVM) is proposed which has the excellent nonlinearity approximation ability and better generalization performance. In this control strategy, an identifier is established based on support vector regression and under the invertible condition of control process a controller also designed. It is guaranteed that under the proposed control strategy, uncertain Lorenz system can drive the system state exactly to some specific points. Illustrative examples are used to demonstrate the effectiveness of the proposed design method