A new approach for controlling chaotic economic systems based on predictive control

For chaotic economic systems with multi-parameters, we introduce the predictive control into the control of chaotic economic systems and propose a small parameters perturbations control algorithm based on predictive control. By making small control parameters perturbations, which is achieved by solving a constrained nonlinear programming problem, the chaotic motion in an unknown chaotic system is stabilized onto the desired unstable fixed point. The proposed control system has much faster response, so it requires much shorter time to stabilize the chaotic system. The algorithm is simple. The convergence of the control algorithm and the stability of the control system can be guaranteed. The theoretic analysis and simulation demonstrate the effectiveness of the approach.