Abstract:
In this paper, we introduce the predictive control theory into the control of chaotic systems and propose a small parameter perturbations control algorithm based on predictive control. By making small control parameter perturbations, the chaotic motion in an unknown chaotic system is stabilized onto the unstable fixed point. Compared with the existing similar algorithms, the proposed control system has much faster response, so it requires much shorter time to stabilize the chaotic system. The proposed approach can control hyperchaos and the algorithm is simple. The convergence of the control algorithm and the stability of the control system can be guaranteed. The theoretic analysis and simulations demonstrate the effectiveness of the approach.