基于预测控制的混沌系统参数微调控制方法

SMALL PARAMETER PERTURBATIONS CONTROL ALGORITHM OF CHAOTIC SYSTEMS BASED ON PREDICTIVE CONTROL

  • 摘要: 本文将预测控制理论引入混沌系统的控制研究中,提出一种基于预测控制的混沌系统参数微调控制方法,通过对控制参数进行微调,将模型未知时的混沌运动稳定到系统的不稳定不动点处.与现有同类方法相比,本控制系统具有快得多的响应速度,需要较短的时间就能实现混沌系统的控制.本方法能够控制超混沌系统,算法简便,控制算法的收敛性和控制系统的稳定性能够保证,理论分析和仿真实验都表明了本方法的有效性.

     

    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.

     

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