Duffing系统的同步化控制研究

本文研究含有未知参数的Duffing系统的同步化控制问题．首先，研究了系统参数已知情况下的同步化控制问题．其次，考虑了系统参数未知情况下的同步化控制问题；由于直接处理该问题比较困难，我们在控制法则中引入了可变参数来代替未知参数，该参数可由完善的自适应法则获得．再次，通过理论证明给出了控制目标，该控制目标可由提出的控制法则来实现．最后，用一些仿真实例证实了该方法的有效性．

Synchronization Control for Duffing System

The problems of synchronization and control of Dtrffing system with uncertain parameters are considered. Firstly, the synchronization and control problems are discussed when the system parameters are known. Secondly, the same problems with unknown system parameters are considered. Since it is difficult to deal with this problem directly, the vector of adjustable parameters, which can be obtained by using the developed adaptive law, is introduced to replace the unknown parameters in the control law. Thirdly, theoretical proofs are given to show that the controlled goal can be achieved using the presented control law.. Finally, several simulation examples are presented to show the effectiveness of the proposed method.