Abstract: A synchronization method for chaotic systems based on the dynamic surface control and backstepping method is proposed.The first order lower pass filters are implemented by the virtual control in every backstepping design.The complexity arising from the ‘explosion of terms’ is avoided in the direct backstepping method.The synchronization problems of chaotic Genesio systems with parameters known and unknown are considered and given the controllers separately.The simulation results illustrate the effectiveness of the proposed scheme.

摘要： 提出了一种基于动态面逆推设计的混沌同步方法，在每一步逆推设计算法中的虚拟控制器结合使用了一阶低通滤波器，从而避免了对一些非线性项的重复求导，使得所设计的控制器克服了直接逆推方法的复杂性激增的缺点。对参数已知与未知的Genesio混沌系统分别采用该方法进行分析并给出相应的控制率。数值模拟与仿真结果说明该控制策略的有效性。