连续及采样异结构混沌同步控制

Continuous-time and Sampled-data Synchronization Control of Chaotic with Diverse Structures

研究了一类异结构混沌全状态同步控制问题。分别以Coullet系统与Rossler系统为目标和响应系统,采用backstepping方法设计了保持两系统之间所有状态同步的连续时间控制器,为了把连续控制器更好地应用到计算机采样控制系统中,在连续控制器设计的基础之上,基于采样系统实用半局渐近稳定理论,又进行了采样同步控制器的再设计研究。仿真结果证明了所设计的连续及采样同步控制器的有效性,并进一步表明所设计的采样同步控制器,与由连续控制器直接离散化所得的控制器相比,具有更快的收敛速度,而且在保证系统稳定的前提下还具有更宽的采样周期选择范围。

The problem of chaotic synchronization with diverse structures is studied.To coullet system and Rossler system with diverse structures,a backstepping controller is presented to keep the synchronization between the two chaotic systems.The sampled-data controller is redesigned based on the former continuous-time controller and the semiglobal practical asymptotic stability theory.The simulations results verify the effectiveness of the two controllers.Further more,compared with the performances of the controller obtained from the discretization of the continuous-time one directly,the sampled-data synchronization controller has some better performances,such as the higher convergence rate,and a larger sampling period can choose under the premise of stabilization.