基于Min-Max方法的混沌系统采样同步控制研究  

Sampled-data synchronization control of chaotic systems based on min-max approach

作　　者：任涛[1] 朱志良[1] 于海[1] 王猛[2] 

机构地区：[1]东北大学,软件学院,沈阳110011 [2]东北大学,信息科学与工程学院,沈阳110011

出　　处：《物理学报》2013年第17期128-135,共8页Acta Physica Sinica

基　　金：国家自然科学基金青年科学基金(批准号:61104074);中国博士后科学基金(批准号:20100471462,2013T60294);中央高校基本科研业务费专项资金(批准号:N100317002,N100604007,N110417004,N110417005,N110617001);辽宁省博士启动基金(批准号:20101032)资助的课题~~

摘　　要：针对含有扰动的混沌系统,设计采样同步控制器,利用输入时滞法将含有采样同步控制器的混杂系统转换为具有输入时滞的连续系统.并考虑对系统影响最坏的干扰程度,在该种情况下,基于线性矩阵不等式(LMI)技术和min-max鲁棒控制方法,给出了使误差系统稳定的充分条件,确保混沌系统在所容许的扰动下均能实现完全同步.仿真结果说明所设计的采样同步控制方案具有很强的鲁棒性,适合应用于保密通信系统中.For the chaotic systems with disturbance, a sampled-data controller is designed to achieve chaotic synchronization. Firstly, to handle the discontinuity introduced by the sampling activities, the input-delay approach is introduced to transform the discontinuous chaotic systems into continuous ones. Secondly, the worst possible case of performance is considered according to min-max robust strategy. Then the sufficient conditions for global asymptotic synchronization of such chaotic systems are derived and expressed in terms of linear matrix inequality （LMI）. The proposed algorithm can achieve synchronization of the sampled-data chaotic systems for all admissible disturbances at the pre-computed set of disturbance realizations. The effectiveness is finally illustrated via numerical simulations of chaotic Chua＇s circuit, and the simulation results show that the proposed algorithm is suitable for secure communication.

关 键 词：混沌同步 采样控制 min—max方法 输入时滞 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]