一类离散混沌系统的传输受限同步问题  

Synchronization for a class of discrete-time chaotic control systems under communication constraints

作　　者：刘伟 王岩岩[1] 汪志鸣[2] 

机构地区：[1]周口师范学院数学与统计学院,河南周口466001 [2]华东师范大学数学系应用数学与交叉学科研究中心,上海200241

出　　处：《控制理论与应用》2014年第8期1128-1132,共5页Control Theory & Applications

基　　金：国家自然科学基金资助项目(11171113);周口师范学院青年基金重点资助项目(zknuc0201);广西高校科学技术2013年度研究资助项目(2013LX018)

摘　　要：研究了一类离散混沌系统信息受限条件下的同步问题.将具有离散形式的混沌驱动系统和具有控制输入的响应系统通过一个有限容量信道的通讯网络进行连接.在这种情况下,设计了合适的编解码方法使得传输误差在一定的条件下达到渐近稳定.同时,在线性矩阵不等式条件下,获得了同步误差方程关于传输误差是输入状态稳定,从而实现了混沌系统在信道容量有限条件下的完全同步.最后,通过Fold混沌系统验证了本文方法的有效性.We investigate the controlled synchronization problem for a class of discrete-time chaotic systems subject to limited communication capacity.A chaotic master system and response system with a controller are connected via a limited capacity channel.In this case,a practical coder-decoder pair is designed such that the transmission error decays to zero exponentially under proper conditions.Meanwhile,input-to-state stability of the synchronization error system with regard to the transmission error is obtained under a proposed linear matrix inequality condition.Thus,the complete synchronization between the master system and the slave system can be reached via a limited communication channel.Asimulation example for the Fold chaotic system is presented to illustrate the effectiveness of the proposed method.

关 键 词：混沌系统 同步 离散系统 信息受限 线性矩阵不等式 

分 类 号：O415.5[理学—理论物理] TN918[理学—物理]