| 引用本文: | 刘伟,王岩岩,汪志鸣.一类离散混沌系统的传输受限同步问题[J].控制理论与应用,2014,31(8):1128~1132.[点击复制] |
| LIU Wei,WANG Yan-yan,WANG Zhi-ming.Synchronization for a class of discrete-time chaotic control systems under communication constraints[J].Control Theory and Technology,2014,31(8):1128~1132.[点击复制] |
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| 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 |
| 摘要点击 1981 全文点击 1155 投稿时间：2013-08-04 修订日期：2014-03-05 |
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| DOI编号 10.7641/CTA.2014.30818 |
| 2014,31(8):1128-1132 |
| 中文关键词 混沌系统 同步 离散系统 信息受限 线性矩阵不等式 |
| 英文关键词 chaotic systems synchronization discrete-time systems information constraints linear matrix inequality |
| 基金项目 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). |
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| 中文摘要 |
| 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. |
| 英文摘要 |
| 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. A simulation example for the Fold chaotic system is presented to illustrate the effectiveness of the proposed method. |