不确定单模激光Lorenz系统函数投影同步控制研究

缪盛, 花世群

缪盛, 花世群. 不确定单模激光Lorenz系统函数投影同步控制研究[J]. 应用光学, 2010, 31(1): 156-160.
引用本文: 缪盛, 花世群. 不确定单模激光Lorenz系统函数投影同步控制研究[J]. 应用光学, 2010, 31(1): 156-160.
shu
MIAO Sheng, HUA Shi-qun. Function projection synchronization control of uncertain single-mode laser Lorenz system[J]. Journal of Applied Optics, 2010, 31(1): 156-160.
Citation: MIAO Sheng, HUA Shi-qun. Function projection synchronization control of uncertain single-mode laser Lorenz system[J]. Journal of Applied Optics, 2010, 31(1): 156-160.
shu

不确定单模激光Lorenz系统函数投影同步控制研究

  • 江苏大学理学院,江苏镇江212013

详细信息
    通讯作者:

    缪盛(1984-)，男, 江苏常州人，硕士研究生,主要从事非线性光学与混沌同步研究工作。

  • 中图分类号: TN249

Function projection synchronization control of uncertain single-mode laser Lorenz system

  • Faculty of Science,Jiangsu University,Zhenjiang 212013,China

摘要

    摘要
  • 摘要: 基于Lyapunov稳定性理论，以不确定单模激光Lorenz系统作为驱动系统，不确定Chen系统作为响应系统，利用自适应控制方法，设计了非线性反馈控制器及参数识别器，使响应系统的所有状态变量严格地按函数比例跟踪驱动系统的混沌轨迹，并辨识出包括非线性项在内的驱动系统和响应系统的所有不确定参数。利用四阶龙格库塔仿真模拟，结果表明了该方法的有效性，设计的函数投影同步控制的方法能更有效地提高保密通信的性能。
    Abstract: Based on the Lyapunov stability theory, the nonlinear feedback controller and parameter recognizer were designed with the adaptive control method. The uncertain single-mode laser Lorenz system is taken as the drive system and the uncertain Chen system as the response system in the design, which makes all the status variable of the response system to follow the chaotic path of the drive system strictly in function proportion, and recognizes all the uncertain parameters including unknown coefficients of nonlinear terms of the drive and response systems. The result obtained by the four-order RungeKutta simulation indicates the effectiveness and feasibility of the method, and proves that the function projection synchronization control can improve the performance of the secure communication.
    • HTML全文
    • 参考文献(1)
  • ［1］AGIZA H N, YASSEN M T. Sychronization of rossler and Chen chaotic dynamical systems using active control［J］.Physics Letter A,2001,278(1):191-197.
    ［2］WANG Xiao-fan,CHEN Guang-rong. Generation topologically conjugate chaotic systems via feedback control［J］.IEEE Trans. Circ. Syst.,2003,50(6):812-817.
    ［3］李钢.单模激光Lorenz系统与3D混沌系统之间的混沌同步［J］.光子学报,2007,36(5):808-811.
    LI Gang. Chaos synchronization between single-mode laser Lorenz system and 3D chaotic system［J］. Acta Photonica Sinica, 2007,36(5):808-811.(in Chinese with an English abstract)
    ［4］HU J, CHEN S H, CHEN L.Adaptive control for anti-synchronization of Chua’s chaotic system［J］. Physics Letters A, 2005,339(3):455-460.
    ［5］SAWALHA A A.Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters［J］. Chaos, Solitons and Fractals,2009,42(3):1926-1932.
    ［6］李勇,毕勤胜.连续搅拌槽式反应器中自催化化学反应的延迟同步［J］. 物理学报, 2008,57:6099-6102.
    LI Yong, Bi Qin-sheng. Lag synchronization of autocatalytic chemical reaction in continuous stirred tank reactors［J］. Acta Physica Sinica,2008,57:60996102. (in Chinese with an English abstract)
    ［7］LI G H. Generalized projective synchronization be-tween Lorenz system and Chen’s system［J］. Chaos Solitons Fractals, 2007,32(4):1454-1458.
    ［8］MAINIERI R, REHACEK J. Projective synchron-ization in three-dimensioned chaotic systems［J］. Phys. Rev. Lett., 1999,82(1):3042-3045.
    ［9］CHEN Y, AN H L, LI Z B. The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems［J］.Applied Mathematics and Computation, 2008,197(1):96-110.
    ［10］RUNZI L. Adaptive function project synchroni-zation of Ro··ssler hyperchaotic system with uncertain parameters［J］.Physics Letters A, 2008,372(20): 3667-3671.
    ［11］栾玲.单模激光Lorenz系统反同步控制研究［J］.应用光学,2008,29(3)：428-432.
    LUAN Ling. Anti-synchronization control of single-mode laser Lorenz system［J］. Journal of Applied Optics,2008,29(3):428-432. (in Chinese with an English abstract)
    ［12］冯立军,谷德桥.异结构不确定混沌系统的同步控制与参数识别［J］.应用光学,2008,29(1)：156-159.
    FENG Li-jun, GU De-qiao. Synchronization control and parameter identification for uncertain chaotic systems with diverse structures［J］. Journal of Applied Optics,2008,29(1):156-159. (in Chinese with an English abstract)
    ［13］栾玲,冯立军.利用单模激光Lorenz系统实现混沌反控制［J］.光子学报,2007,36(10):1833-1836.
    LUAN Ling,FENG Li-jun. Chaotic anti-control using single-mode laser Lorenz system［J］. Acta Photonica Sinica, 2007,36(10):1833-1836. (in Chinese with an English abstract)
    ［14］JIN L, ZHOU T S, ZHANG S C. Chaos synch-ronization between linearly coupled chaotic systems［J］. Chaos, Solitons and Fractals, 2002,14(2):529-541.
    • 相关文章
    • 施引文献
    • 资源附件(0)
计量
  • 文章访问数:  3184
  • HTML全文浏览量:  114
  • PDF下载量:  934
  • 被引次数: 0
出版历程
  • 刊出日期:  2010-01-14

目录

摘要
HTML全文
    参考文献(1)
    相关文章
    施引文献
    资源附件(0)

    /

    返回文章
    返回

    相关数据库

    广告合作

    友情链接

    帮助中心

    扫描关注本刊微信平台

    您是第  2899402位访问者，欢迎！

    地址: 西安市电子三路西段9号 邮政编码: 710065 联系电话: 029-88288172

    版权所有 © 《应用光学》编辑部

    陕公网安备 61011302001501号       陕ICP备19002862号-1

    北京仁和汇智信息技术有限公司 开发  技术支持: info@rhhz.net   百度统计