分数阶Chua's系统错位同步无感模块化电路实现及应用

邵书义; 闵富红; 马美玲; 王恩荣

doi:10.7498/aps.62.130504

摘要

基于分数阶混沌系统稳定性理论, 设计高效的非线性控制器, 实现初始值不同的两个分数阶Chua's系统错位投影同步. 根据分数阶复频域近似方法, 提出分数阶系统的等效电路, 实现分数阶Chua's系统错位投影同步的无感模块化电路. 最后,利用改进的混沌掩盖通信原理, 将以上同步方案应用于混沌保密通信中, 在发送端使用分数阶混沌序列对有用信号加密传送, 从接收端可以无失真地恢复出有用信号. 数值仿真与电路仿真证实了提出方案的可行性.

关键词:

Abstract

In this paper, from the stability theory of fractional-order chaotic system, a kind of dislocated projective synchronization for fractional-order Chua's system is successfully completed through a nonlinear controller. Meanwhile, the fractional-order unit circuit is designed, according to the series-parallel structure of resistor-capacitor and the approximate linear transfer function expression for the complex frequency domain. Thus, non-inductive modular circuit of dislocated projective synchronization of fractional-order Chua's system is realized. The circuit simulation results prove the feasibility of the scheme. Furthermore, the method can be applied in secure communication through the improved chaotic masking. The information signal can be concealed and recovered. Numerical simulation results show the effectiveness of the proposed method.

Keywords:

作者及机构信息

1.
南京师范大学电气与自动化工程学院, 南京 210042

基金项目: 国家自然科学基金(批准号: 51075275);教育部留学回国人员科研启动基金(批准号: 教外司[2012]1707号)和江苏省六大人才高峰资助的课题.

Authors and contacts

1.
School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51075275), the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China (Grant No. [2012]1707), and the Six Categories of Summit Talents of Jiangsu Province of China.

参考文献

[1]	Podlubny I 1999 Fractional Differential Align (New York: Academic)
[2]	Ivo P 2011 Fractional-order Nonlinear System: Modeling, Analysis and Simulation (Beijing: Higher Education Press)
[3]	Li C G, Chen G R 2004 Physica A 341 55
[4]	Lu J G 2006 Physica A 359 107
[5]	Lu J G 2006 Phys. Lett. A 354 305
[6]	Yu Y G, Li H X, Wang S 2009 Chaos Soliton. Fract. 42 1181
[7]	Min F H, Yu Y, Ge C J 2009 Acta Phys. Sin. 58 1456 (in Chinese) [闵富红, 余杨, 葛曹君 2009 物理学报 58 1456]
[8]	Zhou P, Kuang F 2010 Acta Phys. Sin. 59 6851 (in Chinese) [周平, 邝菲 2010 物理学报 59 6851]
[9]	Huang L L, Ma N 2012 Acta Phys. Sin. 61 160510 (in Chinese) [黄丽莲, 马楠 2012 物理学报 61 160510]
[10]	Ma T D, Jiang W B, Fu J, Chai Y, Chen L P, Xue F Z 2012 Acta Phys. Sin. 61 160506 (in Chinese) [马铁东, 江伟波, 浮洁, 柴毅, 陈立平, 薛方正 2012 物理学报 61 160506]
[11]	Min F H, Wang E R 2010 Acta Phys. Sin. 59 7657 (in Chinese) [闵富红, 王恩荣 2010 物理学报 59 7657]
[12]	Wang Z, Huang X, Li N, Song X N 2012 Chin. Phys. B 21 050506
[13]	Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. Circuits Systems 33 1072
[14]	Li J F, Li N, Cai L, Zhang B 2008 Acta Phys. Sin. 57 7500 (in Chinese) [李建芬, 李农, 蔡理, 张斌 2008 物理学报 57 7500]
[15]	Ji Y, Bi Q S 2010 Chin. Phys. B 19 080510
[16]	Hartley T T, Lorenzo C F, Qammer H K 1995 IEEE Trans. Circuits Systems 42 485
[17]	Charef A, Sun HH, Tsao YY, Onaral B 1992 IEEE Trans. Aut. Contr 37 1465
[18]	Wang F Q, Liu C X 2006 Acta Phys. Sin. 55 5055 (in Chinese) [王发强, 刘崇新 2006 物理学报 55 5055]
[19]	Milanovic V, Zaghloul M E 1996 Electronic Letters 32 11

施引文献

[1]	Podlubny I 1999 Fractional Differential Align (New York: Academic)
[2]	Ivo P 2011 Fractional-order Nonlinear System: Modeling, Analysis and Simulation (Beijing: Higher Education Press)
[3]	Li C G, Chen G R 2004 Physica A 341 55
[4]	Lu J G 2006 Physica A 359 107
[5]	Lu J G 2006 Phys. Lett. A 354 305
[6]	Yu Y G, Li H X, Wang S 2009 Chaos Soliton. Fract. 42 1181
[7]	Min F H, Yu Y, Ge C J 2009 Acta Phys. Sin. 58 1456 (in Chinese) [闵富红, 余杨, 葛曹君 2009 物理学报 58 1456]
[8]	Zhou P, Kuang F 2010 Acta Phys. Sin. 59 6851 (in Chinese) [周平, 邝菲 2010 物理学报 59 6851]
[9]	Huang L L, Ma N 2012 Acta Phys. Sin. 61 160510 (in Chinese) [黄丽莲, 马楠 2012 物理学报 61 160510]
[10]	Ma T D, Jiang W B, Fu J, Chai Y, Chen L P, Xue F Z 2012 Acta Phys. Sin. 61 160506 (in Chinese) [马铁东, 江伟波, 浮洁, 柴毅, 陈立平, 薛方正 2012 物理学报 61 160506]
[11]	Min F H, Wang E R 2010 Acta Phys. Sin. 59 7657 (in Chinese) [闵富红, 王恩荣 2010 物理学报 59 7657]
[12]	Wang Z, Huang X, Li N, Song X N 2012 Chin. Phys. B 21 050506
[13]	Chua L O, Komuro M, Matsumoto T 1986 IEEE Trans. Circuits Systems 33 1072
[14]	Li J F, Li N, Cai L, Zhang B 2008 Acta Phys. Sin. 57 7500 (in Chinese) [李建芬, 李农, 蔡理, 张斌 2008 物理学报 57 7500]
[15]	Ji Y, Bi Q S 2010 Chin. Phys. B 19 080510
[16]	Hartley T T, Lorenzo C F, Qammer H K 1995 IEEE Trans. Circuits Systems 42 485
[17]	Charef A, Sun HH, Tsao YY, Onaral B 1992 IEEE Trans. Aut. Contr 37 1465
[18]	Wang F Q, Liu C X 2006 Acta Phys. Sin. 55 5055 (in Chinese) [王发强, 刘崇新 2006 物理学报 55 5055]
[19]	Milanovic V, Zaghloul M E 1996 Electronic Letters 32 11

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板