Journal of Shandong University(Engineering Science) ›› 2019, Vol. 49 ›› Issue (3): 1-7.doi: 10.6040/j.issn.1672-3961.0.2017.601

• Machine Learning & Data Mining •     Next Articles

Four-wing hyperchaotic system synchronization and its secure video communication based on FPGA

Wei XUE(),Dongcheng TAN,Mei ZHANG,Shilong LIU   

  1. College of Electronic Information and Automation, Tianjin University of Science and Technology, Tianjin 300222, China
  • Received:2018-12-04 Online:2019-06-20 Published:2019-06-27
  • Supported by:
    国家自然科学基金青年科学基金资助项目(11202148)

RichHTML

213

PDF (PC)

333

Abstract:

A four-wing generalized augmented Lü hyperchaotic system was analyzed, and the self-synchronization of the hyperchaotic system was realized by the method of nonlinear synchronous control. The correctness and validity of the nonlinear synchronous controller were theoretically analyzed. The design and implementation of FPGA hardware circuit for the nonlinear synchronous control hyperchaotic system were carried out. The results of hardware test were consistent with those of numerical simulation and theoretical analysis. A chaotic masking secure video communication scheme of the hyperchaotic system based on nonlinear synchronization was proposed, and the FPGA hardware experiment of the secure communication scheme was carried out. The FPGA hardware test results showed that the secure communication scheme was effective and feasible, and had a good security.

Key words: hyper-chaos, secure communication, synchronization, FPGA, implementation

CLC Number: 

  • TP29

Fig.1

Phase diagrams of system (1)"

Fig.2

Lyapunov exponent spectrum of system (1) versus b"

Fig.3

Synchronous curves when yi=xi(i=1, 2, 3, 4)"

Fig.4

RTL schematic diagram of FPGA implementation of the synchronization system"

Fig.5

Resource consumption of FPGA implementation of the synchronization system"

Fig.6

FPGA implementation results of chaotic attractor in generalized augmented Lü hyperchaotic system circuit"

Fig.7

Synchronous curves of FPGA implementation synchronization system"

Fig.8

Chaotic concealment video communication schematic of nonlinear control synchronization based on system (1)"

Fig.9

System principle block diagram"

Fig.10

FPGA circuit experiment results of chaotic concealment video communication"

1 陈关荣, 吕金虎. Lorenz系统族的动力学分析、控制与同步[M]. 北京: 科学出版社, 2003.
2 HEMATI N . Strange attractors in brushless DC motors[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1994, 41 (1): 40- 45.
doi: 10.1109/81.260218
3 PASINI A , PELINO V . A unified view of Kolmogorov and Lorenz systems[J]. Physics Letters A, 2000, 275 (5): 435- 446.
4 KNOBLOCH E . Chaos in the segmented disc dynamo[J]. Physics Letters A, 1981, 82 (9): 439- 440.
doi: 10.1016/0375-9601(81)90274-7
5 PECORA L M , CARROLL T L . Synchronization in chaotic systems[J]. Physical Review Letters, 1990, 64 (8): 821- 824.
doi: 10.1103/PhysRevLett.64.821
6 LAKSHMANAN M, MURALI K. Chaos in nonlinear oscillators: controlling and synchronization[M].[S.l.]: World Scientific, 1996.
7 CELKA P . Chaotic synchronization and modulation of nonlinear time-delayed feedback optical systems[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1995, 42 (8): 455- 463.
doi: 10.1109/81.404049
8 AGIZA H N , YASSEN M T . Synchronization of Rossler and Chen chaotic dynamical systems using active control[J]. Physics Letters A, 2001, 278 (4): 191- 197.
doi: 10.1016/S0375-9601(00)00777-5
9 LI D , LU J , WU X . Linearly coupled synchronization of the unified chaotic systems and the Lorenz systems[J]. Chaos Solitons & Fractals, 2005, 23 (1): 79- 85.
10 LYU J , ZHOU T , ZHANG S . Chaos synchronization between linearly coupled chaotic systems[J]. Chaos Solitons & Fractals, 2002, 14 (4): 529- 541.
11 PARK J H . Stability criterion for synchronization of linearly coupled unified chaotic systems[J]. Chaos Solitons & Fractals, 2005, 23 (4): 1319- 1325.
12 CHEN H K . Global chaos synchronization of new chaotic systems via nonlinear control[J]. Chaos Solitons & Fractals, 2005, 23 (4): 1245- 1251.
13 CHEN M , HAN Z . Controlling and synchronizing chaotic Genesio system via nonlinear feedback control[J]. Chaos Solitons & Fractals, 2003, 17 (4): 709- 716.
14 孙美美, 胡云安, 韦建明. 多涡卷超混沌系统自适应滑模同步控制[J]. 山东大学学报(工学版), 2015, 45 (6): 45- 51.
SUN Meimei , HU Yun'an , WEI Jianmin . Synchronization of multi-wing hyperchaotic systems via adaptive sliding mode control[J]. Journal of Shandong University (Engineering Science), 2015, 45 (6): 45- 51.
15 孟晓玲, 王建军. 一类分数阶冠状动脉系统的混沌同步控制[J]. 山东大学学报(工学版), 2017, 47 (6): 1- 6.
MENG Xiaoling , WANG Jianjun . Chaos synchronization of a class of fractional order coronary artery systems[J]. Journal of Shandong University (Engineering Science), 2017, 47 (6): 1- 6.
16 毛北行, 王东晓. 分数阶多涡卷系统滑模控制混沌同步[J]. 山东大学学报(工学版), 2017, 47 (3): 79- 83.
MAO Beixing , WANG Dongxiao . Sliding model chaos synchronization control of a class of fractional-order multi-scroll systems[J]. Journal of Shandong University (Engineering Science), 2017, 47 (3): 79- 83.
17 CUOMO K M , OPPENHEIM A V , STROGATZ S H . Synchronization of Lorenz-based chaotic circuits with applications to communications[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1993, 40 (10): 626- 633.
doi: 10.1109/82.246163
18 朱艳平, 张小红. CNN超混沌同步保密通信系统的研究[J]. 计算机应用与软件, 2009, 26 (2): 83- 84.
doi: 10.3969/j.issn.1000-386X.2009.02.027
ZHU Yanping , ZHANG Xiaohong . On secure communication system of CNN hyperchaotic synchronization[J]. Computer Applications and Software, 2009, 26 (2): 83- 84.
doi: 10.3969/j.issn.1000-386X.2009.02.027
19 PRASAD M , SUDHA K L . Chaos image encryption using pixel shuffling[J]. Dimension, 2011, 1 (2): 169- 179.
20 ZHANG D , ZHANG F . Chaotic encryption and decryption of JPEG image[J]. Optik-International Journal for Light and Electron Optics, 2014, 125 (2): 717- 720.
doi: 10.1016/j.ijleo.2013.07.069
21 薛薇, 徐进康, 贾红艳. 一个分数阶超混沌系统同步及其保密通信研究[J]. 系统仿真学报, 2016, 28 (8): 1915- 1921.
XUE Wei , XU Jinkang , JIA Hongyan . Study of synchronization for fractional-order hyperchaotic system and its application in secure communication[J]. Journal of System Simulation, 2016, 28 (8): 1915- 1921.
22 PARK J H . Chaos synchronization of a chaotic system via nonlinear control[J]. Chaos Solitons & Fractals, 2005, 25 (1): 175- 179.
23 XUE W , FANG Y , LI Q . A novel four-wing hyper-chaotic system and its circuit implementation[J]. Procedia Engineering, 2012, 29 (4): 1264- 1269.
[1] Chunyan WANG,Jinhong DI. Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method [J]. Journal of Shandong University(Engineering Science), 2018, 48(5): 91-94, 123.
[2] Dongxiao WANG. Two methods for sliding mode synchronization of five-dimensional fractional-order chaotic systems with entanglement iterms [J]. Journal of Shandong University(Engineering Science), 2018, 48(5): 85-90.
[3] MAO Beixing. Ratio integral sliding mode synchronization control of entanglement chaotic systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(4): 50-54.
[4] MENG Xiaoling, WANG Jianjun. Chaos synchronization of a class of fractional-order coronary artery systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(4): 55-60.
[5] MAO Beixing, CHENG Chunrui. Self-adaptive sliding mode control of fractional-order Victor-Carmen chaotic systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(4): 31-36.
[6] ZHANG Yuting, LI Wang, WANG Chenguang, LIU Youquan, SHI Hongjun. Synchronization of time-delayed complex dynamical networks with discontinuous coupling [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(4): 43-49.
[7] LI Wang, MA Zhicai, SHI Hongjun. Finite-time stochastic generalized outer synchronization of time-delayed complex dynamical networks [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 1-8.
[8] LI Qingbin, WANG Xiaodong. Terminal sliding model control chaos synchronization of fractional-order emotion mode systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 84-88.
[9] MAO Beixing, WANG Dongxiao. Sliding model chaos synchronization control of a class of fractional-order multi-scroll systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 79-83.
[10] JI Shuai, ZHANG Chengrui, SUN Shuren, HU Tianliang. Motion control system based on real-time ethernet [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2014, 44(5): 7-13.
[11] LI Wang1,2, SHI Yong2, MA Ji-wei2. Finite-time outer synchronization of complex dynamical networks [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2013, 43(2): 48-53.
[12] ZHAO Yong-qing, JIANG Ming-hui. Adaptive synchronous feedback control of mixed time-varying delayed and double-linked complex networks [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 61-68.
[13] TIAN Lan, HOU Zheng-Shen, LIU Qiang-Min. A sound-image synchronization sign controller based on a CF card [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 139-143.
[14] ZHONG Qing-Chang. Recent results on H∞ control of time-delay systems using  frequency-domain approaches [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(3): 22-30.
[15] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 96-101.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] CHEN Rui, LI Hongwei, TIAN Jing. The relationship between the number of magnetic poles and the bearing capacity of radial magnetic bearing[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(2): 81 -85 .
[2] LI Ke,LIU Chang-chun,LI Tong-lei . Medical registration approach using improved maximization of mutual information[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(2): 107 -110 .
[3] . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 27 -32 .
[4] QIN Tong, SUN Fengrong*, WANG Limei, WANG Qinghao, LI Xincai. 3D surface reconstruction using the shape based interpolation guided by maximal discs[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 1 -5 .
[5] LIU Wen-liang, ZHU Wei-hong, CHEN Di, ZHANG Hong-quan. Detection and tracking of moving targets using the morphology match in radar images[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 31 -36 .
[6] WANG Li-ju,HUANG Qi-cheng,WANG Zhao-xu . [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2006, 36(6): 51 -56 .
[7] SUN Dianzhu, ZHU Changzhi, LI Yanrui. [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(1): 84 -86 .
[8] YUE Yuan-Zheng. Relaxation in glasses far from equilibrium[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(5): 1 -20 .
[9] CHENG Daizhan, LI Zhiqiang. A survey on linearization of nonlinear systems[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2009, 39(2): 26 -36 .
[10] LI Hui-ping, ZHAO Guo-qun, ZHANG Lei, HE Lian-fang. The development status of hot stamping and quenching of ultra high-strength steel[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2010, 40(3): 69 -74 .
Copyright 2018 © Editorial office of Journal of Shandong University (Engineering Science)
Supported by Beijing Magtech Co.Ltd