Skip to main content
Log in

Chaotic synchronization and secure communication based on descriptor observer

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

This paper presents an effective technique for both synchronization and secure communication of chaotic systems. A class of nonlinear chaotic systems is discussed, whose transmitted signal can be of multiple dimensions. Based on the descriptor observer design, we can obtain the accurate estimations of both the system states and the transmitted signals. Because the descriptor observer approach avoids using the derivation of the transmitted signal, the approach proposed does not need the assumption that the information signal is slowly varying. Numerical examples are given to illustrate the effectiveness of the proposed scheme.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Colet, P., Roy, R.: Digital communication with synchronization chaotic laser. Opt. Lett. 19(24), 2056–2058 (1994)

    Article  Google Scholar 

  2. Sugawara, T., Tachikawa, M., Tsukamoto, T., Shimizu, T.: Observation of synchronization in laser chaos. Phys. Rev. Lett. 72(22), 3502–3505 (1994)

    Article  Google Scholar 

  3. Lu, J., Wu, X., Lü, J.: Synchronization of a unified system and the application in secure communication. Phys. Lett. A 305, 365–370 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  4. Huang, C., Tsay, S., Wu, Y.: Implementation of chaotic secure communication systems based on OPA circuits. Chaos Solitons Fractals 23, 589–600 (2005)

    Article  MATH  Google Scholar 

  5. Wang, H., Han, Z., Zhang, W., Xie, Q.: Synchronization of unified chaotic systems with uncertain parameters based on the CLF. Nonlinear Anal. Real World Appl. (2007). doi:10.1016/j.nonrwa.2007.10.025

    Google Scholar 

  6. Chen, M., Zhou, D., Shang, Y.: Identical synchronization of chaotic systems. Int. J. Bifurc. Chaos 16, 721–729 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  7. Li, Z., Xu, D.: A secure communication scheme using projective chaos synchronization. Chaos Solitons Fractals 22, 477–481 (2004)

    Article  MATH  Google Scholar 

  8. Wang, X., Wang, M.: A chaotic secure communication scheme based on observer. Commun. Nonlinear Sci. Numer. Simul. (2008). doi:10.1016/j.cnsns.2008.01.012

    Google Scholar 

  9. Boutayeb, M., Darouach, M., Rafaralahy, H.: Generalized state–space observers for chaotic synchronization and secure communication. IEEE Trans. Circuits Syst. I 49(3), 345–349 (2002)

    Article  MathSciNet  Google Scholar 

  10. Li, D., Wang, Z., Zhou, J., Fang, J., Ni, J.: A note on chaotic synchronization of time-delay secure communication systems. Chaos Solitons Fractals (2007). doi:10.1016/j.chaos.2007.01.057

    Google Scholar 

  11. Chen, M., Zhou, D., Shang, Y.: A sliding mode observer based secure communication scheme. Chaos Solitons Fractals 25, 573–578 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  12. Chen, M., Wang, M.: Unknown input observer based chaotic secure communication. Phys. Lett. A 372, 1595–1600 (2008)

    Article  MathSciNet  Google Scholar 

  13. Vegas, J.: Reduced stability of parameter-dependent matrices. Linear Algebra Appl. 268, 289–321 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  14. Cao, Y., Sun, Y., Cheng, C.: Delay-dependent robust stabilization of uncertain systems with multiple state delays. IEEE Trans. Autom. Control 43, 1608–1612 (1998)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hua Wang.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 60674024).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, H., Han, Z., Zhang, W. et al. Chaotic synchronization and secure communication based on descriptor observer. Nonlinear Dyn 57, 69–73 (2009). https://doi.org/10.1007/s11071-008-9420-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-008-9420-9

Keywords

Navigation