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Synchronization for Uncertain Chaotic Systems with Channel Noise and Chaos-based Secure Communications

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Unifying Electrical Engineering and Electronics Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 238))

Abstract

In order to deal with the problems of chaotic synchronization and chaos-based secure communication for uncertain chaotic systems with channel noise, a robust sliding mode observer is constructed to synchronize the chaotic system which is regarded as the transmitter. By introducing an augmented vector, an augmented system is formed, and the channel noise of chaotic system is estimated by the robust sliding mode observer. Then, a first-order robust differentiator is considered to exactly estimate the derivative of drive signal. Based on the estimated states and the derivative of drive signal, a recovery method which can recover the information signal is proposed. For illustration, a numerical simulation is given to show the effectiveness of the proposed methods. The simulation results show that the receiver which is the combination of the robust sliding mode observer and the first-order differentiator can not only synchronize the transmitter but also recover the information signal. The proposed method can effectively achieve synchronization and information recovery when the chaotic system with channel noise is used as the transmitter.

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Acknowledgments

This work was supported by the National Nature Science Foundation of China under Grant 61074009. This work is also supported by the Fundamental Research Funds for the Central Universities and supported by Shanghai Leading Academic Discipline Project under Grant B004.

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Authors and Affiliations

  1. College of Electronics and Information Engineering, Tongji University, Shanghai, 201804, China

    Junqi Yang & Fanglai Zhu

  2. College of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, Henan, 454000, China

    Junqi Yang

Authors
  1. Junqi Yang
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  2. Fanglai Zhu
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Corresponding author

Correspondence to Fanglai Zhu .

Editor information

Editors and Affiliations

  1. Dept. Information Systems, California State University, Los Angeles College of Business & Economics, Los Angeles, California, USA

    Song Xing

  2. Electronics and Information Technology S, Nanjing University of Information and Sc, Nanjing, Jiangsu, China, People's Republic

    Suting Chen

  3. Sunnyvale, California, USA

    Zhanming Wei

  4. Electronics and Information Technology S, Nanjing University of Information and Sc, Nanjing, Jiangsu, China, People's Republic

    Jingming Xia

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Yang, J., Zhu, F. (2014). Synchronization for Uncertain Chaotic Systems with Channel Noise and Chaos-based Secure Communications. In: Xing, S., Chen, S., Wei, Z., Xia, J. (eds) Unifying Electrical Engineering and Electronics Engineering. Lecture Notes in Electrical Engineering, vol 238. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-4981-2_162

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  • DOI: https://doi.org/10.1007/978-1-4614-4981-2_162

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-4980-5

  • Online ISBN: 978-1-4614-4981-2

  • eBook Packages: EngineeringEngineering (R0)

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