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Synchronization of Chaos with a Single Driving Variable Feedback Control Based on DNA Strand Displacement

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Bio-Inspired Computing: Theories and Applications (BIC-TA 2021)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1565))

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Abstract

DNA molecular reaction is one of methods to build next generation operational circuit. It has demonstrated the capacity to design control systems. In this paper, a PID controll based on DNA strand displacement (DSD) is presented to realize synchronization of chaotic system. Based on the theory of synchronization and design principle of control, the proportion terms, integration terms, and differentiation terms are added to chaotic oscillatory systems for implementing synchronization by DSD. The two four-variable chaotic oscillatory systems are tended to be synchronization by PID control. There are four chemical reaction modules which are proposed to realize the systems. The modeling and simulation results demonstrate the validity of chemical reaction terms and control systems by visual DSD and matelab. Achieved the ideal results when it is applied to the chaotic system synchronization.

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Authors and Affiliations

  1. Zhengzhou University of Light Industry, Zhengzhou, 450002, China

    Zijie Meng, Xiaoyu An & Junwei Sun

Authors
  1. Zijie Meng
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  2. Xiaoyu An
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  3. Junwei Sun
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Corresponding author

Correspondence to Junwei Sun .

Editor information

Editors and Affiliations

  1. Huazhong University of Science and Technology, Wuhan, China

    Linqiang Pan

  2. Taiyuan University of Science and Technology, Taiyuan, China

    Zhihua Cui

  3. Taiyuan University of Science and Technology, Taiyuan, China

    Jianghui Cai

  4. Huazhong University of Science and Technology, Wuhan, China

    Lianghao Li

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Meng, Z., An, X., Sun, J. (2022). Synchronization of Chaos with a Single Driving Variable Feedback Control Based on DNA Strand Displacement. In: Pan, L., Cui, Z., Cai, J., Li, L. (eds) Bio-Inspired Computing: Theories and Applications. BIC-TA 2021. Communications in Computer and Information Science, vol 1565. Springer, Singapore. https://doi.org/10.1007/978-981-19-1256-6_34

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  • DOI: https://doi.org/10.1007/978-981-19-1256-6_34

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-1255-9

  • Online ISBN: 978-981-19-1256-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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