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Adaptive Neural Networks Backstepping Control of Uncertain Second-Order Systems with Input and State Time Delays

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Proceedings of 2023 Chinese Intelligent Systems Conference (CISC 2023)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1089))

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Abstract

This paper investigates the adaptive neural networks backstepping control for uncertain second-order systems with input and state time delays. A new Lyapunov-Krasovskii function is used to compensate time delay and transform the time-delay system into a delay-free system. The neural network is used to approximate the unknown function and deal with the uncertainty in the system. The stability of the closed-loop system is proved based on Lyapunov theory, and the tracking error can converge to a small neighborhood of zero. In addition, two simulation examples are used to verify the performance of the controller.

This work was supported by the National Natural Science Foundation of China (61903025) and Fundamental Research Funds for the Central Universities (No.FRF-IDRY-GD22-002 ).

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References

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Author information

Authors and Affiliations

  1. School of Intelligence Science and Technology, University of Science and Technology Beijing, Beijing, 100083, China

    Renjian Jiang & Liang Sun

  2. 101 Research Institute, Ministry of Civil Affairs, Beijing, 100070, China

    Renjian Jiang & Lin Tian

  3. Beijing Key Laboratory of Urban Underground Space Engineering, University of Science and Technology Beijing, Beijing, 100083, China

    Peng Li

Authors
  1. Renjian Jiang
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  2. Lin Tian
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  3. Peng Li
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  4. Liang Sun
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Corresponding author

Correspondence to Liang Sun .

Editor information

Editors and Affiliations

  1. School of Automation Science and Electrical Engineering, Beihang University, Beijing, China

    Yingmin Jia

  2. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, China

    Weicun Zhang

  3. School of Mechanical Engineering and Automation, Beihang University, Beijing, China

    Yongling Fu

  4. Ningbo Institute of Materials Technology&Engineering, Chinese Academy of Sciences, Ningbo, Zhejiang, China

    Jiqiang Wang

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Jiang, R., Tian, L., Li, P., Sun, L. (2023). Adaptive Neural Networks Backstepping Control of Uncertain Second-Order Systems with Input and State Time Delays. In: Jia, Y., Zhang, W., Fu, Y., Wang, J. (eds) Proceedings of 2023 Chinese Intelligent Systems Conference. CISC 2023. Lecture Notes in Electrical Engineering, vol 1089. Springer, Singapore. https://doi.org/10.1007/978-981-99-6847-3_10

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