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Finite-Time Consensus of Second-Order Multi-agent Systems with External Disturbances and Without Velocity Measurements

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Machine Learning for Cyber Security (ML4CS 2020)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 12487))

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Abstract

In order to solve the problem of flocking for multi-agent systems with external disturbances, this paper studies the finite-time consensus of second-order multi-agent systems with external disturbances. Based on the disturbance estimations of external disturbances, a control protocol is proposed without velocity information, to deal with the leader-following consensus tracking problem of multi-agent systems. With the aid of algebraic graph theory and modern control theory, the finite-time consensus of second-order multi-agent systems with external disturbances is studied. The simulation results are provided to verify that the finite-time consensus algorithm of systems can make the states of followers converge to the states of one leader, and the state consistency of the second-order multi-agent systems with external disturbances is achieved.

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Acknowledgements

The research is supported by the National Natural Science Foundation of China (61673200, 61771231), the Major Basic Research Project of Natural Science Foundation of Shandong Province of China (ZR2018ZC0438) and the Key Research and Development Program of Yantai City of China (2019XDHZ085).

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Authors and Affiliations

  1. School of Information and Electrical Engineering, Ludong University, Yantai, 264025, China

    Yuling Li, Hongyong Yang & Yuanshan Liu

  2. School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia

    Yuling Li, Hongyong Yang, Yize Yang & Yuanshan Liu

  3. Key Laboratory of Cyber-Physical System and Intelligent Control in Universities of Shandong, Ludong University, Yantai, 264025, China

    Yize Yang

Authors
  1. Yuling Li
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  2. Hongyong Yang
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  3. Yize Yang
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  4. Yuanshan Liu
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Corresponding author

Correspondence to Hongyong Yang .

Editor information

Editors and Affiliations

  1. Xidian University, Xi'an, China

    Xiaofeng Chen

  2. Guangzhou University, Guangzhou, China

    Hongyang Yan

  3. Michigan State University, East Lansing, MI, USA

    Qiben Yan

  4. Division of Computer, Electrical and Mathematical Sciences and Engineering, King Abdullah University of Science, Thuwal, Saudi Arabia

    Xiangliang Zhang

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Li, Y., Yang, H., Yang, Y., Liu, Y. (2020). Finite-Time Consensus of Second-Order Multi-agent Systems with External Disturbances and Without Velocity Measurements. In: Chen, X., Yan, H., Yan, Q., Zhang, X. (eds) Machine Learning for Cyber Security. ML4CS 2020. Lecture Notes in Computer Science(), vol 12487. Springer, Cham. https://doi.org/10.1007/978-3-030-62460-6_10

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  • DOI: https://doi.org/10.1007/978-3-030-62460-6_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-62459-0

  • Online ISBN: 978-3-030-62460-6

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