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Fast Finite-Time Consensus for Multi-agent Systems with Diverse Topologies

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Abstract

Fast finite-time consensus problem of multi-agent systems under diverse topologies is investigated by a hybrid linear and fractional power protocol, where the linear item improves convergence performance when the state is far away from the equilibrium, and the fractional power one accelerates convergence process when the state is close to the equilibrium. Then a faster convergent rate is achieved in comparison with the individual asymptotic or finite-time consensus protocol. The leaderless multi-agent systems are firstly studied under undirected topology, and then it is extended to the leader-following case under the directed networks. Based on finite-time stability theory, the state consensus tracking errors are guaranteed to be zero within an upper bound of settling time. Finally, numerical simulations are presented to demonstrate the effectiveness and performance of the protocols.

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Data Availability

The data sets generated during and analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Y. Cao, W. Ren, Finite-time consensus for multi-agent networks with unknown inherent nonlinear dynamics. Automatica 50(10), 2648–2656 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Cardinot, C. O’Riordan, J. Griffith, M. Perc, Evoplex: A platform for agent-based modeling on networks. SoftwareX 9, 199–204 (2019)

    Article  Google Scholar 

  3. M. Franceschelli, A. Pisano, A. Giua, Finite-time consensus with disturbance rejection by discontinuous local interactions in directed graphs. IEEE Trans. Autom. Control 60(4), 1133–1138 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  4. Q. Fu, Q. Shen, Z. Jia, Cooperative adaptive tracking control for unknown nonlinear multi-agent systems with signal transmission faults. Circuits Syst. Signal Process. 39(3), 1335–1352 (2020)

    Article  Google Scholar 

  5. J. Huang, C. Wen, W. Wang et al., Adaptive finite-time consensus control of a group of uncertain nonlinear mechanical systems. Automatica 51, 292–301 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  6. S. Li, Y. Pan, H. Liang, Output-constrained control of non-affine multi-agent systems with actuator faults and unknown dead zones. Circuits Syst. Signal Process. 40(1), 114–135 (2021)

    Article  Google Scholar 

  7. Z. Li, H. Ji, Finite-time consensus and tracking control of a class of nonlinear multiagent systems. IEEE Trans. Autom. Control 63(12), 4413–4420 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  8. H. Liu, L. Cheng, M. Tan, Z. Hou, Exponential finite-time consensus of fractional-order multiagent systems. IEEE Trans. Syst. Man Cybern. Syst. 50(4), 1549–1558 (2019)

    Article  Google Scholar 

  9. B. Ning, J. Jin, J. Zheng, Finite-time and fixed-time leader-following consensus for multi-agent systems with discontinuous inherent dynamics. Int. J. Control 91(6), 1259–1270 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  10. J. Qin, Q. Ma, Y. Shi, L. Wang, Recent advances in consensus of multi-agent systems: A brief survey. IEEE Trans. Ind. Informat. 64(6), 4972–4983 (2016)

    Google Scholar 

  11. X. Shi, J. Cao, G. Wen et al., Finite-time consensus of opinion dynamics and its applications to distributed optimization over digraph. IEEE Trans. Cybern. 49(10), 3767–3779 (2018)

    Article  Google Scholar 

  12. X. Shi, J. Cao, X. Yu, G. Wen, Finite-time stability of network systems with discontinuous dynamics over signed digraphs. IEEE Trans. Autom. Control. 65(11), 4874–4881 (2019)

    Article  MathSciNet  MATH  Google Scholar 

  13. H.J. Sun, R. Xia, A. Yu, Fully distributed event-triggered consensus for a class of second-order nonlinear multi-agent systems. Circuits Syst. Signal Process. 41(2), 725–742 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  14. F. Sun, M. Tuo, J. Kurths et al., Finite-time consensus of leader-following multi-agent systems with multiple time delays over time-varying topology. Int. J. Control Autom. Syst. 18(8), 1985–1992 (2020)

    Article  Google Scholar 

  15. Z. Tu, H. Yu, X. Xia, Decentralized finite-time adaptive consensus of multiagent systems with fixed and switching network topologies. Neurocomputing 219, 59–67 (2017)

    Article  Google Scholar 

  16. X. Wang, J. Li, J. Xing et al., A novel finite-time average consensus protocol for multi-agent systems with switching topology. Trans. Inst. Measure. Control 40(2), 606–614 (2018)

    Article  Google Scholar 

  17. L. Wang, F. Xiao, Finite-time consensus problems for networks of dynamic agents. IEEE Trans. Autom. Control 55(4), 950–955 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  18. G. Wen, Z. Duan, G. Chen, W. Yu, Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies. IEEE Trans. Circuits Syst. 61(2), 499–511 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  19. S. Yu, X. Long, Finite-time consensus for second-order multi-agent systems with disturbances by integral sliding mode. Automatica 54, 158–165 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  20. A. Zhang, D. Zhou, P. Yang, Event-triggered finite-time consensus with fully continuous communication free for second-order multi-agent systems. Int. J. Control Autom. 17(4), 836–846 (2019)

    Article  Google Scholar 

  21. H. Zhao, D. Chen, J. Hu, Finite-time stabilization of multi-rate networked control system based on predictive control. Circuits Syst. Signal Process. 41(2), 661–683 (2022)

    Article  MATH  Google Scholar 

  22. Z. Zuo, L. Tie, Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. Int. J. Sys. Sci. 47(6), 1366–1375 (2016)

    Article  MathSciNet  MATH  Google Scholar 

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Funding

This work was supported by the Scientific Research Fund of Liaoning Provincial Education Department (L2019048) and National Natural Science Foundation of China (62073054).

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Authors and Affiliations

  1. College of Navigation, Dalian Maritime University, Dalian, 116026, China

    Lina Jin & Guoyou Shi

  2. College of Marine Electrical Engineering, Dalian Maritime University, Dalian, 116026, China

    Shuanghe Yu

  3. School of Artificial Intelligence and Software, Liaoning Petrochemical University, Fushun, 113001, China

    Lina Jin & Xiaohong Wang

Authors
  1. Lina Jin
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  2. Guoyou Shi
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  3. Shuanghe Yu
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  4. Xiaohong Wang
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Correspondence to Shuanghe Yu.

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Jin, L., Shi, G., Yu, S. et al. Fast Finite-Time Consensus for Multi-agent Systems with Diverse Topologies. Circuits Syst Signal Process 42, 5252–5266 (2023). https://doi.org/10.1007/s00034-023-02372-9

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  • DOI: https://doi.org/10.1007/s00034-023-02372-9

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