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Finite-Time Consensus Control for the Second-Order Multi-agent Systems with Communication Delays

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Proceedings of 2019 Chinese Intelligent Systems Conference (CISC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 593))

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Abstract

This paper is discussed the finite-time consensus control problem with communication delays for the second-order multi-agent systems. In order to achieve the consensus of systems with communication delays in finite time, a novel control algorithm with consensus control gain matrix is designed, which is based on the relative position and velocity error sates. By utilizing the stability theory of functional differential equations and the finite-time Lyapunov stability theorem, finite-time consensus of the second-order systems is realized. Furthermore, the allowable upper bound of the communication delays for the multi-agent systems is obtained. Finally, simulation examples verify the correctness and validity of the theoretical results.

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References

  1. Li Z, Ren W, Liu X (2013) Distributed consensus of linear multi-agent systems with adaptive dynamic protocols. Automatica 49(7):1986–1995

    Article  MathSciNet  Google Scholar 

  2. Li H, Liao X, Chen G (2013) Leader-following finite-time consensus in second-order multi-agent networks with nonlinear dynamics. Int J Control Autom Syst 11(2):422–426

    Article  Google Scholar 

  3. Sun F, Guan ZH (2013) Finite-time consensus for leader-following second-order multi-agent system. Int J Syst Sci 44(4):727–738

    Article  MathSciNet  Google Scholar 

  4. Ghapani S, Mei J, Ren W (2016) Fully distributed flocking with a moving leader for Lagrange networks with parametric uncertainties. Automatica 67(5):67–76

    Article  MathSciNet  Google Scholar 

  5. Hui L, Li J (2009) Terminal sliding mode control for spacecraft formation flying. IEEE Trans Aerosp Electron Syst 45(3):835–846

    Article  Google Scholar 

  6. Haghighi R, Pang CK (2017) Robust concurrent attitude-position control of a swarm of underactuated nanosatellites. IEEE Trans Control Syst Technol 8:1–12

    Google Scholar 

  7. Varma S, Kumar KD (2012) Multiple satellite formation flying using differential aerodynamic drag. J. Spacecraft Rockets 49(2):325–336

    Article  Google Scholar 

  8. Bazerque JA, Giannakis GB (2010) Distributed spectrum sensing for cognitive radio networks by exploiting sparsity. IEEE Trans Sig Process 58(3):1847–1862

    Article  MathSciNet  Google Scholar 

  9. Mohammadi A, Asif A (2015) Consensus-based distributed dynamic sensor selection in decentralised sensor networks using the posterior Cramér-Rao lower bound. Sig Process 108(108):558–575

    Article  Google Scholar 

  10. Khan UA, Kar S, Moura JMF (2010) DILAND: an algorithm for distributed sensor localization with noisy distance measurements. IEEE Trans Sig Process 58(3):1940–1947

    Article  MathSciNet  Google Scholar 

  11. Li S, Du H, Lin X (2011) Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. J Tianjin Univ Technol 47(8):1706–1712

    MathSciNet  MATH  Google Scholar 

  12. Tong P, Chen S, Wang L (2018) Finite-time consensus of multi-agent systems with continuous time-varying interaction topology. Neurocomputing 284(6):187–193

    Article  Google Scholar 

  13. Li W, Chen Z, Liu Z (2013) Leader-following formation control for second-order multiagent systems with time-varying delay and nonlinear dynamics. Nonlinear Dyn 72(4):803–812

    Article  MathSciNet  Google Scholar 

  14. Li H, Zhu Y, Wang J (2017) Consensus of nonlinear second-order multi-agent systems with mixed time-delays and intermittent communications. Neurocomputing 251(3):115–126

    Article  Google Scholar 

  15. Tang ZJ, Huang TZ, Shao JL (2012) Consensus of second-order multi-agent systems with nonuniform time-varying delays. Neurocomputing 97(1):410–414

    Article  Google Scholar 

  16. Hou W, Fu M, Zhang H (2017) Consensus conditions for general second-order multi-agent systems with communication delay. Automatica 75(6):293–298

    Article  MathSciNet  Google Scholar 

  17. Yu W, Chen G, Cao M (2010) Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems. Automatica 46(6):1089–1095

    Article  MathSciNet  Google Scholar 

  18. Huang Y, Li Y (2019) Distributed rotating formation control of second-order leader-following multi-agent systems with nonuniform delays. J Franklin Inst 356(5):3090–3101

    Article  MathSciNet  Google Scholar 

  19. Li S, Peng X, Tang Y (2018) Finite-time synchronization of time-delayed neural networks with unknown parameters via adaptive control. Neurocomputing 45(8):65–74

    Google Scholar 

  20. Liu X, Xu B (2012) Distributed finite-time tracking control for multi-agent systems with communication delays. Commun Theor Phys 48(6):155–161

    Google Scholar 

  21. Halanay A (1996) Diferential equations: stability oscillations time lags. Academic Press, New York

    Google Scholar 

Download references

Acknowledgments

This work was supported by the NSFC (61503231, 61473015).

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Authors and Affiliations

  1. College of Physics and Information Engineering, Shanxi Normal University, Linfen, 041000, Shanxi, China

    Yan Cui & Qinghua Li

Authors
  1. Yan Cui
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  2. Qinghua Li
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Corresponding author

Correspondence to Qinghua Li .

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Editors and Affiliations

  1. Beihang University, Beijing, China

    Yingmin Jia

  2. Beijing University of Posts and Telecommunications, Beijing, China

    Junping Du

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

    Weicun Zhang

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Cui, Y., Li, Q. (2020). Finite-Time Consensus Control for the Second-Order Multi-agent Systems with Communication Delays. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 593. Springer, Singapore. https://doi.org/10.1007/978-981-32-9686-2_66

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