Skip to main content
Log in

Distributed Leaderless Consensus Control for Uncertain Multiagent Systems with Event-triggered Communication and Disturbances

  • Regular paper
  • Published:
Journal of Intelligent & Robotic Systems Aims and scope Submit manuscript

Abstract

In this paper, a distributed leaderless consensus control problem is investigated for uncertain multiagent systems (MASs) with event-triggered (ET) communication and disturbances. To economize the limited communication resources, two ET mechanisms are employed in the controller-to-actuator channel and communication channel respectively. In the controller-to-actuator channel, a novel switching ET mechanism is developed, where the agents can choose the ET strategies arbitrarily in a unified control framework by adjusting a switching parameter. In the communication channel, an improved filter composed of only triggered output signals is presented, which can avoid the transmission of multiple signals between agents and reduce the dispensable data transmission effectively. In the designed filter-based backstepping control framework, the parameter estimation technique is employed to deal with unmatched uncertainties and disturbances problems for high-order nonlinear MASs. By applying the Lyapunov stability method, it is proved that the outputs of agents can reach a leaderless consensus, and the stability of the closed-loop system can be guaranteed. Finally, two simulation examples demonstrate that the proposed control strategy is effective.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Maity, D., Tsiotras, P.: Multiagent consensus subject to communication and privacy constraints. IEEE Transactions on Control of Network Systems. 9(2), 943–955 (2022). https://doi.org/10.1109/TCNS.2021.3124926

    Article  MathSciNet  Google Scholar 

  2. Liang, H., Chen, L., Pan, Y., Lam, H.K.: Fuzzy-based robust precision consensus tracking for uncertain networked systems with cooperative-antagonistic interactions. IEEE Transactions on Fuzzy Systems. (2022). https://doi.org/10.1109/TFUZZ.2022.3200730

    Article  Google Scholar 

  3. Rosaldo-Serrano, M.-A., Santiaguillo-Salinas, J., Aranda-Bricaire, E.: Observer-based time-varying backstepping control for a quadrotor multi-agent system. Journal of Intelligent & Robotic Systems. 93, 135–150 (2019). https://doi.org/10.1007/s10846-018-0867-8

    Article  Google Scholar 

  4. Liang, H., Du, Z., Huang, T., Pan, Y.: Neuroadaptive performance guaranteed control for multiagent systems with power integrators and unknown measurement sensitivity. IEEE Transactions on Neural Networks and Learning Systems. (2019). https://doi.org/10.1109/TNNLS.2022.3160532

    Article  Google Scholar 

  5. Rezaee, H., Abdollahi, F.: Adaptive leaderless consensus control of strict-feedback nonlinear multiagent systems with unknown control directions. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 51(10), 6435–6444 (2020). https://doi.org/10.1109/TSMC.2019.2962973

    Article  Google Scholar 

  6. Huang, J., Wang, W., Wen, C., Zhou, J., Li, G.: Distributed adaptive leader-follower and leaderless consensus control of a class of strict-feedback nonlinear systems: a unified approach. Automatica. 118, 109021 (2020). https://doi.org/10.1016/j.automatica.2020.109021

    Article  MathSciNet  MATH  Google Scholar 

  7. Sun, J., Zhang, H., Wang, Y., Sun, S.: Fault-tolerant control for stochastic switched IT2 fuzzy uncertain time-delayed nonlinear systems. IEEE Transactions on Cybernetics. 52(2), 1335–1346 (2022). https://doi.org/10.1109/TCYB.2020.2997348

    Article  Google Scholar 

  8. He, Y., Zhang, C., Zeng, H., Wu, M.: Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay. International Journal of Systems Science. 54(5), 991–1003 (2023). https://doi.org/10.1080/00207721.2022.2157198

    Article  MathSciNet  MATH  Google Scholar 

  9. Shangguan, X., He, Y., Zhang, C., Yao, W., Zhao, Y., Jiang, L., Wu, M.: Resilient load frequency control of power systems to compensate random time delays and time-delay attacks. IEEE Trans. Indus. Electron. 70(5), 5115–5128 (2023). https://doi.org/10.1109/TIE.2022.3186335

    Article  Google Scholar 

  10. Hu, Z., Mu, X.: Mean square stabilization for sampled-data T-S fuzzy systems with random packet dropout. IEEE Transactions on Fuzzy Systems. 28(8), 1815–1824 (2019). https://doi.org/10.1109/TFUZZ.2019.2923377

    Article  Google Scholar 

  11. Zhang, S., Che, W., Deng, C.: Observer-based event-triggered control for linear MASs under a directed graph and DoS attacks. Journal of Control and Decision. 9(3), 384–396 (2022). https://doi.org/10.1080/23307706.2021.2001385

    Article  MathSciNet  Google Scholar 

  12. Pan, Y., Wu, Y., Lam, H.K.: Security-based fuzzy control for nonlinear networked control systems with DoS attacks via a resilient event-triggered scheme. IEEE Transactions on Fuzzy Systems. (2022). https://doi.org/10.1109/TFUZZ.2022.3148875

    Article  Google Scholar 

  13. Cao, L., Cheng, Z., Liu, Y., Li, H.: Event-based adaptive NN fixed-time cooperative formation for multiagent systems. IEEE Transactions on Neural Networks and Learning Systems. (2022). https://doi.org/10.1109/TNNLS.2022.3210269

    Article  Google Scholar 

  14. Cao, L., Pan, Y., Liang, H., Huang, T.: Observer-Based dynamic event-triggered control for multiagent systems with time-varying delay. IEEE Transactions on Cybernetics. (2022). https://doi.org/10.1109/TCYB.2022.3226873

    Article  Google Scholar 

  15. Lin, G., Li, H., Ahn, C.K., Yao, D.: Event-based finite-time neural control for human-in-the-loop UAV attitude systems. IEEE Transactions on Neural Networks and Learning Systems. (2022). https://doi.org/10.1109/TNNLS.2022.3166531

    Article  Google Scholar 

  16. Ren, H., Cheng, Z., Qin, J., Lu, R.: Deception attacks on event-triggered distributed consensus estimation for nonlinear systems. Automatica. 154, 111100 (2023). https://doi.org/10.1016/j.automatica.2023.111100

    Article  MathSciNet  MATH  Google Scholar 

  17. Abbas, M., Issa, S.A., Dwivedy, S.K.: Event-triggered adaptive hybrid position-force control for robot-assisted ultrasonic examination system. Journal of Intelligent & Robotic Systems. 102, 84 (2021). https://doi.org/10.1007/s10846-021-01428-9

    Article  Google Scholar 

  18. Jia, T., Pan, Y., Liang, H., Lam, H.K.: Event-based adaptive fixed-time fuzzy control for active vehicle suspension systems with time-varying displacement constraint. IEEE Transactions on Fuzzy Systems. (2021). https://doi.org/10.1109/TFUZZ.2021.3075490

    Article  Google Scholar 

  19. Pan, H., Chang, X., Zhang, D.: Event-triggered adaptive control for uncertain constrained nonlinear systems with its application. IEEE Transactions on Industrial Informatics. 16(6), 3818–3827 (2019). https://doi.org/10.1109/TII.2019.2929748

    Article  Google Scholar 

  20. Li, H., Wu, Y., Chen, M., Lu, R.: Adaptive multigradient recursive reinforcement learning event-triggered tracking control for multiagent systems. IEEE Transactions on Neural Networks and Learning Systems. (2021). https://doi.org/10.1109/TNNLS.2021.3090570

    Article  Google Scholar 

  21. Wang, C., Wen, C., Hu, Q.: Event-triggered adaptive control for a class of nonlinear systems with unknown control direction and sensor faults. IEEE Transactions on Automatic Control. 65(2), 763–770 (2019). https://doi.org/10.1109/TAC.2019.2916999

    Article  MathSciNet  MATH  Google Scholar 

  22. Ma, H., Zhou, Q., Li, H., Lu, R.: Adaptive prescribed performance control of a flexible-joint robotic manipulator with dynamic uncertainties. IEEE Transactions on Cybernetics. (2021). https://doi.org/10.1109/TCYB.2021.3091531

    Article  Google Scholar 

  23. Zhao, M., Peng, C., He, W., Song, Y.: Event-triggered communication for leader-following consensus of second-order multiagent systems. IEEE Transactions on Cybernetics. 48(6), 1888–1897 (2017). https://doi.org/10.1109/TCYB.2017.2716970

    Article  Google Scholar 

  24. Li, Y., Yang, G., Tong, S.: Fuzzy adaptive distributed event-triggered consensus control of uncertain nonlinear multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 49(9), 1777–1786 (2018). https://doi.org/10.1109/TSMC.2018.2812216

    Article  Google Scholar 

  25. Wang, W., Long, J., Zhou, J., Huang, J., Wen, C.: Adaptive backstepping based consensus tracking of uncertain nonlinear systems with event-triggered communication. Automatica. 133, 109841 (2021). https://doi.org/10.1016/j.automatica.2021.109841

    Article  MathSciNet  MATH  Google Scholar 

  26. Gao, H., Li, Z., Yu, X., Qiu, J.: Hierarchical multiobjective heuristic for PCB assembly optimization in a beam-head surface mounter. IEEE Transactions on Cybernetics. 52(7), 6911–6924 (2022). https://doi.org/10.1109/TCYB.2020.3040788

    Article  Google Scholar 

  27. Shi, P., Sun, W., Yang, X., Rudas, I.J., Gao, H.: Master-slave synchronous control of dual-drive gantry stage with cogging force compensation. IEEE Transactions on Systems, Man, and Cybernetics: Systems. 53(1), 216–225 (2023). https://doi.org/10.1109/TSMC.2022.3176952

    Article  Google Scholar 

  28. Xu, B., Wang, X., Shou, Y., Shi, P., Shi, Z.: Finite-time robust intelligent control of strict-feedback nonlinear systems with flight dynamics application. IEEE Transactions on Neural Networks and Learning Systems. (2021). https://doi.org/10.1109/TNNLS.2021.3072552

    Article  Google Scholar 

  29. He, W., Tan, Y., Ren, M.: CAD\(\backslash \)CAM system for formed turning tool grinding. 2010 IEEE International Conference on Industrial Engineering and Engineering Management. 2062–2065 (2010). https://doi.org/10.1109/IEEM.2010.5674648

  30. Wang, P., Wang, J., Bu, X., Luo, C., Tan, S.: Adaptive fuzzy back-stepping control of a flexible air-breathing hypersonic vehicle subject to input constraints. Journal of Intelligent & Robotic Systems. 87, 565–582 (2017). https://doi.org/10.1007/s10846-016-0438-9

    Article  Google Scholar 

  31. Lin, G., Li, H., Ma, H., Zhou, Q.: Distributed containment control for human-in-the-loop MASs with unknown time-varying parameters. IEEE Transactions on Circuits and Systems I: Regular Papers. 69(12), 5300–5311 (2022). https://doi.org/10.1109/TCSI.2022.3205335

    Article  Google Scholar 

  32. Zheng, X., Li, H., Ahn, C.K., Yao, D.: NN-based fixed-time attitude tracking control for multiple unmanned aerial vehicles with nonlinear faults. IEEE Transactions on Aerospace and Electronic Systems. (2022). https://doi.org/10.1109/TAES.2022.3205566

  33. Xing, L., Wen, C., Guo, F., Liu, Z., Su, H.: Event-based consensus for linear multiagent systems without continuous communication. IEEE Transactions on Cybernetics. 47(8), 2132–2142 (2016). https://doi.org/10.1109/TCYB.2016.2610419

    Article  Google Scholar 

  34. Long, J., Wang, W., Huang, J., Lü, J., Liu, K.: Adaptive leaderless consensus for uncertain high-order nonlinear multiagent systems with event-triggered communication. IEEE Transactions on Systems, Man, and Cybernetics: Systems. (2022). https://doi.org/10.1109/TSMC.2022.3150931

  35. Zhang, K., Jiang, B., Yan, X., Mao, Z., Polycarpou, M.: Fault-tolerant control for systems with unmatched actuator faults and disturbances. IEEE Transactions on Automatic Control. 66(4), 1725–1732 (2020). https://doi.org/10.1109/TAC.2020.2997347

    Article  MathSciNet  MATH  Google Scholar 

  36. Xing, L., Wen, C., Liu, Z., Su, H., Cai, J.: Event-triggered adaptive control for a class of uncertain nonlinear systems. IEEE Transactions on Automatic Control. 62(4), 2071–2076 (2017). https://doi.org/10.1109/TAC.2016.2594204

    Article  MathSciNet  MATH  Google Scholar 

  37. Li, Y.: Command filter adaptive asymptotic tracking of uncertain nonlinear systems with time-varying parameters and disturbances. IEEE Transactions on Automatic Control. 67(6), 2973–2980 (2021). https://doi.org/10.1109/TAC.2021.3089626

    Article  MathSciNet  MATH  Google Scholar 

  38. Abed-alguni, B.H., Chalup, S.K., Henskens, F.A., Paul, D.J.: A multi-agent cooperative reinforcement learning model using a hierarchy of consultants, tutors and workers. Vietnam Journal of Computer Science. 2, 213–226 (2015). https://doi.org/10.1007/s40595-015-0045-x

    Article  Google Scholar 

  39. Abed-Alguni, B.H, Paul, D.J, Chalup, S.K, Henskens, F.A.: A comparison study of cooperative Q-learning algorithms for independent learners. International Journal of Artificial Intelligence. 14(1), 71–93 (2016). https://hdl.handle.net/1959.11/18663

  40. Zuo, Z., Tian, B., Defoort, M., Ding, Z.: Fixed-time consensus tracking for multiagent systems with high-order integrator dynamics. IEEE Transactions on Automatic Control. 63(2), 563–570 (2017). https://doi.org/10.1109/TAC.2017.2729502

    Article  MathSciNet  MATH  Google Scholar 

  41. Li, K., Hua, C., You, X., Guan, X.: Distributed output-feedback consensus control of multiagent systems with unknown output measurement sensitivity. IEEE Transactions on Automatic Control. 66(7), 3303–3310 (2020). https://doi.org/10.1109/TAC.2020.3017711

  42. Shao, J., Shi, L., Cheng, Y., Li, T.: Asynchronous tracking control of leader-follower multiagent systems with input uncertainties over switching signed digraphs. IEEE Transactions on Cybernetics. 52(7), 6379–6390 (2022). https://doi.org/10.1109/TCYB.2020.3044627

    Article  Google Scholar 

  43. Li, Y., Min, X., Tong, S.: Adaptive fuzzy inverse optimal control for uncertain strict-feedback nonlinear systems. IEEE Transactions on Fuzzy Systems. 28(10), 2363–2374 (2020). https://doi.org/10.1109/TFUZZ.2019.2935693

    Article  Google Scholar 

  44. Pan, Y., Li, Q., Liang, H., Lam, H.K.: A novel mixed control approach for fuzzy systems via membership functions online learning policy. IEEE Transactions on Fuzzy Systems. IEEE Transactions on Fuzzy Systems. 30(9), 3812–3822 (2022). https://doi.org/10.1109/TFUZZ.2021.3130201

  45. Li, T., Bai, W., Liu, Q., Long, Y., Chen, C.L.: Distributed fault-tolerant containment control protocols for the discrete-time multiagent systems via reinforcement learning method. IEEE Transactions on Neural Networks and Learning Systems. (2021). https://doi.org/10.1109/TNNLS.2021.3121403

    Article  Google Scholar 

  46. Sun, Z., Huang, N., Anderson, B.D.O., Duan, Z.: Event-based multiagent consensus control: Zeno-free triggering via \(\cal{L} ^p\) signals. IEEE Transactions on Cybernetics. 50(1), 284–296 (2020). https://doi.org/10.1109/TCYB.2018.2868786

    Article  Google Scholar 

  47. Lamperski, A., Ames, A.D.: Lyapunov theory for Zeno stability. IEEE Transactions on Automatic Control. 58(1), 100–112 (2013). https://doi.org/10.1109/TAC.2012.2208292

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This work was partially supported by the National Natural Science Foundation of China (62103108), the Basic Scientific Research Project of the Education Department of Liaoning Provincial (LJKQZ20222437)

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Data simulation, manuscript revision and proofreading were performed by Xiaoyu Yang, Liang Cao, Yingnan Pan and Qing Lu. The first draft of the manuscript was written by Xiaoyu Yang and all authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Liang Cao.

Ethics declarations

Conflicts of interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper

Ethics Approval

The authors respect the Ethical Guidelines of the Journal

Consent to Participate

Informed consent was obtained from all individual participants included in the study

Consent for publication

Not applicable

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Liang Cao, Yingnan Pan and Qing Lu contributed equally to this work.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, X., Cao, L., Pan, Y. et al. Distributed Leaderless Consensus Control for Uncertain Multiagent Systems with Event-triggered Communication and Disturbances. J Intell Robot Syst 108, 48 (2023). https://doi.org/10.1007/s10846-023-01899-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10846-023-01899-y

Keywords

Navigation