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.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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.
About this article
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
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10846-023-01899-y