IEEE/CAA Journal of Automatica Sinica
Citation: | L. Feng, B. Huang, J. Sun, Q. Sun, and X. Xie, “Adaptive event-triggered time-varying output group formation containment control of heterogeneous multiagent systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 6, pp. 1398–1409, Jun. 2024. doi: 10.1109/JAS.2024.124260 |
In this paper, a class of time-varying output group formation containment control problem of general linear heterogeneous multiagent systems (MASs) is investigated under directed topology. The MAS is composed of a number of tracking leaders, formation leaders and followers, where two different types of leaders are used to provide reference trajectories for movement and to achieve certain formations, respectively. Firstly, compensators are designed whose states are estimations of tracking leaders, based on which, a controller is developed for each formation leader to accomplish the expected formation. Secondly, two event-triggered compensators are proposed for each follower to evaluate the state and formation information of the formation leaders in the same group, respectively. Subsequently, a control protocol is designed for each follower, utilizing the output information, to guide the output towards the convex hull generated by the formation leaders within the group. Next, the triggering sequence in this paper is decomposed into two sequences, and the inter-event intervals of these two triggering conditions are provided to rule out the Zeno behavior. Finally, a numerical simulation is introduced to confirm the validity of the proposed results.
[1] |
Z. Peng, G. Wen, S. Yang, and A. Rahmani, “Distributed consensus-based formation control for nonholonomic wheeled mobile robots using adaptive neural network,” Nonlin. Dyn., vol. 86, no. 1, pp. 605–622, Oct. 2016. doi: 10.1007/s11071-016-2910-2
|
[2] |
Z. Huang, R. Bauer, and Y.-J. Pan, “Event-triggered formation tracking control with application to multiple mobile robots,” IEEE Trans. Ind. Electron., vol. 70, no. 1, pp. 846–854, Jan. 2023. doi: 10.1109/TIE.2022.3146582
|
[3] |
B. Huang, Y. Li, F. Zhan, Q. Sun, and H. Zhang, “A distributed robust economic dispatch strategy for integrated energy system considering cyber-attacks,” IEEE Trans. Ind. Inform., vol. 18, no. 2, pp. 880–890, Feb. 2022. doi: 10.1109/TII.2021.3077509
|
[4] |
Z. Liu, Y. Xu, C. Zhang, H. Elahi, and X. Zhou, “A blockchain-based trustworthy collaborative power trading scheme for 5g-enabled social internet of vehicles,” Digit. Commun. Netw., vol. 8, no. 6, pp. 976–983, Dec. 2022. doi: 10.1016/j.dcan.2022.10.014
|
[5] |
M. Chen, P. Shi, and C.-C. Lim, “Adaptive neural fault-tolerant control of a 3-DOF model helicopter system,” IEEE Trans. Syst. Man Cybern. -Syst., vol. 46, no. 2, pp. 260–270, Feb. 2016. doi: 10.1109/TSMC.2015.2426140
|
[6] |
Y. Su, Q. Wang, and C. Sun, “Self-triggered consensus control for linear multi-agent systems with input saturation,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 150–157, Jan. 2020. doi: 10.1109/JAS.2019.1911837
|
[7] |
M. Lu, J. Wu, X. Zhan, T. Han, and H. Yan, “Consensus of second-order heterogeneous multi-agent systems with and without input saturation,” ISA Trans., vol. 126, pp. 14–20, Jul. 2022. doi: 10.1016/j.isatra.2021.08.001
|
[8] |
J. Zhang and H. Zhang, “Adaptive event-triggered consensus of linear multiagent systems with resilience to communication link faults for digraphs,” IEEE Trans. Circuits Syst. Ⅱ——Express Briefs, vol. 69, no. 7, pp. 3249–3253, Jul. 2022. doi: 10.1109/TCSII.2022.3159846
|
[9] |
W. Li, M. Sader, Z. Zhu, Z. Liu, and Z. Chen, “Event-triggered fault-tolerant secure containment control of multi-agent systems through impulsive scheme,” Inf. Sci., vol. 622, pp. 1128–1140, Apr. 2023. doi: 10.1016/j.ins.2022.11.132
|
[10] |
W. Huang, H. Liu, and J. Huang, “Distributed robust containment control of linear heterogeneous multi-agent systems: An output regulation approach,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 5, pp. 864–877, May 2022. doi: 10.1109/JAS.2022.105560
|
[11] |
L. Feng, B. Huang, J. Sun, X. Xie, H. Zhang, and J. Ren, “Multi-stage dynamic event-triggered containment control of nonlinear multi-agent systems with input-bounded leaders and time-varying delay,” Int. J. Robust Nonlinear Control, vol. 33, no. 1, pp. 574–591, Jan. 2023. doi: 10.1002/rnc.6396
|
[12] |
S. Zuo, Y. Song, F. L. Lewis, and A. Davoudi, “Time-varying output formation containment of general linear homogeneous and heterogeneous multiagent systems,” IEEE Trans. Control Netw. Syst., vol. 6, no. 2, pp. 537–548, Jun. 2019. doi: 10.1109/TCNS.2018.2847039
|
[13] |
C. Viel, M. Kieffer, H. Piet-Lahanier, and S. Bertrand, “Distributed event-triggered formation control for multi-agent systems in presence of packet losses,” Automatica, vol. 141, p. 110215, Jul. 2022. doi: 10.1016/j.automatica.2022.110215
|
[14] |
X. Dong, Y. Hua, Y. Zhou, Z. Ren, and Y. Zhong, “Theory and experiment on formation-containment control of multiple multirotor unmanned aerial vehicle systems,” IEEE Trans. Autom. Sci. Eng., vol. 16, no. 1, pp. 229–240, Jan. 2019. doi: 10.1109/TASE.2018.2792327
|
[15] |
I. V. Pustokhina, D. A. Pustokhin, P. Kumar Pareek, D. Gupta, A. Khanna, and K. Shankar, “Energy-efficient cluster-based unmanned aerial vehicle networks with deep learning-based scene classification model,” Int. J. Commun. Syst., vol. 34, no. 8, p. e4786, May 2021. doi: 10.1002/dac.4786
|
[16] |
L. Tian, Y. Hua, X. Dong, J. Lv, and Z. Ren, “Distributed time-varying group formation tracking for multiagent systems with switching interaction topologies via adaptive control protocols,” IEEE Trans. Ind. Inform., vol. 18, no. 12, pp. 8422–8433, Dec. 2022. doi: 10.1109/TII.2022.3149912
|
[17] |
J. Hu, P. Bhowmick, and A. Lanzon, “Distributed adaptive time-varying group formation tracking for multiagent systems with multiple leaders on directed graphs,” IEEE Trans. Control Netw. Syst., vol. 7, no. 1, pp. 140–150, Mar. 2020. doi: 10.1109/TCNS.2019.2913619
|
[18] |
Y. Li, H. Zhang, X. Liang, and B. Huang, “Event-triggered-based distributed cooperative energy management for multienergy systems,” IEEE Trans. Ind. Inform., vol. 15, no. 4, pp. 2008–2022, Apr. 2019. doi: 10.1109/TII.2018.2862436
|
[19] |
G. S. Seyboth, D. V. Dimarogonas, and K. H. Johansson, “Event-based broadcasting for multi-agent average consensus,” Automatica, vol. 49, no. 1, pp. 245–252, Jan. 2013. doi: 10.1016/j.automatica.2012.08.042
|
[20] |
Y. Fan, G. Feng, Y. Wang, and C. Song, “Distributed event-triggered control of multi-agent systems with combinational measurements,” Automatica, vol. 49, no. 2, pp. 671–675, Feb. 2013. doi: 10.1016/j.automatica.2012.11.010
|
[21] |
H. Jiang, X. Wang, B. Niu, H. Wang, and X. Liu, “Event-triggered adaptive tracking containment control of nonlinear multiagent systems with unmodeled dynamics and prescribed performance,” Int. J. Robust Nonlinear Control, vol. 33, no. 4, pp. 2629–2650, Dec. 2022.
|
[22] |
W. Zhu, W. Cao, and Z.-P. Jiang, “Distributed event-triggered formation control of multiagent systems via complex-valued Laplacian,” IEEE Trans. Cybern., vol. 51, no. 4, pp. 2178–2187, Apr. 2021. doi: 10.1109/TCYB.2019.2908190
|
[23] |
J. Zhang, H. Zhang, Z. Gao, and S. Sun, “Time-varying formation control with general linear multi-agent systems by distributed event-triggered mechanisms under fixed and switching topologies,” Neural Comput. Appl., vol. 34, no. 6, pp. 4277–4294, Mar. 2022. doi: 10.1007/s00521-021-06539-w
|
[24] |
Z. Sun, N. Huang, B. D. O. Anderson, and Z. Duan, “Event-based multiagent consensus control: Zeno-free triggering via ${{\cal{L}}^p}$ signals,” IEEE Trans. Cybern., vol. 50, no. 1, pp. 284–296, Jan. 2020. doi: 10.1109/TCYB.2018.2868786
|
[25] |
A. Amini, A. Asif, and A. Mohammadi, “Formation-containment control using dynamic event-triggering mechanism for multi-agent systems,” IEEE/CAA J. Autom. Sinica, vol. 7, no. 5, pp. 1235–1248, Sept. 2020.
|
[26] |
W. Chen, Z. Wang, D. Ding, G. Ghinea, and H. Liu, “Distributed formation-containment control for discrete-time multiagent systems under dynamic event-triggered transmission scheme,” IEEE Trans. Syst. Man Cybern. -Syst., vol. 53, no. 2, pp. 1308–1319, Feb. 2023. doi: 10.1109/TSMC.2022.3197555
|
[27] |
D. Ye and X. Yang, “Distributed event-triggered consensus for nonlinear multi-agent systems subject to cyber attacks,” Inf. Sci., vol. 473, pp. 178–189, Jan. 2019. doi: 10.1016/j.ins.2018.09.030
|
[28] |
W. Jiang, G. Wen, Z. Peng, T. Huang, and A. Rahmani, “Fully distributed formation-containment control of heterogeneous linear multiagent systems,” IEEE Trans. Autom. Control, vol. 64, no. 9, pp. 3889–3896, Sept. 2019. doi: 10.1109/TAC.2018.2887409
|
[29] |
J. Zhang, H. Zhang, Y. Liang, and W. Song, “Adaptive bipartite output tracking consensus in switching networks of heterogeneous linear multiagent systems based on edge events,” IEEE Trans. Neural Netw. Learn. Syst., vol. 34, no. 1, pp. 79–89, Jan. 2023. doi: 10.1109/TNNLS.2021.3089596
|
[30] |
Y. Lu, X. Dong, Q. Li, J. Lü, and Z. Ren, “Time-varying group formation-containment tracking control for general linear multiagent systems with unknown inputs,” IEEE Trans. Cybern., vol. 52, no. 10, pp. 11 055–11 067, Nov. 2022. doi: 10.1109/TCYB.2021.3058086
|
[31] |
S. Dong, G. Chen, M. Liu, and Z.-G. Wu, “Intermittent cluster consensus control of multiagent systems from a static/dynamic output approach,” IEEE Trans. Syst. Man Cybern. -Syst., vol. 52, no. 12, pp. 7727–7736, Dec. 2022. doi: 10.1109/TSMC.2022.3163394
|
[32] |
X. Li, Z. Sun, Y. Tang, and H. R. Karimi, “Adaptive event-triggered consensus of multiagent systems on directed graphs,” IEEE Trans. Autom. Control, vol. 66, no. 4, pp. 1670–1685, Apr. 2021. doi: 10.1109/TAC.2020.3000819
|
[33] |
W. Li, H. Zhang, Z. Gao, Y. Wang, and J. Sun, “Fully distributed event/self-triggered bipartite output formation-containment tracking control for heterogeneous multiagent systems,” IEEE Trans. Neural Netw. Learn. Syst., vol. 34, no. 10, pp. 7851–7860, Oct. 2023. doi: 10.1109/TNNLS.2022.3146814
|
[34] |
J. Zhang, H. Zhang, Z. Ming, and Y. Mu, “Adaptive event-triggered time-varying output bipartite formation containment of multiagent systems under directed graphs,” IEEE Trans. Neural Netw. Learn. Syst., vol. 34, no. 11, pp. 8909–8922, Nov. 2023. doi: 10.1109/TNNLS.2022.3154028
|
[35] |
W. Li, H. Zhang, Y. Zhou, and Y. Wang, “Bipartite formation tracking for multi-agent systems using fully distributed dynamic edge-event-triggered protocol,” IEEE/CAA J. Autom. Sinica, vol. 9, no. 5, pp. 847–853, May 2022. doi: 10.1109/JAS.2021.1004377
|
[36] |
J. Huang, Nonlinear Output Regulation: Theory and Applications. Philadelphia, PA, USA: SIAM, 2004.
|
[37] |
X. Zhang, J. Wu, X. Zhan, T. Han, and H. Yan, “Observer-based adaptive time-varying formation-containment tracking for multiagent system with bounded unknown input,” IEEE Trans. Syst. Man Cybern. -Syst., vol. 53, no. 3, pp. 1479–1491, Mar. 2023. doi: 10.1109/TSMC.2022.3199410
|
[38] |
Y.-W. Wang, X.-K. Liu, J.-W. Xiao, and Y. Shen, “Output formation-containment of interacted heterogeneous linear systems by distributed hybrid active control,” Automatica, vol. 93, pp. 26–32, Jul. 2018. doi: 10.1016/j.automatica.2018.03.020
|
[39] |
X. Dong, Y. Zhou, Z. Ren, and Y. Zhong, “Time-varying formation tracking for second-order multi-agent systems subjected to switching topologies with application to quadrotor formation flying,” IEEE Trans. Ind. Electron., vol. 64, no. 6, pp. 5014–5024, Jun. 2017. doi: 10.1109/TIE.2016.2593656
|
[40] |
X. Gong, Y. Cui, J. Shen, Z. Feng, and T. Huang, “Necessary and sufficient conditions of formation-containment control of high-order multiagent systems with observer-type protocols,” IEEE Trans. Cybern., vol. 52, no. 7, pp. 7002–7016, Jul. 2022. doi: 10.1109/TCYB.2020.3037133
|
[41] |
X. Dong and G. Hu, “Time-varying formation tracking for linear multiagent systems with multiple leaders,” IEEE Trans. Autom. Control, vol. 62, no. 7, pp. 3658–3664, Jul. 2017. doi: 10.1109/TAC.2017.2673411
|
[42] |
Q. Hou and J. Dong, “Distributed dynamic event-triggered consensus control for multiagent systems with guaranteed l2 performance and positive inter-event times,” IEEE Trans. Autom. Sci. Eng., vol. 21, no. 1, pp. 746–757, Jan. 2024. doi: 10.1109/TASE.2022.3231845
|
[43] |
B. Cheng and Z. Li, “Fully distributed event-triggered protocols for linear multiagent networks,” IEEE Trans. Autom. Control, vol. 64, no. 4, pp. 1655–1662, Apr. 2019. doi: 10.1109/TAC.2018.2857723
|
[44] |
J. Zhang, H. Zhang, W. Li, and Y. Wang, “Adaptive event-triggered bipartite containment control of linear multiagent systems under directed topologies,” IEEE Trans. Control Netw. Syst., vol. 10, no. 1, pp. 516–525, Mar. 2023. doi: 10.1109/TCNS.2022.3204741
|
[45] |
X. Ruan, J. Feng, C. Xu, and J. Wang, “Observer-based dynamic event-triggered strategies for leader-following consensus of multi-agent systems with disturbances,” IEEE Trans. Netw. Sci. Eng., vol. 7, no. 4, pp. 3148–3158, Oct. 2020. doi: 10.1109/TNSE.2020.3017493
|