Bipartite Formation Tracking for Multi-Agent Systems Using Fully Distributed Dynamic Edge-Event-Triggered Protocol

Weihua Li; Huaguang Zhang; Yu Zhou; Yingchun Wang

doi:10.1109/JAS.2021.1004377

Volume 9 Issue 5

May 2022

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2022 > 9(5): 847-853

W. H. Li, H. G. Zhang, Y. Zhou, and Y. C. 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

Citation:

W. H. Li, H. G. Zhang, Y. Zhou, and Y. C. 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

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Bipartite Formation Tracking for Multi-Agent Systems Using Fully Distributed Dynamic Edge-Event-Triggered Protocol

doi: 10.1109/JAS.2021.1004377

Weihua Li^1
,,
Huaguang Zhang^{2, 3
,
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Yu Zhou^1
,,
Yingchun Wang^1
,

1.
College of Information Science and Engineering, Northeastern University, Shenyang 110819, China
2.
State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110004, China
3.
College of Information Science and Engineering, Northeastern University, Shenyang 110819, China

Funds: This work was supported by National Key R & D Program of China (2018YFA0702200), the National Natural Science Foundation of China (61627809, 62173080), and Liaoning Revitalization Talents Program (XLYC1801005)

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Author Bio:
Weihua Li received the B.S. degree in electrical engineering and automation from Shenyang University of Technology in 2018. He is currently a Ph.D. candidate in control theory and control engineering at College of Information Science and Engineering, Northeastern University. His current research interests include multi-agent systems, event/self-triggered control, fully distributed cooperative control and cyber-physical systems

Huaguang Zhang (Fellow, IEEE) received the B.S. and M.S. degrees in control engineering from the Northeast Dianli University of China in 1982 and 1985, respectively, and the Ph.D. degree in thermal power engineering and automation from Southeast University in 1991. He joined the Department of Automatic Control, Northeastern University in 1992, as a Post-Doctoral Fellow for two years. Since 1994, he has been a Professor and the Head of the Institute of Electric Automation, School of Information Science and Engineering, Northeastern University. His main research interests include fuzzy control, stochastic system control, neural networks-based control, nonlinear control, and their applications

Yu Zhou received the B.S. and M.S. degrees in engineering from Bohai University in 2016 and 2019, respectively. He is currently a Ph.D. candidate in control theory and control engineering at Nor- theastern University. His current research interests include multi-agent systems and coordination control

Yingchun Wang (Member, IEEE) received the B.S., M.S., and Ph.D. degrees from Northeastern University in 1997, 2003, and 2006, respectively. He is currently an Associate Professor with the College of Information Science and Engineering, Northeastern University. From 2015 to 2016, he was a Visiting Scholar with West Sydney University, Australia. His current research interests include network control, multi-agent systems, sliding mode control, fuzzy control, stochastic control. He was an Outstanding Reviewer of IEEE Transactions on Cybernetics 2015
Corresponding author: Huaguang Zhang, e-mail: hgzhang@ieee.org
Received Date: 2021-10-21
Accepted Date: 2021-11-13

Available Online: 2021-11-27

Abstract

Abstract

In this study, the bipartite time-varying output formation tracking problem for heterogeneous multi-agent systems (MASs) with multiple leaders and switching communication networks is considered. Note that the switching communication networks may be connected or disconnected. To address this problem, a novel reduced-dimensional observer-based fully distributed asynchronous dynamic edge-event-triggered output feedback control protocol is developed, and the Zeno behavior is ruled out. The theoretical analysis gives the admissible switching frequency and switching width under the proposed control protocol. Different from the existing works, the control protocol reduces the dimension of information to be transmitted between neighboring agents. Moreover, since an additional positive internal dynamic variable is introduced into the triggering functions, the control protocol can guarantee a larger inter-event time interval compared with previous results. Finally, a simulation example is given to verify the effectiveness and performance of the theoretical result.
- Bipartite control,
- dynamic edge-event-triggered control,
- formation tracking,
- multi-agent systems (MASs)

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References(40)

References

[1]	Y. H. Wang, Y. F. Liu, and Z. Wang, “Theory and experiments on enclosing control of multi-agent systems,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 10, pp. 1677–1685, Oct. 2021. doi: 10.1109/JAS.2021.1004138
[2]	X. W. Li, Z. Y. Sun, Y. Tang, and H. R. Karimi, “Adaptive event-triggered consensus of multiagent systems on directed graphs,” IEEE Trans. Automat. Contr., vol. 66, no. 4, pp. 1670–1685, Apr. 2021. doi: 10.1109/TAC.2020.3000819
[3]	Q. L. Wei, X. Wang, X. N. Zhong, and N. Q. Wu, “Consensus control of leader-following multi-agent systems in directed topology with heterogeneous disturbances,” IEEE/CAA J. Autom. Sinica, vol. 8, no. 2, pp. 423–431, Feb. 2021. doi: 10.1109/JAS.2021.1003838
[4]	B. D. Ning, Q.-L. Han, and Z. Y. Zuo, “Bipartite consensus tracking for second-order multiagent systems: A time-varying function-based preset-time approach,” IEEE Trans. Automat. Contr., vol. 66, no. 6, pp. 2739–2745, Jun. 2021. doi: 10.1109/TAC.2020.3008125
[5]	R. Wang, X. W. Dong, Q. D. Li, and Z. Ren, “Distributed time-varying formation control for linear swarm systems with switching topologies using an adaptive output-feedback approach,” IEEE Trans. Syst. Man Cybern. Syst., vol. 49, no. 12, pp. 2664–2675, Dec. 2019. doi: 10.1109/TSMC.2017.2765203
[6]	Y. Zhao, Q. X. Duan, G. H. Wen, D. Zhang, and B. H. Wang, “Time-varying formation for general linear multiagent systems over directed topologies: A fully distributed adaptive technique,” IEEE Trans. Syst. Man Cybern. Syst., vol. 51, no. 1, pp. 532–541, Jan. 2021. doi: 10.1109/TSMC.2018.2877818
[7]	B. Cheng, Z. Z. Wu, and Z. K. Li, “Distributed edge-based event-triggered formation control,” IEEE Trans. Cybern., vol. 51, no. 3, pp. 1241–1252, Mar. 2021. doi: 10.1109/TCYB.2019.2910131
[8]	X. H. Ge and Q.-L. Han, “Distributed formation control of networked multi-agent systems using a dynamic event-triggered communication mechanism,” IEEE Trans. Industr. Electron., vol. 64, no. 10, pp. 8118–8127, Oct. 2017. doi: 10.1109/TIE.2017.2701778
[9]	H. G. Zhang, J. Duan, Y. C. Wang, and Z. Y. Gao, “Bipartite fixed-time output consensus of heterogeneous linear multiagent systems,” IEEE Trans. Cybern., vol. 51, no. 2, pp. 548–557, Feb. 2021. doi: 10.1109/TCYB.2019.2936009
[10]	X. M. Liu, S. S. Ge, C. H. Goh, and Y. N. Li, “Event-triggered coordination for formation tracking control in constrained space with limited communication,” IEEE Trans. Cybern., vol. 49, no. 3, pp. 1000–1011, Mar. 2019. doi: 10.1109/TCYB.2018.2794139
[11]	Y. Z. Hua, X. W. Dong, Q. D. Li, and Z. Ren, “Distributed time-varying formation robust tracking for general linear multi-agent systems with parameter uncertainties and external disturbances,” IEEE Trans. Cybern., vol. 47, no. 8, pp. 1959–1969, Aug. 2017. doi: 10.1109/TCYB.2017.2701889
[12]	C. H. Yan, W. Zhang, H. S. Su, and X. H. Li, “Adaptive bipartite time-varying output formation control for multi-agent systems on signed directed graphs, ” IEEE Trans. Cybern., DOI: 10.1109/TCYB.2021.3054648, 2021.
[13]	X. W. Dong, Y. Zhou, Z. Ren, and Y. S. Zhong, “Time-varying formation tracking for second-order multi-agent systems subjected to switching topologies with application to quadrotor formation flying,” IEEE Trans. Industr. Electron., vol. 64, no. 6, pp. 5014–5024, Jun. 2017. doi: 10.1109/TIE.2016.2593656
[14]	Y. Z. Hua, X. W. Dong, G. Q. Hu, Q. D. Li, and Z. Ren, “Distributed time-varying output formation tracking for heterogeneous linear multi-agent systems with a nonautonomous leader of unknown input,” IEEE Trans. Automat. Contr., vol. 64, no. 10, pp. 4292–4299, Oct. 2019. doi: 10.1109/TAC.2019.2893978
[15]	X. W. Dong and G. Q. Hu, “Time-varying formation tracking for linear multiagent systems with multiple leaders,” IEEE Trans. Automat. Contr., vol. 62, no. 7, pp. 3658–3664, Jul. 2017. doi: 10.1109/TAC.2017.2673411
[16]	S. Zuo, Y. D. Song, F. L. Lewis, and A. Davoudi, “Time-varying output formation containment of general linear homogeneous and heterogeneous multi-agent systems,” IEEE Trans. Control Netw. Syst., vol. 6, no. 2, pp. 537–548, Jun. 2019. doi: 10.1109/TCNS.2018.2847039
[17]	J. Y. Hu, Bhowmick, and A. Lanzon, “Distributed adaptive time-varying group formation tracking for multi-agent 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. L. Cai, H. G. Zhang, Y. C. Wang, Z. Y. Gao, and Q. He, “Adaptive bipartite fixed-time time-varying output formation-containment tracking of heterogeneous linear multi-agent systems, ” IEEE Trans. Neural Netw. Learn. Syst., DOI: 10.1109/TNNLS.2021.3059763, 2021.
[19]	J. L. Yu, X. W. Dong, Q. D. Li, J. H. Lü, and Z. Ren, “Fully adaptive practical time-varying output formation tracking for high-order nonlinear stochastic multiagent system with multiple leaders,” IEEE Trans. Cybern., vol. 51, no. 4, pp. 2265–2277, Apr. 2021. doi: 10.1109/TCYB.2019.2956316
[20]	H. G. Zhang, Z. Y. Gao, Y. C. Wang, and Y. L. Cai, “Leader-following exponential consensus of fractional-order descriptor multi-agent systems with distributed event-triggered strategy, ” IEEE Trans. Syst. Man Cybern. Syst., DOI: 10.1109/TSMC.2021.3082549, 2021.
[21]	W. F. Hu, C. H. Yang, T. W. Huang, and W. H. Gui, “A distributed dynamic event-triggered control approach to consensus of linear multi-agent systems with directed networks,” IEEE Trans. Cybern., vol. 50, no. 2, pp. 869–874, Feb. 2020. doi: 10.1109/TCYB.2018.2868778
[22]	W. L. He, B. Xu, Q.-L. Han, and F. Qian, “Adaptive consensus control of linear multi-agent systems with dynamic event-triggered strategies,” IEEE Trans. Cybern., vol. 50, no. 7, pp. 2996–3008, Jul. 2020. doi: 10.1109/TCYB.2019.2920093
[23]	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.
[24]	R. Wang, Q. Y. Sun, J. Han, J. G. Zhou, W. Hu, H. G. Zhang, and P. Wang, “Energy-management strategy of battery energy storage systems in DC microgrids: A distributed dynamic event-triggered $ \substack {H_{\infty}} $ consensus control, ” IEEE Trans. Syst. Man Cybern. Syst., DOI: 10.1109/TSMC.2021.3129184, 2021.
[25]	P. A. Ioannou and J. Sun, Robust Adaptive Control. New York, USA: Courier Corporation, 2012.
[26]	J. Zhang, H. G. Zhang, K. Zhang, and Y. L. Cai, “Observer-based output feedback event-triggered adaptive control for linear multi-agent systems under switching topologies, ” IEEE Trans. Neural Netw. Learn. Syst., DOI: 10.1109/TNNLS.2021.3084317, 2021.
[27]	B. Cheng and Z. K. Li, “Fully distributed event-triggered protocols for linear multi-agent networks,” IEEE Trans. Automat. Contr., vol. 64, no. 4, pp. 1655–1662, Apr. 2019. doi: 10.1109/TAC.2018.2857723
[28]	W. Li, H. Zhang, Y. Cai, and Y. Wang, “Fully distributed formation control of general linear multi-agent systems using a novel mixed self- and event-triggered strategy,” IEEE Trans. Syst. Man Cybern. Syst., DOI: 10.1109/TSMC.2021.3129469, 2021.
[29]	X. W. Li, Y. Tang, and H. R. Karimi, “Consensus of multi-agent systems via fully distributed event-triggered control,” Automatica, vol. 116, p. 108898, Jun. 2020.
[30]	J. Zhang, H. G. Zhang, Y. L. Liang, and W. Z. Song, “Adaptive bipartite output tracking consensus in switching networks of heterogeneous linear multi-agent systems based on edge events,” IEEE Trans. Neural Netw. Learn. Syst., DOI: 10.1109/TNNLS.2021.3089596, 2021.
[31]	B. Cheng and Z. K. Li, “Coordinated tracking control with asynchronous edge-based event-triggered communications,” IEEE Trans. Automat. Contr., vol. 64, no. 10, pp. 4321–4328, Oct. 2019. doi: 10.1109/TAC.2019.2895927
[32]	H. G. Zhang, J. Zhang, Y. L. Cai, S. X. Sun, and J. Y. Sun, “Leader-following consensus for a class of nonlinear multi-agent systems under event-triggered and edge-event triggered mechanisms,” IEEE Trans. Cybern., DOI: 10.1109/TCYB.2020.3035907, 2020.
[33]	Y. Y. Qian, L. Liu, and G. Feng, “Distributed dynamic event-triggered control for cooperative output regulation of linear multiagent systems,” IEEE Trans. Cybern., vol. 50, no. 7, pp. 3023–3032, Jul. 2020. doi: 10.1109/TCYB.2019.2905931
[34]	W. Y. Xu, D. W. C. Ho, and W. L. He, “Dynamic adaptive event-triggered scheme for general linear multi-agent systems,” IFAC-PapersOnLine, vol. 53, no. 2, pp. 1789–1794, Jan. 2020. doi: 10.1016/j.ifacol.2020.12.2329
[35]	G. H. Wen, X. H. Yu, W. W. Yu, and J. H. Lu, “Coordination and control of complex network systems with switching topologies: A survey,” IEEE Trans. Syst. Man Cybern. Syst., vol. 51, no. 10, pp. 6342–6357, Oct. 2021. doi: 10.1109/TSMC.2019.2961753
[36]	Y. L. Cai, H. G. Zhang, W. H. Li, Y. F. Mu, and Q. He, “Distributed bipartite adaptive event-triggered fault-tolerant consensus tracking for linear multi-agent systems under actuator faults, ” IEEE Trans. Cybern., DOI: 10.1109/TCYB.2021.3069955, 2021.
[37]	G. H. Wen and W. X. Zheng, “On constructing multiple Lyapunov functions for tracking control of multiple agents with switching topologies,” IEEE Trans. Automat. Contr., vol. 64, no. 9, pp. 3796–3803, Sep. 2019. doi: 10.1109/TAC.2018.2885079
[38]	H. G. Zhang, Y. L. Cai, Y. C. Wang, and H. G. Su, “Adaptive bipartite event-triggered output consensus of heterogeneous linear multi-agent systems under fixed and switching topologies,” IEEE Trans. Neural Netw. Learn. Syst., vol. 31, no. 11, pp. 4816–4830, Nov. 2020. doi: 10.1109/TNNLS.2019.2958107
[39]	Z. K. Li, W. Ren, X. D. Liu, and L. H. Xie, “Distributed consensus of linear multi-agent systems with adaptive dynamic protocols,” Automatica, vol. 49, no. 7, pp. 1986–1995, Jul. 2013. doi: 10.1016/j.automatica.2013.03.015
[40]	B. D. Ning, Q.-L. Han, and Z. Y. Zuo, “Practical fixed-time consensus for integrator-type multi-agent systems: A time base generator approach,” Automatica, vol. 105, pp. 406–414, Jul. 2019.

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This paper addresses the bipartite time-varying output formation tracking problem for heterogeneous MASs with multiple leaders and switching communication networks via a novel reduced-dimensional observer-based fully distributed asynchronous dynamic edge-event-triggered output feedback control protocol
The proposed control protocol reduces the dimension of information to be transmitted between neighboring agents
The control protocol can guarantee a larger inter-event time interval and reduce more communication frequency
A reduced-dimensional observer is designed. In contrast to the full-dimensional observer, the design cost of observer is greatly reduced
This paper considers the case that the switching communication networks may be disconnected. Theoretical analysis gives the admissible switching frequency and switching width under the proposed control protocol. Compared with related works, the admissible switching frequency and switching width are larger

Bipartite Formation Tracking for Multi-Agent Systems Using Fully Distributed Dynamic Edge-Event-Triggered Protocol

doi: 10.1109/JAS.2021.1004377

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通讯作者: 陈斌, bchen63@163.com

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