Fixed-time group consensus of second-order multi-agent systems based on event-triggered control

doi:10.1088/1674-1056/acb9ee

Abstract The problem of fixed-time group consensus for second-order multi-agent systems with disturbances is investigated. For cooperative-competitive network, two different control protocols, fixed-time group consensus and fixed-time event-triggered group consensus, are designed. It is demonstrated that there is no Zeno behavior under the designed event-triggered control. Meanwhile, it is proved that for an arbitrary initial state of the system, group consensus within the settling time could be obtained under the proposed control protocols by using matrix analysis and graph theory. Finally, a series of numerical examples are propounded to illustrate the performance of the proposed control protocol.

Keywords: event-triggered control group consensus multi-agent system fixed-time

Received: 22 December 2022
Revised: 05 February 2023
Accepted manuscript online: 08 February 2023

PACS:	07.05.Dz	(Control systems)
	02.30.Yy	(Control theory)
	89.75.-k	(Complex systems)

Fund: Project supported by the Graduate Student Research Innovation Project of Chongqing (Grant No. CYS22482), the National Natural Science Foundation of China (Grant No. 61773082), the Science and Technology Research Program of Chongqing Municipal Education Commission (Grant No. KJZD-K202000601), and the Research Program of Chongqing Talent, China (Grant No. cstc2021ycjhbgzxm0044).

Corresponding Authors: Fenglan Sun
E-mail: sunfl@cqupt.edu.cn

Cite this article:

Xiaoshuai Wu(武肖帅), Fenglan Sun(孙凤兰), Wei Zhu(朱伟), and Jürgen Kurths Fixed-time group consensus of second-order multi-agent systems based on event-triggered control 2023 Chin. Phys. B 32 070701

[1] Li Y F, Tang C C, Peeta S and Wang Y B 2019 IEEE Trans. Intell. Transp. Syst. 20 2209
[2] Chen L M, Li C J, Sun Y C and Ma G F 2017 Chin. Phys. B 26 068703
[3] Zhang H, Zhou X, Wang Z P, Yan H C and Sun J 2019 IEEE Trans. Cybern. 49 1580
[4] Hu X, Liu Z W, Wen G H, Yu X H and Liu C 2020 IEEE Trans. Smart Grid 11 4017
[5] Sun F L, Wu X S, Kurths J and Zhu W 2023 IEEE Trans. Syst. Man Cybern. Syst. 53 2572
[6] Shi H T, Hou M X, Wu Y H, Guo J and Feng D K 2020 Int. J. Control Autom. Syst. 18 2765
[7] Shan L and Liu C L 2018 J. Franklin Inst. 355 8957
[8] Gao H Y, Hu A H, Shen W Q and Jiang Z X 2019 Chin. Phys. B 28 060501
[9] Liu Z W, Wen G H, Yu X H, Guan Z H and Huang T W 2020 IEEE Trans. Cybern. 50 3045
[10] Han Y Y and Li C D 2018 Neurocomputing 286 51
[11] Wu Z H and Xie L B 2022 Chin. Phys. B 31 128902
[12] Han Z Y, Jia Q and Tang W K 2020 Int. J. Syst. Sci. 51 2192
[13] Ren H W and Deng F Q 2017 Chin. Phys. B 26 100506
[14] Shi S, Feng H Y, Liu W H and Zhuang G M 2019 Nonlinear Dyn. 96 1317
[15] Wang H, Yu W W, Ren W and Lü J H 2021 IEEE Trans. Cybern. 51 1347
[16] Ke J, Huang W C, Wang J Y and Zeng J P 2022 ISA Trans. 119 135
[17] Zou W C, Qian K W and Xiang Z R 2020 IEEE Trans. Circuits Syst. II Express Briefs. 67 1279
[18] Du H B, Wen G H, Wu D, Cheng Y Y and Lü J H 2020 Automatica 113 108797
[19] Shi S, Xu S Y and Feng H Y 2021 IEEE Trans. Syst. Man Cybern. Syst. 51 1869
[20] Sun F L, Wang F, Liu P Y and Kurths J 2022 Int. J. Robust Nonlinear Control 32 1469
[21] Ji L H, Gao T and Liao X F 2021 IEEE Trans. Syst. Man Cybern. Syst. 51 5367
[22] Guo X, Lu J Q, Alsaedi A and Alsaadi F E 2018 Physica A 495 488
[23] Ning B D, Han Q L and Zuo Z Y 2021 IEEE Trans. Automat. Control 66 2739
[24] Sun F L, Wu X S, Kurths J and Zhu W 2022 Nonlinear Dyn. 110 3447
[25] Liu J, Zhang Y L, Yu Y and Sun C Y 2019 IEEE Trans. Syst. Man Cybern. Syst. 49 2221
[26] Wang J H, Xu Y L, Zhang J and Yang D D 2018 Chin. Phys. B 27 040504
[27] Liu J, Zhang Y L, Sun C Y and Yu Y 2019 Inform. Sci. 480 261
[28] Zhang A, Zhou D, Yang P and Yang M 2019 Int. J. Control Autom. Syst. 17 836
[29] Altafini C 2012 IEEE Trans. Automat. Control 57 2106
[31] Zuo Z Y and Tie L 2016 Int. J. Syst. Sci. 47 1366

[1]	Memory-augmented adaptive flocking control for multi-agent systems subject to uncertain external disturbances Ximing Wang(王希铭), Jinsheng Sun(孙金生), Zhitao Li(李志韬), and Zixing Wu(吴梓杏). Chin. Phys. B, 2022, 31(2): 020203.
[2]	Fault-tolerant finite-time dynamical consensus of double-integrator multi-agent systems with partial agents subject to synchronous self-sensing function failure Zhi-Hai Wu(吴治海) and Lin-Bo Xie(谢林柏). Chin. Phys. B, 2022, 31(12): 128902.
[3]	Consensus problems on networks with free protocol Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡). Chin. Phys. B, 2021, 30(7): 070701.
[4]	Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks Xia Chen(陈侠), Li-Yuan Yin(尹立远), Yong-Tai Liu(刘永泰), Hao Liu(刘皓). Chin. Phys. B, 2019, 28(9): 090701.
[5]	Group consensus of multi-agent systems subjected to cyber-attacks Hai-Yun Gao(高海云), Ai-Hua Hu(胡爱花), Wan-Qiang Shen(沈莞蔷), Zheng-Xian Jiang(江正仙). Chin. Phys. B, 2019, 28(6): 060501.
[6]	Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞). Chin. Phys. B, 2019, 28(5): 050501.
[7]	H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies Muyun Fang(方木云), Cancan Zhou(周灿灿), Xin Huang(黄鑫), Xiao Li(李晓), Jianping Zhou(周建平). Chin. Phys. B, 2019, 28(1): 010703.
[8]	Mean-square composite-rotating consensus of second-order systems with communication noises Li-po Mo(莫立坡), Shao-yan Guo(郭少岩), Yong-guang Yu(于永光). Chin. Phys. B, 2018, 27(7): 070504.
[9]	Distance-based formation tracking control of multi-agent systems with double-integrator dynamics Zixing Wu(吴梓杏), Jinsheng Sun(孙金生), Ximing Wang(王希铭). Chin. Phys. B, 2018, 27(6): 060202.
[10]	Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies Jin-Huan Wang(王金环), Yu-Ling Xu(许玉玲), Jian Zhang(张建), De-Dong Yang(杨德东). Chin. Phys. B, 2018, 27(4): 040504.
[11]	Generation of optimal persistent formations for heterogeneous multi-agent systems with a leader constraint Guo-Qiang Wang(王国强), He Luo(罗贺), Xiao-Xuan Hu(胡笑旋). Chin. Phys. B, 2018, 27(2): 028901.
[12]	Leader-following consensus of discrete-time fractional-order multi-agent systems Erfan Shahamatkhah, Mohammad Tabatabaei. Chin. Phys. B, 2018, 27(1): 010701.
[13]	Tracking consensus for nonlinear heterogeneous multi-agent systems subject to unknown disturbances via sliding mode control Xiang Zhang(张翔), Jin-Huan Wang(王金环), De-Dong Yang(杨德东), Yong Xu(徐勇). Chin. Phys. B, 2017, 26(7): 070501.
[14]	Cooperative impulsive formation control for networked uncertain Euler-Lagrange systems with communication delays Liang-ming Chen(陈亮名), Chuan-jiang Li(李传江), Yan-chao Sun(孙延超), Guang-fu Ma(马广富). Chin. Phys. B, 2017, 26(6): 068703.
[15]	Stochastic bounded consensus of second-order multi-agent systems in noisy environment Hong-Wei Ren(任红卫), Fei-Qi Deng(邓飞其). Chin. Phys. B, 2017, 26(10): 100506.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Fixed-time group consensus of second-order multi-agent systems based on event-triggered control

Cite this article:

Online attention