Consensus problems on networks with free protocol

doi:10.1088/1674-1056/abe113

中国物理B ›› 2021, Vol. 30 ›› Issue (7): 70701-070701.doi: 10.1088/1674-1056/abe113

Consensus problems on networks with free protocol

Xiaodong Liu(柳晓东)¹ and Lipo Mo(莫立坡)^1,2,†

1 School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China;
2 Key Laboratory of Power Big Data of Guizhou Province, Guizhou Institute of Technology, Guiyang 550003, China

收稿日期:2020-12-01 修回日期:2021-01-09 接受日期:2021-01-29 出版日期:2021-06-22 发布日期:2021-06-22
通讯作者: Lipo Mo E-mail:molipo@th.btbu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61973329) and the Beijing Natural Science Foundation, China (Grant No. Z180005).

Consensus problems on networks with free protocol

Xiaodong Liu(柳晓东)¹ and Lipo Mo(莫立坡)^1,2,†

1 School of Mathematics and Statistics, Beijing Technology and Business University, Beijing 100048, China;
2 Key Laboratory of Power Big Data of Guizhou Province, Guizhou Institute of Technology, Guiyang 550003, China

Received:2020-12-01 Revised:2021-01-09 Accepted:2021-01-29 Online:2021-06-22 Published:2021-06-22
Contact: Lipo Mo E-mail:molipo@th.btbu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61973329) and the Beijing Natural Science Foundation, China (Grant No. Z180005).

摘要/Abstract

摘要： In the real world, rule makers can only restrict, not completely control the behavior of the governed, while the governed can only choose their behavior patterns under these restrictions. In this paper, we design a new control protocol called free protocol to describe this situation. First, we calculate consensus probabilities based on the information of the interaction networks. Then, sufficient conditions are obtained for all agents converging to a same value with probability one. Finally, numerical simulation results are given to verify the above results.

关键词: multi-agent systems, random protocol, consensus with probability one

Abstract: In the real world, rule makers can only restrict, not completely control the behavior of the governed, while the governed can only choose their behavior patterns under these restrictions. In this paper, we design a new control protocol called free protocol to describe this situation. First, we calculate consensus probabilities based on the information of the interaction networks. Then, sufficient conditions are obtained for all agents converging to a same value with probability one. Finally, numerical simulation results are given to verify the above results.

Key words: multi-agent systems, random protocol, consensus with probability one

中图分类号: (Control systems)

07.05.Dz

05.10.-a (Computational methods in statistical physics and nonlinear dynamics)

Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡). Consensus problems on networks with free protocol[J]. 中国物理B, 2021, 30(7): 70701-070701.

Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡). Consensus problems on networks with free protocol[J]. Chin. Phys. B, 2021, 30(7): 70701-070701.

参考文献

[1] Shi J, Yue D and Weng S X 2018 Trans. Institute of Measurement and Control 41 1553
[2] Bidram A, Davoudi A and Lewis F L 2013 IEEE Trans. Power Systems 28 3462
[3] Dong X W, Yu B C, Shi Z Y and Zhong Y S 2015 IEEE Trans. Control Systems Technol. 23 340
[4] Dong X W, Zhou Y, Ren Z and Zhong Y S 2016 Control Engineering Practice 46 26
[5] Atzeni I, Ordonez L G, Scutari G, Palomar D P and Fonollosa J R 2013 IEEE Trans. Smart Grid 4 866
[6] Gao H Y, Hu A H, Shen W Q and Jiang Z X 2019 Chin. Phys. B 28 060501
[7] Shahamatkhah E and Tabatabaei M 2018 Chin. Phys. B 27 010701
[8] Wang J H, Xu Y L, Zhang J and Yang D D 2018 Chin. Phys. B 27 040504
[9] Chen X, Yin L Y, Liu Y T and Liu H 2019 Chin. Phys. B 28 090701
[10] Mo L P, Guo S Y and Yu Y G 2018 Chin. Phys. B 27 070504
[11] Zhao L, Yu J P, Yu H S and Lin C 2019 Int. J. Robust and Nonlinear Control 29 2742
[12] Mo L P and Guo S Y 2019 J. Systems Sci. Complexity 32 835
[13] Zhang Y L, Wen G G, Peng Z X, Yu Y G and Rahmani A 2018 Trans. Institute of Measurement and Control 41 1313
[14] Han G S, Guan Z H, Li J, He D X and Zheng D F 2016 Nonlinear Dynamics 84 1771
[15] Fan M C, Zhang H T and Wang M M 2014 Commun. Nonlin. Sci. Numer. Simular. 19 3313
[16] Altafini C 2012 IEEE Trans. Automatic Control 58 935
[17] Hu J P and Zheng W X 2014 52nd IEEE Conference on Decision and Control, December 10-13, 2013, Florence, Italy, p. 3451
[18] Guo X, Liang J L and Lu J Q 2019 Int. J. Control Automation and Systems 17 1041
[19] Zheng H W and Chen J 2019 Int. J. Robust and Nonlinear Control 27 3
[20] He G, Liu J, Wu Y L and Fang J A 2020 Int. J. Control Automation and Systems 18 303
[21] Ma C Q and Qin Z Y 2016 IET Control Theory and Applications 10 2306
[22] Pan L L, Shao H B, Mesbahi M, Xi Y G and Li D W 2018 IEEE Trans. Circuits and Systems Ⅱ-Express Briefs 66 1441
[23] Wu Y Z, Zhao Y Y and Hu J P 2019 IEEE Trans. Systems Man Cybernetics-Systems 49 2189
[24] Ma C Q and Xie L H 20 IEEE Trans. Systems Man Cybernetics-Systems 50 1976

Consensus problems on networks with free protocol

Consensus problems on networks with free protocol

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ximing Wang(王希铭), Jinsheng Sun(孙金生), Zhitao Li(李志韬), and Zixing Wu(吴梓杏). Memory-augmented adaptive flocking control for multi-agent systems subject to uncertain external disturbances[J]. 中国物理B, 2022, 31(2): 20203-020203.
[2]	Zhi-Hai Wu(吴治海) and Lin-Bo Xie(谢林柏). Fault-tolerant finite-time dynamical consensus of double-integrator multi-agent systems with partial agents subject to synchronous self-sensing function failure[J]. 中国物理B, 2022, 31(12): 128902-128902.
[3]	高海云, 胡爱花, 沈莞蔷, 江正仙. Group consensus of multi-agent systems subjected to cyber-attacks[J]. 中国物理B, 2019, 28(6): 60501-060501.
[4]	邱小芬, 张银星, 李科赞. Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control[J]. 中国物理B, 2019, 28(5): 50501-050501.
[5]	莫立坡, 郭少岩, 于永光. Mean-square composite-rotating consensus of second-order systems with communication noises[J]. 中国物理B, 2018, 27(7): 70504-070504.
[6]	王金环, 许玉玲, 张建, 杨德东. Time-varying formation for general linear multi-agent systems via distributed event-triggered control under switching topologies[J]. 中国物理B, 2018, 27(4): 40504-040504.
[7]	Erfan Shahamatkhah,Mohammad Tabatabaei. Leader-following consensus of discrete-time fractional-order multi-agent systems[J]. 中国物理B, 2018, 27(1): 10701-010701.
[8]	张翔, 王金环, 杨德东, 徐勇. Tracking consensus for nonlinear heterogeneous multi-agent systems subject to unknown disturbances via sliding mode control[J]. 中国物理B, 2017, 26(7): 70501-070501.
[9]	陈亮名, 李传江, 孙延超, 马广富. Cooperative impulsive formation control for networked uncertain Euler-Lagrange systems with communication delays[J]. 中国物理B, 2017, 26(6): 68703-068703.
[10]	任红卫, 邓飞其. Stochastic bounded consensus of second-order multi-agent systems in noisy environment[J]. 中国物理B, 2017, 26(10): 100506-100506.
[11]	吴爽爽, 吴治海, 彭力, 谢林柏. Asymptotic bounded consensus tracking of double-integratormulti-agent systems with bounded-jerk target based onsampled-data without velocity measurements[J]. 中国物理B, 2017, 26(1): 18903-018903.
[12]	曹劼, 吴治海, 彭力. Distributed event-triggered consensus tracking of second-order multi-agent systems with a virtual leader[J]. 中国物理B, 2016, 25(5): 58902-058902.
[13]	王如生, 高利新, 陈文海, 戴大蒙. Consensus for second-order multi-agent systems with position sampled data[J]. 中国物理B, 2016, 25(10): 100202-100202.
[14]	刘伟, 柳爱利, 周绍磊. Distributed H_∞ control of multi-agent systems with directed networks[J]. 中国物理B, 2015, 24(9): 90208-090208.
[15]	周峰, 王正杰, 范宁军. Containment consensus with measurement noises and time-varying communication delays[J]. , 2015, 24(2): 20203-020203.