Consensus of second-order multi-agent systems with nonuniform time delays

doi:10.1088/1674-1056/22/5/050511

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 50511-050511.doi: 10.1088/1674-1056/22/5/050511

Consensus of second-order multi-agent systems with nonuniform time delays

张文广^{a b}, 刘吉臻^a, 曾德良^a, 胡勇^b

a State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China;
b School of Control & Computer Engineering, North China Electric Power University, Beijing 102206, China

收稿日期:2012-08-08 修回日期:2012-10-08 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2012CB215203), the Key Program of the National Natural Science Foundation of China (Grant No. 51036002), and the Fundamental Research Funds for the Central Universities of China (Grant No. JB2012008).

Consensus of second-order multi-agent systems with nonuniform time delays

Zhang Wen-Guang (张文广)^{a b}, Liu Ji-Zhen (刘吉臻)^a, Zeng De-Liang (曾德良)^a, Hu Yong (胡勇)^b

a State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing 102206, China;
b School of Control & Computer Engineering, North China Electric Power University, Beijing 102206, China

Received:2012-08-08 Revised:2012-10-08 Online:2013-04-01 Published:2013-04-01
Contact: Zhang Wen-Guang E-mail:zwgbuaa@126.com
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2012CB215203), the Key Program of the National Natural Science Foundation of China (Grant No. 51036002), and the Fundamental Research Funds for the Central Universities of China (Grant No. JB2012008).

摘要/Abstract

摘要： In this study, the consensus problem for a class of second-order multi-agent systems with nonuniform time delays is investigated. A linear consensus protocol is used to make all agents reach consensus and move with a constant velocity. By a frequency-domain analysis, a simplified sufficient condition is given to guarantee the consensus stability of the dynamic system. Finally, the effectiveness of the obtained theoretical results is illustrated through numerical simulations.

关键词: consensus, nonuniform time delay, multi-agent system, constant velocity

Abstract: In this study, the consensus problem for a class of second-order multi-agent systems with nonuniform time delays is investigated. A linear consensus protocol is used to make all agents reach consensus and move with a constant velocity. By a frequency-domain analysis, a simplified sufficient condition is given to guarantee the consensus stability of the dynamic system. Finally, the effectiveness of the obtained theoretical results is illustrated through numerical simulations.

Key words: consensus, nonuniform time delay, multi-agent system, constant velocity

中图分类号: (Self-organized systems)

05.65.+b

02.10.Yn (Matrix theory) 87.10.-e (General theory and mathematical aspects)

张文广, 刘吉臻, 曾德良, 胡勇. Consensus of second-order multi-agent systems with nonuniform time delays[J]. 中国物理B, 2013, 22(5): 50511-050511.

Zhang Wen-Guang (张文广), Liu Ji-Zhen (刘吉臻), Zeng De-Liang (曾德良), Hu Yong (胡勇). Consensus of second-order multi-agent systems with nonuniform time delays[J]. Chin. Phys. B, 2013, 22(5): 50511-050511.

参考文献 21

[1]	Jadbabaie A, Lin J and Morse A S 2003 IEEE Trans. Automatic Control 48 988
[2]	Vicsek T, Cziroók A, Ben-Jacob E, Cohen O and Shochet I 1995 Phys. Rev. Lett. 75 1226
[3]	Hong Y, Gao L, Cheng D and Hu J 2007 IEEE Trans. Automatic Control 52 943
[4]	Hong Y, Chen G and Bushnell L 2008 Automatica 44 846
[5]	Liu B, Chu T, Wang L and Xie G 2008 IEEE Trans. Automatic Control 53 1009
[6]	Liu H, Xie G and Wang L 2010 Proceedings of the 49th IEEE Conference on Decision and Control 3078
[7]	Zhang W, Zeng D and Guo Z 2010 Chin. Phys. B 19 070518
[8]	Yang T, Jin Y, Wang W and Shi Y 2011 Chin. Phys. B 20 020512
[9]	Ren W and Beard R W 2005 IEEE Trans. Automatic Control 50 655
[10]	Ren W and Atkins E 2007 Inter. J. Robust Nonlinear Control 17 1002
[11]	Lin P, Jia Y, Du J and Yu F 2007 Proceedings of the 26th Chinese Control Conference 577
[12]	Bliman P and Ferrari-Trecate G 2008 Automatica 44 1985
[13]	Tian Y and Liu C 2008 IEEE Trans. Automatic Control 53 2122
[14]	Tian Y and Liu C 2009 Automatica 45 1347
[15]	Liu C and Tian Y 2009 Inter. J. Syst. Sci. 40 627
[16]	Lin P and Jia Y 2009 IET Control Theory and Applications 3 957
[17]	Lin P and Jia Y 2009 Automatica 45 2154
[18]	Sun Y, Wang L and Xie G 2008 Syst. Control Lett. 157 175
[19]	Lin P, Jia Y and Li L 2008 Syst. Control Lett. 57 643
[20]	Lin P and Jia Y 2010 IEEE Trans. Automatic Control 55 778
[21]	Godsil C and Royle G 2001 Algebraic Graph Theory (New York: Springer-Verlag)

Consensus of second-order multi-agent systems with nonuniform time delays

Consensus of second-order multi-agent systems with nonuniform time delays

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 21

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]	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.
[4]	陈侠, 尹立远, 刘永泰, 刘皓. Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks[J]. 中国物理B, 2019, 28(9): 90701-090701.
[5]	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.
[6]	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.
[7]	张潆文, 王金环, 徐勇, 杨德东. Energy-optimal problem of multiple nonholonomic wheeled mobile robots via distributed event-triggered optimization algorithm[J]. 中国物理B, 2019, 28(3): 30501-030501.
[8]	方木云, 周灿灿, 黄鑫, 李晓, 周建平. H_∞ couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies[J]. 中国物理B, 2019, 28(1): 10703-010703.
[9]	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.
[10]	吴梓杏, 孙金生, 王希铭. Distance-based formation tracking control of multi-agent systems with double-integrator dynamics[J]. 中国物理B, 2018, 27(6): 60202-060202.
[11]	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.
[12]	王国强, 罗贺, 胡笑旋. Generation of optimal persistent formations for heterogeneous multi-agent systems with a leader constraint[J]. 中国物理B, 2018, 27(2): 28901-028901.
[13]	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.
[14]	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.
[15]	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.