Consensus for second-order multi-agent systems with position sampled data

doi:10.1088/1674-1056/25/10/100202

中国物理B ›› 2016, Vol. 25 ›› Issue (10): 100202-100202.doi: 10.1088/1674-1056/25/10/100202

Consensus for second-order multi-agent systems with position sampled data

Rusheng Wang(王如生), Lixin Gao(高利新), Wenhai Chen(陈文海), Dameng Dai(戴大蒙)

1 Institute of Intelligent Systems and Decision, Wenzhou University, Wenzhou 325035, China;
2 College of Physics & Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

收稿日期:2016-02-16 修回日期:2016-04-28 出版日期:2016-10-05 发布日期:2016-10-05
通讯作者: Wenhai Chen E-mail:whchen@wzu.edu.cn
基金资助:
Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13F030005) and the National Natural Science Foundation of China (Grant No. 61501331).

Consensus for second-order multi-agent systems with position sampled data

Rusheng Wang(王如生)¹, Lixin Gao(高利新)¹, Wenhai Chen(陈文海)¹, Dameng Dai(戴大蒙)²

1 Institute of Intelligent Systems and Decision, Wenzhou University, Wenzhou 325035, China;
2 College of Physics & Electronic Information Engineering, Wenzhou University, Wenzhou 325035, China

Received:2016-02-16 Revised:2016-04-28 Online:2016-10-05 Published:2016-10-05
Contact: Wenhai Chen E-mail:whchen@wzu.edu.cn
Supported by:
Project supported by the Natural Science Foundation of Zhejiang Province, China (Grant No. LY13F030005) and the National Natural Science Foundation of China (Grant No. 61501331).

摘要/Abstract

摘要： In this paper, the consensus problem with position sampled data for second-order multi-agent systems is investigated. The interaction topology among the agents is depicted by a directed graph. The full-order and reduced-order observers with position sampled data are proposed, by which two kinds of sampled data-based consensus protocols are constructed. With the provided sampled protocols, the consensus convergence analysis of a continuous-time multi-agent system is equivalently transformed into that of a discrete-time system. Then, by using matrix theory and a sampled control analysis method, some sufficient and necessary consensus conditions based on the coupling parameters, spectrum of the Laplacian matrix and sampling period are obtained. While the sampling period tends to zero, our established necessary and sufficient conditions are degenerated to the continuous-time protocol case, which are consistent with the existing result for the continuous-time case. Finally, the effectiveness of our established results is illustrated by a simple simulation example.

关键词: multi-agent systems, distributed control, consensus, observer, sampled data

Abstract: In this paper, the consensus problem with position sampled data for second-order multi-agent systems is investigated. The interaction topology among the agents is depicted by a directed graph. The full-order and reduced-order observers with position sampled data are proposed, by which two kinds of sampled data-based consensus protocols are constructed. With the provided sampled protocols, the consensus convergence analysis of a continuous-time multi-agent system is equivalently transformed into that of a discrete-time system. Then, by using matrix theory and a sampled control analysis method, some sufficient and necessary consensus conditions based on the coupling parameters, spectrum of the Laplacian matrix and sampling period are obtained. While the sampling period tends to zero, our established necessary and sufficient conditions are degenerated to the continuous-time protocol case, which are consistent with the existing result for the continuous-time case. Finally, the effectiveness of our established results is illustrated by a simple simulation example.

Key words: multi-agent systems, distributed control, consensus, observer, sampled data

中图分类号: (Control theory)

02.30.Yy

05.45.Xt (Synchronization; coupled oscillators) 05.65.+b (Self-organized systems)

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.

Rusheng Wang(王如生), Lixin Gao(高利新), Wenhai Chen(陈文海), Dameng Dai(戴大蒙). Consensus for second-order multi-agent systems with position sampled data[J]. Chin. Phys. B, 2016, 25(10): 100202-100202.

参考文献 33

[1]	Ren W and Cao Y 2011 Distributed Coordination of Multi-agent Networks (London: Springer-Verlag)
[2]	Cao J F, Ling Z H, Yuan Y F and Cao C 2014 Chin. Phys. B 23 070509
[3]	Cavagna A, Giardina I, Ginelli F, Mora T, Piovani D, Tavarone R and Aleksandra M 2014 Phys. Rev. E 89 042707
[4]	Zhou F, Wang Z J and Fan N J 2015 Chin. Phys. B 24 020203
[5]	Bai L, Chen F and Lan W Y 2015 Chin. Phys. B 24 090206
[6]	Jadbabaie A, Lin J and Morse A S 2003 IEEE T. Automat. Control 48 988
[7]	Vicsek T, Czirok A, Jacob E B, Cohen I and Schochet O 1995 Phys. Rev. Lett. 75 1226
[8]	Hong Y, Hu J and Gao L 2006 Automatica 42 1177
[9]	Hu J and Hong Y 2007 Physica A 374 853
[10]	Yu W, Chen G and Cao M 2010 Automatica 46 1089
[11]	Gao L, Zhu X and Chen W 2012 Int. J. Control Autom. 10 931
[12]	Xu X, Chen S and Gao L 2015 Neurocomputing 256 297
[13]	Cao J, Wu Z and Peng L 2016 Chin. Phys. B 25 058902
[14]	Xiao F, Wang L and Chen T 2014 IEEE T. Automat. Control 59 756
[15]	Su H and Chen M. Z Q 2015 IET Control Theory A 9 399
[16]	Su H, Chen M. Z Q and Chen G 2015 Int. J. Robust Nonlin. 25 2375
[17]	Su H, Jia G and Chen M Z Q 2015 J. Franklin I. 352 3504
[18]	Hong Y and Wang X 2009 J. Syst. Sci. Complex. 22 722
[19]	Gao L, Tang Y, Chen W and Zhang H 2011 Kybernetika 47 773
[20]	Li Z, Duan Z, Chen G and Huang L 2010 IEEE T. Circuits-I 57 213
[21]	Zhang H, Lewis F L and Das A 2011 IEEE T. Automat. Control 56 1948
[22]	Gao L, Xu B, Li J and Zhang H 2015 IET Control Theory A. 9 784
[23]	Gao L, Cui Y, Xu X and Zhao Y 2015 J. Franklin I. 352 5173
[24]	Cao Y and Ren W 2010 Int. J. Control 83 506
[25]	Chen W and Li X 2014 Int. J. Robust Nonlin. 24 567
[26]	Liu H, Xie G and Wang L 2010 Int. J. Robust Nonlin. 20 1706
[27]	Yu W, Zhou L, Yu X, Liu J and Lu R 2011 Automatica 47 1496
[28]	Yu W, Zheng W, Chen G, Ren W and Cao J 2013 IEEE T. Ind. Inform. 9 2137
[29]	Gao Y and Wang L 2010 IET Control Theory A 4 945
[30]	Wang S and Xie D 2012 IET Control Theory A 6 893
[31]	Zhou B and Liao X 2014 Nonlinear Dynam. 78 555
[32]	Wen G, Duan Z, Yu W and Chen G 2013 Int. J. Robust Nonlin. 23 602
[33]	Park P C and Hahn V 1993 Stability Theory

Consensus for second-order multi-agent systems with position sampled data

Consensus for second-order multi-agent systems with position sampled data

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 33

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]	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.
[13]	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.
[14]	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.
[15]	江正仙, 崔宝同, 楼旭阳, 庄波. Improved control of distributed parameter systems using wireless sensor and actuator networks: An observer-based method[J]. 中国物理B, 2017, 26(4): 40201-040201.