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Chin. Phys. B, 2016, Vol. 25(10): 100202    DOI: 10.1088/1674-1056/25/10/100202
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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
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.
Keywords:  multi-agent systems      distributed control      consensus      observer      sampled data  
Received:  16 February 2016      Revised:  28 April 2016      Published:  05 October 2016
PACS:  02.30.Yy (Control theory)  
  05.45.Xt (Synchronization; coupled oscillators)  
  05.65.+b (Self-organized systems)  
Fund: 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).
Corresponding Authors:  Wenhai Chen     E-mail:  whchen@wzu.edu.cn

Cite this article: 

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 2016 Chin. Phys. B 25 100202

[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
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