Bounded consensus tracking of second-order multi-agent systems with sampling delay under directed networks

doi:10.1088/1674-1056/22/11/110505

Abstract The bounded consensus tracking problems of second-order multi-agent systems under directed networks with sampling delay are addressed in this paper. When the sampling delay is more than a sampling period, new protocols based on sampled-data control are proposed so that each agent can track the time-varying reference state of the virtual leader. By using the delay decomposition approach, the augmented matrix method, and the frequency domain analysis, necessary and sufficient conditions are obtained, which guarantee that the bounded consensus tracking is realized. Furthermore, some numerical simulations are presented to demonstrate the effectiveness of the theoretical results.

Keywords: second-order multi-agent systems bounded consensus tracking sampling delay directed networks

Received: 06 May 2013
Revised: 31 May 2013
Accepted manuscript online:

PACS:	05.65.+b	(Self-organized systems)
	02.30.Yy	(Control theory)
	02.10.Yn	(Matrix theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60874053 and 61034006).

Corresponding Authors: Fang Hua-Jing
E-mail: hjfang@mail.hust.edu.cn

Cite this article:

Li Li (李丽), Fang Hua-Jing (方华京) Bounded consensus tracking of second-order multi-agent systems with sampling delay under directed networks 2013 Chin. Phys. B 22 110505

[1]	Olfati-Saber R and Murray R M 2004 IEEE Trans. Automat. Control 49 1520
[2]	Moreau L 2005 IEEE Trans. Automat. Control 50 169
[3]	Wang L and Xiao F 2010 IEEE Trans. Automat. Control 55 950
[4]	Shang Y 2012 Int. J. Syst. Sci. 43 499
[5]	Fang L and Antsaklis P J 2005 Proceedings of American Control Conference, June 8–10, 2005 OR, Portland, pp. 1883–1888
[6]	Xiao F and Wang L 2008 IEEE Trans. Automat. Control 53 1804
[7]	Xiao F and Wang L 2006 Int. J. Control 79 1277
[8]	Ji L H and Liao X F 2013 Chin. Phys. B 22 040203
[9]	Gao L X, Yan H J and Jin D 2010 Chin. Phys. B 19 050520
[10]	Liu C L and Liu F 2010 Proceedings of Chinese Control and Decision Conference, May 26–28, 2010 Xuzhou, China, pp. 739–744
[11]	Li J Z 2011 Chin. Phys. B 20 020512
[12]	Park M J, Kwon O M, Park J H, Lee S M and Cha E J 2012 Chin. Phys. B 21 110508
[13]	Ren W 2007 Syst. Control Lett. 56 474
[14]	Liu B, Chu T, Wang L and Xie G 2008 IEEE Trans. Automat. Control 53 1009
[15]	Hong Y, Chen G and Bushnell L 2008 Automatica 44 846
[16]	Gustavi T, Dimarogonas D V, Egerstedt M and Hu X 2010 Automatica 46 133
[17]	Yu W W, Zheng W X, Chen G R, Ren W and Cao J D 2011 Automatica 47 1496
[18]	Guan Z H, Liu Z W, Feng G and Jian M 2012 Automatica 48 1397
[19]	Liu H Y, Xie G M and Wang L 2010 Int. J. Robust Nonlinear Control 20 1706
[20]	Gao Y P, Wang L, Xie G M and Wu B 2009 Int. J. Control 82 2193
[21]	Gao Y P and Wang L 2010 IET Control Theory and Applications 4 945
[22]	Li T and Zhang J F 2007 Proceedings of the 26th Chinese Control Conference, July 26–31, 2007 Hunan, China, pp. 716–720
[23]	Xie G M, Liu H Y, Wang L and Jia Y M 2009 Proceeding of American Control Conference, June 10–12, 2009 St. Louis, MO, USA, pp. 3902–3907
[24]	Xie G M, Liu H Y, Wang L and Jia Y M 2009 Proceeding of American Control Conference, June 10–12, 2009 St. Louis, MO, USA, pp. 4525–4530
[25]	Horn R and Johnson C 1985 Matrix Analysis (New York: Cambridge University Press)
[26]	Ogata K 1995 Discrete-Time Control Systems (New Jersey: Prentice Hall Press)
[27]	Hu J and Hong Y 2007 Physica A 374 853
[28]	Ren W and Atkins E 2007 Int. J. Robust Nonlinear Control 17 1002
[29]	Ren W 2007 IET Control Theory and Applications 1 505
[30]	Franklin G, Powell J and Workman M L 1997 Digital Control of Dynamic Systems (MA USA: Addison-Wesley Longman Press)

[1]	Asymptotic bounded consensus tracking of double-integratormulti-agent systems with bounded-jerk target based onsampled-data without velocity measurements Shuang-Shuang Wu(吴爽爽), Zhi-Hai Wu(吴治海), Li Peng(彭力), Lin-Bo Xie(谢林柏). Chin. Phys. B, 2017, 26(1): 018903.
[2]	Distributed event-triggered consensus tracking of second-order multi-agent systems with a virtual leader Jie Cao(曹劼), Zhi-Hai Wu(吴治海), Li Peng(彭力). Chin. Phys. B, 2016, 25(5): 058902.
[3]	Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay Wang Na (王娜), Wu Zhi-Hai (吴治海), Peng Li (彭力). Chin. Phys. B, 2014, 23(10): 108901.
[4]	Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with general sampling delay Wu Zhi-Hai (吴治海), Peng Li (彭力), Xie Lin-Bo (谢林柏), Wen Ji-Wei (闻继伟). Chin. Phys. B, 2013, 22(12): 128901.
[5]	Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises and sampled-data Wu Zhi-Hai (吴治海), Peng Li (彭力), Xie Lin-Bo (谢林柏), Wen Ji-Wei (闻继伟). Chin. Phys. B, 2012, 21(12): 128902.
[6]	H_$\infty$ consensus control of a class of second-order multi-agent systems without relative velocity measurement Zhang Wen-Guang (张文广), Zeng De-Liang (曾德良), Guo Zhen-Kai (郭振凯). Chin. Phys. B, 2010, 19(7): 070518.
[7]	Cluster consensus of second-order multi-agent systems via pinning control Lu Xiao-Qing(路晓庆), Francis Austin, and Chen Shi-Hua(陈士华). Chin. Phys. B, 2010, 19(12): 120506.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Bounded consensus tracking of second-order multi-agent systems with sampling delay under directed networks

Cite this article:

Online attention