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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (11): 110505-110505.doi: 10.1088/1674-1056/22/11/110505

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

李丽, 方华京

School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2013-05-06 修回日期:2013-05-31 出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60874053 and 61034006).

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

Li Li (李丽), Fang Hua-Jing (方华京)

School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2013-05-06 Revised:2013-05-31 Online:2013-09-28 Published:2013-09-28
Contact: Fang Hua-Jing E-mail:hjfang@mail.hust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60874053 and 61034006).

摘要/Abstract

摘要： 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.

关键词: second-order multi-agent systems, bounded consensus tracking, sampling delay, directed networks

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.

Key words: second-order multi-agent systems, bounded consensus tracking, sampling delay, directed networks

中图分类号: (Self-organized systems)

05.65.+b

02.30.Yy (Control theory) 02.10.Yn (Matrix theory)

李丽, 方华京. Bounded consensus tracking of second-order multi-agent systems with sampling delay under directed networks[J]. 中国物理B, 2013, 22(11): 110505-110505.

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[J]. Chin. Phys. B, 2013, 22(11): 110505-110505.

参考文献 30

[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)

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

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

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 30

相关文章 7

Metrics

本文评价

推荐阅读 0

[1]	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.
[2]	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.
[3]	王娜, 吴治海, 彭力. Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay[J]. , 2014, 23(10): 108901-108901.
[4]	吴治海, 彭力, 谢林柏, 闻继伟. Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled data with general sampling delay[J]. Chin. Phys. B, 2013, 22(12): 128901-128901.
[5]	吴治海, 彭力, 谢林柏, 闻继伟. Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises and sampled-data[J]. Chin. Phys. B, 2012, 21(12): 128902-128902.
[6]	张文广, 曾德良, 郭振凯. H_∞ consensus control of a class of second-order multi-agent systems without relative velocity measurement[J]. 中国物理B, 2010, 19(7): 70518-070518.
[7]	路晓庆, Francis Austin, 陈士华. Cluster consensus of second-order multi-agent systems via pinning control[J]. 中国物理B, 2010, 19(12): 120506-120506.