Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay

doi:10.1088/1674-1056/23/10/108901

›› 2014, Vol. 23 ›› Issue (10): 108901-108901.doi: 10.1088/1674-1056/23/10/108901

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay

王娜, 吴治海, 彭力

Key Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China

收稿日期:2014-01-12 修回日期:2014-04-15 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61203147, 61374047, 61203126, and 61104092) and the Humanities and Social Sciences Youth Funds of the Ministry of Education, China (Grant No. 12YJCZH218).

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)

Key Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, China

Received:2014-01-12 Revised:2014-04-15 Online:2014-10-15 Published:2014-10-15
Contact: Wu Zhi-Hai E-mail:wuzhihai@jiangnan.edu.cn
About author:89.75.-k; 05.65.+b; 02.30.Yy
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61203147, 61374047, 61203126, and 61104092) and the Humanities and Social Sciences Youth Funds of the Ministry of Education, China (Grant No. 12YJCZH218).

摘要/Abstract

摘要： In this paper, consensus problems of heterogeneous multi-agent systems based on sampled data with a small sampling delay are considered. First, a consensus protocol based on sampled data with a small sampling delay for heterogeneous multi-agent systems is proposed. Then, the algebra graph theory, the matrix method, the stability theory of linear systems, and some other techniques are employed to derive the necessary and sufficient conditions guaranteeing heterogeneous multi-agent systems to asymptotically achieve the stationary consensus. Finally, simulations are performed to demonstrate the correctness of the theoretical results.

关键词: heterogeneous multi-agent systems, consensus, sampled-data, small sampling delay

Abstract: In this paper, consensus problems of heterogeneous multi-agent systems based on sampled data with a small sampling delay are considered. First, a consensus protocol based on sampled data with a small sampling delay for heterogeneous multi-agent systems is proposed. Then, the algebra graph theory, the matrix method, the stability theory of linear systems, and some other techniques are employed to derive the necessary and sufficient conditions guaranteeing heterogeneous multi-agent systems to asymptotically achieve the stationary consensus. Finally, simulations are performed to demonstrate the correctness of the theoretical results.

Key words: heterogeneous multi-agent systems, consensus, sampled-data, small sampling delay

中图分类号: (Complex systems)

89.75.-k

05.65.+b (Self-organized systems) 02.30.Yy (Control theory)

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.

Wang Na (王娜), Wu Zhi-Hai (吴治海), Peng Li (彭力). Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay[J]. Chin. Phys. B, 2014, 23(10): 108901-108901.

参考文献 0


[1]	Su H S, Wang X F and Lin Z L 2009 IEEE Trans. Autom. Control 54 293 doi: 10.1109/TAC.2008.2010897

[2]	Su H S, Chen M Z Q, Wang X F, Chen G R and Wang H W 2013 IEEE Trans. Cybern. 43 394 doi: 10.1109/TSMCB.2012.2202647

[3]	Vicsek T, Czirok A, Jacob E B, Cohen I and Shochet O 1995 Phys. Rev. Lett. 75 1226 doi: 10.1103/PhysRevLett.75.1226

[4]	Sun Y Z and Ruan J 2008 Chin. Phys. Lett. 25 3493 doi: 10.1088/0256-307X/25/9/107

[5]	Wu Z H, Peng L, Xie L B and Wen J W 2012 Chin. Phys. B 21 128902

[6]	Sun Y Z and Ruan J 2008 Chin. Phys. B 17 4137

[7]	Bertsekas D P and Tsitsiklis J N 2007 IEEE Trans. Autom. Control 52 968 doi: 10.1109/TAC.2007.895885

[8]	Cao M, Morse A S and Anderson B D O 2008 SIAM J. Control Optim. 47 575 doi: 10.1137/060657005

[9]	Cao M, Morse A S and Anderson B D O 2008 SIAM J. Control Optim. 47 601 doi: 10.1137/060657029

[10]	Xiao F and Wang L 2008 IEEE Trans. Autom. Control 53 1804 doi: 10.1109/TAC.2008.929381

[11]	Tian Y P and Liu C L 2008 IEEE Trans. Autom. Control 53 2122 doi: 10.1109/TAC.2008.930184

[12]	Tian Y P and Liu C L 2009 Automatica 45 1347 doi: 10.1016/j.automatica.2009.01.009

[13]	Zhang W G, Liu J Z, Zeng D L and Hu Y 2013 Chin. Phys. B 22 050511

[14]	Park M J, Kwon O M, Park J H, Lee S M and Cha E J 2012 Chin. Phys. B 21 110508

[15]	Gao L X, Zhang J J and Chen W H 2012 Math. Prob. Eng. 2012 273140

[16]	Gao L X, Yan H J and Jin D 2010 Chin. Phys. B 19 050520

[17]	Zhang W G, Zeng D L and Guo Z K 2010 Chin. Phys. B 19 070518

[18]	Li J Z 2011 Chin. Phys. B 20 020512

[19]	Hong Y G, Chen G and Bushnell L 2008 Automatica 44 846 doi: 10.1016/j.automatica.2007.07.004

[20]	Wu Z H, Fang H J and She Y Y 2012 IEEE Trans. Syst., Man, Cybern. B: Cybern. 42 1501 doi: 10.1109/TSMCB.2012.2189384

[21]	Su H S, Chen G R, Wang X F and Lin Z L 2011 Automatica 47 368 doi: 10.1016/j.automatica.2010.10.050

[22]	Xiao F and Wang L 2007 IET Control Theory Appl. 1 830 doi: 10.1049/iet-cta:20060014

[23]	Jiang F C, Wang L and Xie G M 2010 J Control Theory Appl. 8 52 doi: 10.1007/s11768-010-9184-x

[24]	He W and Cao J 2011 IET Control Theory Appl. 5 231 doi: 10.1049/iet-cta.2009.0191

[25]	Yang T, Jin Y, Wang W and Shi Y 2011 Chin. Phys. B 20 020512

[26]	Liu C L and Liu F 2011 Automatica 47 2130 doi: 10.1016/j.automatica.2011.06.005

[27]	Zheng Y, Zhu Y and Wang L 2011 IET Control Theory Appl. 5 1881 doi: 10.1049/iet-cta.2011.0033

[28]	Lee D J and Spong M W 2006 Proc. Am. Control Conference, June 14-16, 2006, Minneapolis, Minnesota, p. 756

[29]	Zheng Y S and Wang L 2012 Int. J. Control 85 906 doi: 10.1080/00207179.2012.669048

[30]	Zheng Y S and Wang L 2012 Syst. Control Lett. 61 871 doi: 10.1016/j.sysconle.2012.05.009

[31]	Tian Y P 2011 Proc. Asian Control Conference, May 15-18, 2011, Kaohsiung, China, p. 341

[32]	Yan J, Guan X P and Luo X Y 2011 Chin. Phys. B 20 048901

[33]	Wu Z H, Peng L, Xie L B and Wen J W 2013 Physica A 392 918 doi: 10.1016/j.physa.2012.10.040

[34]	Wu Z H, Peng L, Xie L B and Wen J W 2014 Int. J. Control, Autom. Syst. 12 44 doi: 10.1007/s12555-012-0146-6

[35]	Horn R A and Jornson C R 1985 Matrix Analysis (New York: Cambridge University)

[36]	Kovacs I, Silver D S and Williams S G 1999 Am. Math. Monthly 106 950 doi: 10.2307/2589750

[37]	Horn R A and Jornson C R 1991 Topics in Matrix Analysis (Cambridge: Cambridge University Press)

[38]	Ren W and Cao Y C 2008 Proc. IEEE Conf. Decision and Control, December 9-11, 2008, Cancun, Mexico, p. 3965

Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay

Consensus of heterogeneous multi-agent systems based on sampled data with a small sampling delay

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