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Coupled consensus problem of multiple autonomous agents with communication delay and input delay is investigated. Based on the frequency-domain analysis,sufficient conditions for the first-order and second-order agents are obtained respectively. The conditions are dependent on the input delay,the communication delay and the control parameters. Simulations illustrate the correctness of the results.
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Keywords:
- coupled autonomous agents /
- input delay /
- communication delay /
- consensus
[1] Olfati-Saber R, Murray R 2004 Autom. Control 49 1520
[2] Li Y M, Guan X P 2009 Chin. Phys. B 18 3355
[3] Tan F X, Guan X P 2008 Chin. Phys. B 17 3531
[4] Sun Y Z, Ruan J 2008 Chin. Phys. B 17 4137
[5] Hu J P, Yuan H W 2009 Chin. Phys. B 18 3777
[6] Qi W, Xu X J, Wang Y H 2009 Chin. Phys. B 18 4217
[7] Ren W, Atkins E 2007 Int. J. Robust Nonlinear Control 17 1002
[8] Hong Y, Gao L, Cheng D, Hu J 2007 Autom. Control 52 943
[9] Zhang C X, Li H, Lin P 2008 Chin. Phys. B 17 4458
[10] Chen D L, Zhang W D 2008 Chin. Phys. B 17 1506
[11] Liu T L, Huang H J 2007 Acta. Phys. Sin. 56 6321 (in Chinese) [刘天亮、黄海军 2007 物理学报 56 6321]
[12] Sun Y G, Wang L 2009 Autom. Control 54 1607
[13] Bliman P A, Ferrari-Trecate G 2008 Automatica 44 1985
[14] Lin P, Jia Y, Du J, Yuan S 2007 Proceedings of the 26th Chinese Control Conference Zhangjiajie, China, July 26—31, 2007 p577
[15] Hu J, Hong Y 2007 Physica A 374 853
[16] Su H, Wang X 2008 Proceedings of the 7th World Congress on Intelligent Control and Automation Chongqing, China, June 25—27, 2008 p7181
[17] Li H, Lin P, Zhang C X 2009 Acta. Phys. Sin. 58 158 (in Chinese) [李 慧、林 鹏、张春熹 2009 物理学报 58 158]
[18] Wang W, Slotine J J E 2006 Autom. Control 51 712
[19] Cao M, Morse A S, Anderson B D O 2006 Proceedings of the 45th IEEE Conference on Decision and Control San Diego, USA, December 13—15, 2006 p3375
[20] Wang L, Xiao F 2006 Proceedings of the 2006 American Control Conference Minneapolis, USA, June 14—16, 2006 p2118
[21] Blondel V D, Hendrickx J M, Olshevsky A, Tsitsiklis J N 2005 Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 Seville, Spain, December 12—15, 2005 p2996
[22] Wang J, Elia N 2008 Proceedings of the 2008 American Control Conference Seatle, USA, June 11—13, 2008 p2637
[23] Lee D J, Spong M K 2006 Proceedings of the 2006 American Control Conference Minneapolis, USA, June 14—16, 2006 p756
[24] Chopra N, Spong M W 2006 Advances in Robot Control:From Everyday Physics to Human-Like Movements (New York:Springer Berlin Heigedlberg) p107
[25] Yang W, Bertozzi A L, Wang X F 2008 Proceedings of the 47th IEEE Conference on Decision and Control Cancun, Mexico, December 9—11, 2008 p2926
[26] Lin P, Jia Y 2009 Automatica 45 2154
[27] Tian Y P, Liu C L 2008 Autom. Control 53 2122
[28] Tian Y P, Liu C L 2009 Automatica 45 1374
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[1] Olfati-Saber R, Murray R 2004 Autom. Control 49 1520
[2] Li Y M, Guan X P 2009 Chin. Phys. B 18 3355
[3] Tan F X, Guan X P 2008 Chin. Phys. B 17 3531
[4] Sun Y Z, Ruan J 2008 Chin. Phys. B 17 4137
[5] Hu J P, Yuan H W 2009 Chin. Phys. B 18 3777
[6] Qi W, Xu X J, Wang Y H 2009 Chin. Phys. B 18 4217
[7] Ren W, Atkins E 2007 Int. J. Robust Nonlinear Control 17 1002
[8] Hong Y, Gao L, Cheng D, Hu J 2007 Autom. Control 52 943
[9] Zhang C X, Li H, Lin P 2008 Chin. Phys. B 17 4458
[10] Chen D L, Zhang W D 2008 Chin. Phys. B 17 1506
[11] Liu T L, Huang H J 2007 Acta. Phys. Sin. 56 6321 (in Chinese) [刘天亮、黄海军 2007 物理学报 56 6321]
[12] Sun Y G, Wang L 2009 Autom. Control 54 1607
[13] Bliman P A, Ferrari-Trecate G 2008 Automatica 44 1985
[14] Lin P, Jia Y, Du J, Yuan S 2007 Proceedings of the 26th Chinese Control Conference Zhangjiajie, China, July 26—31, 2007 p577
[15] Hu J, Hong Y 2007 Physica A 374 853
[16] Su H, Wang X 2008 Proceedings of the 7th World Congress on Intelligent Control and Automation Chongqing, China, June 25—27, 2008 p7181
[17] Li H, Lin P, Zhang C X 2009 Acta. Phys. Sin. 58 158 (in Chinese) [李 慧、林 鹏、张春熹 2009 物理学报 58 158]
[18] Wang W, Slotine J J E 2006 Autom. Control 51 712
[19] Cao M, Morse A S, Anderson B D O 2006 Proceedings of the 45th IEEE Conference on Decision and Control San Diego, USA, December 13—15, 2006 p3375
[20] Wang L, Xiao F 2006 Proceedings of the 2006 American Control Conference Minneapolis, USA, June 14—16, 2006 p2118
[21] Blondel V D, Hendrickx J M, Olshevsky A, Tsitsiklis J N 2005 Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference 2005 Seville, Spain, December 12—15, 2005 p2996
[22] Wang J, Elia N 2008 Proceedings of the 2008 American Control Conference Seatle, USA, June 11—13, 2008 p2637
[23] Lee D J, Spong M K 2006 Proceedings of the 2006 American Control Conference Minneapolis, USA, June 14—16, 2006 p756
[24] Chopra N, Spong M W 2006 Advances in Robot Control:From Everyday Physics to Human-Like Movements (New York:Springer Berlin Heigedlberg) p107
[25] Yang W, Bertozzi A L, Wang X F 2008 Proceedings of the 47th IEEE Conference on Decision and Control Cancun, Mexico, December 9—11, 2008 p2926
[26] Lin P, Jia Y 2009 Automatica 45 2154
[27] Tian Y P, Liu C L 2008 Autom. Control 53 2122
[28] Tian Y P, Liu C L 2009 Automatica 45 1374
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