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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 950Control of 2D Minimally Persistent Formations with...

Control of 2D Minimally Persistent Formations with the Fault Tolerance of Three Co-Leaders in Cycle

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Abstract:

This paper mainly addresses a novel control law with rigidity matrix based on three co-leaders minimally persistent formations in the plane. This control law particularly considers the fault tolerance of the leaders, and in this way, the three co-leaders model is better than leader-first follower model, leader-remote follower model, etc. in persistent formation. Firstly, the first order kinematic model is adopted for every agent. Then the fundamental moving principal of the leaders and the followers are described in detail. On the basis of these principals, the control law with the rigidity matrix for the whole formation is proposed. Moreover, the stability analysis is also supplied. Finally, simulations show that the proposed controllers ensure the group formation stabilized to maintain the rigid shape, while the distances between the agents remain unchanged.

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Materials, Mechatronics and Automation IV

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Periodical:

Advanced Materials Research (Volume 950)

Pages:

245-252

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.950.245

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Online since:

June 2014

Authors:

Hu Cao*, Qiang Qu, Xiao Kun Ying, Yang Liu, Zhen Su, Tao Ma, Hong Li, Bo Qing Xu, Rui Ying Zhao, Ying Li Liu, Yi Jian Zhang, Ying Xing

Keywords:

Co-Leaders, Control, Fault Tolerance, Persistent Formation, Rigid

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Cao, Y, Bai,J. Chen and H. Fang: Control of 2D minimally persistent formations with three co-leaders in a cycle. International Journal of Advanced Robotic Systems. vol. 10(21) (2013), pp.1-7.

DOI: 10.5772/54494

[2] H. Cao, Y, Bai and H. Liu: Distributed rigid formation control algorithm for multi-agent systems. Kybernetes. vol. 41(10)(2013), pp.1650-1661.

DOI: 10.1108/03684921211276819

[3] R. Olfati-Saber andR. Murray: Distributed cooperative control of multiple vehicle formations using structural potential functions. Proc. of 15th IFAC World Congress (2002).

DOI: 10.3182/20020721-6-es-1901.00244

[4] R. Olfati-Saber, W. Dunbar and R. Murray: Cooperative control of multi-vehicle systems using cost graphs and optimization. Proc. of American Control Conference (2003), pp.2217-2222.

DOI: 10.1109/acc.2003.1243403

[5] H. G. Tanner, A. Jadbabaie and G. J. Pappas: Stable flocking of mobile agents, part I: fixed topology. Proc. of 42nd IEEE Conference on Decision and Control (2003), p.2010-(2015).

DOI: 10.1109/cdc.2003.1272910

[6] H. G. Tanner, A. Jadbabaie and G. J. Pappas: Stable flocking of mobile agents part II: dynamic topology. Proc. of 42nd IEEE Conference on Decision and Control (2003), p.2016-(2021).

DOI: 10.1109/cdc.2003.1272911

[7] N. Sorensen and R. Wei: A unified formation control scheme with a single or multiple leaders. Proc. of American Control Conference. ACC '07 (2007), pp.5412-5418.

DOI: 10.1109/acc.2007.4283094

[8] L. Krick, M. E. Broucke and B. A. Francis: Stabilization of infinitesimally rigid formations of multi-robot networks. Proc. of 47th IEEE Conference on Decision and Control (2008), pp.477-482.

DOI: 10.1109/cdc.2008.4738760

[9] V. Tran andS. Lee: A stable formation control using approximation of translational and angular accelerations. International Journal of Advanced Robotic Systems. vol. 8(1) (2001), pp.65-75.

DOI: 10.5772/10530

[10] L. Jiang andR. Zhang: Stable formation control of multi-robot system with communication delay. International Journal of Advanced Robotic Systems. vol. 9(4) (2012).

DOI: 10.5772/45603

[11] T. Eren, B. D. O . Anderson and A. S. Morse: Operations on rigid formations of autonomous agents. Communications in Information and Systems. vol. 4(3)(2004), pp.209-219.

[12] L. Krick, M. E. Broucke and B. A. Francis: Stabilization of infinitesimally rigid formations of multi-robot networks. Proc. of 47th IEEE Conference on Decision and Control (2008), pp.477-482.

DOI: 10.1109/cdc.2008.4738760

[13] T. Tay and W. Whiteley: Generating isostatic frameworks. Structural Topology. vol. 11 (1985), pp.21-69.

[14] J. M. Hendrickx, B. D. O. Anderson and V. D. Blondel: Rigidity and persistence of directed graphs. Proc. of 44th IEEE Conference on Decision and Control and 2005 European Control Conference (2005), pp.2176-2181.

DOI: 10.1109/cdc.2005.1582484

[15] J. M. Hendrickx, B. D. O. Anderson andJ. Delvenne: Directed graphs for the analysis of rigidity and persistence in autonomous agent systems. International Journal Of Robust And Nonlinear Control. vol. 17(10-11) (2011), pp.960-981.

DOI: 10.1002/rnc.1145

[16] J. M, Hendrickx,B. Fidana and C. Yu: Formation reorganization by primitive operations on directed graphs. IEEE Transactions onAutomatic Control. vol. 53(4) (2008), pp.968-979.

DOI: 10.1109/tac.2008.920239

[17] C. Yu, B. D. O. Anderson andS. Dasgupta: Control of minimally persistent formations in the plane. Siam Journal On Control And Optimization. vol. 48(1)(2009), pp.206-233.

DOI: 10.1137/060678592

[18] P. Tabuada, G. J. Pappas andP. Lima: Cyclic directed formations of multi-agent systems. Proc. of 40th IEEE Conference on Decision and Control (2001), pp.56-61.

DOI: 10.23919/ecc.2001.7075963

[19] J. Baillieul and A. Suri: Information patterns and hedging brockett's theorem controlling vehicle formations. Proc. of 42nd IEEE Conference on Decision and Control (2003), pp.556-563.

DOI: 10.1109/cdc.2003.1272622

[20] C. Yu, B. D. O. Anderson: Development of redundant rigidity theory for formation control. International Journal of Robust and Nonlinear Control. vol. 19 (13) (2009), p.1427–1446.

DOI: 10.1002/rnc.1386

[21] B. Fidan, J. M. Hendricks andB. D. O. Anderson: Closing ranks in rigid multi-agent formations using edge contractions. International Journal of Robust and Nonlinear Control. vol. 20(18) (2010), p.2077–(2092).

DOI: 10.1002/rnc.1570

[22] M. Cao,A. S. Morse, C. Yu, B. D. O. Anderson and S. Dasgupta: Maintaining a directed, triangular formation of mobile autonomous agents. Communications in Information and Systems (special issue honoring John Bailleul). vol. 11(1) (2011), pp.1-16.

DOI: 10.4310/cis.2011.v11.n1.a1

[23] S. A. Motevallian,C. Yu, and B. D. O. Anderson: Multi-agent rigid formations: a study of robustness to the loss of multiple agents. Proc of IEEE Conference on Decision and Control and European Control Conference (2011), p.3602–3607.

DOI: 10.1109/cdc.2011.6161049

[24] J. A. Marshall, M. E. Broucke andB. A. Francis: Formations of vehicles in cyclic pursuit., IEEE Transactions on Automatic Control. vol. 49(11) (2004), p.1963-(1974).

DOI: 10.1109/tac.2004.837589

[25] B. D. O. Anderson,C. Yu andS. Dasgupta: Control of a three-coleader formation in the plane. Systems & Control Letters. vol. 56(9-10) (2007), pp.573-578.

DOI: 10.1016/j.sysconle.2007.04.004