Coordination of multiple agents with double-integrator dynamics under generalized interaction topologies

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Volumn 42, Issue 1, 2012, Pages 44-57

  Qin, Jiahu ^a,b,c   Zheng, Wei Xing ^c   Gao, Huijun ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

Consensus strategy; double integrator dynamics; dynamic topology; graph theory; multiple agents

Indexed keywords

CONSENSUS ALGORITHMS; CONSENSUS STRATEGY; DYNAMIC TOPOLOGY; GENERALIZED INTERACTIONS; MULTIPLE AGENTS; NUMERICAL EXAMPLE; SUFFICIENT CONDITIONS; VELOCITY INFORMATION;

GRAPH THEORY;

DYNAMICS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; COMPUTER SIMULATION; DECISION SUPPORT SYSTEM; METHODOLOGY; THEORETICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DECISION SUPPORT TECHNIQUES; MODELS, THEORETICAL; PATTERN RECOGNITION, AUTOMATED;

EID: 84856277424     PISSN: 10834419     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCB.2011.2164523     Document Type: Article

References (43)

1. J. Bajo, J. M. Corchado, C. Pinzón, Y. Paz, and B. Pérez-Lancho, "SCMAS: A distributed hierarchical multi-agent architecture for blocking attacks to databases," Int. J. Innovative Comput., Inf. Control, vol. 6, no. 9, pp. 3787-3818, Sep. 2010.
2. Y. Cao and W. Ren, "Multi-vehicle coordination for double-integrator dynamics under fixed undirected/directed interaction in a sampled-data setting," Int. J. Robust Nonlinear Control, vol. 20, no. 9, pp. 987-1000, Jun. 2010.
3. Y. Cao and W. Ren, "Sampled-data formation control under dynamic directed interaction," in Proc. Amer. Control Conf., St. Louis, MO, 2009, pp. 5186-5191.
4. Y. Cao, Y. Li, W. Ren, and Y. Chen, "Distributed coordination of networked fractional-order systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 2, pp. 362-370, Apr. 2010.
5. W. Dong, "Flocking of multiple mobile robots based on backstepping," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 2, pp. 414-424, Apr. 2011, DOI:10.1109/TSMCB.2010.2056917.
6. Z. S. Duan, G. R. Chen, and L. Huang, "Disconnected synchronized regions of complex dynamical networks," IEEE Trans. Autom. Control, vol. 54, no. 4, pp. 845-849, Apr. 2009.
7. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465-1476, Sep. 2004.
8. C. Godsil and G. Doyle, Algebraic Graph Theory. New York: Springer-Verlag, 2001.
9. Y. Hatano and M. Mesbahi, "Agreement over random networks," IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 1867-1872, Nov. 2005. (Pubitemid 41748891)
10. T. Hayakawa, T. Matsuzawa, and S. Hara, "Formation control of multi-agent systems with sampled information," in Proc. IEEE Conf. Decision Control, San Diego, CA, 2006, pp. 4333-4338.
11. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
12. Z. Ji, Z. Wang, H. Lin, and Z. Wang, "Controllability of multi-agent systems with time-delay in state and switching topology," Int. J. Control, vol. 83, no. 2, pp. 371-386, Feb. 2010.
13. Z. Ji, Z. Wang, H. Lin, and Z. Wang, "Interconnection topologies for multi-agent coordination under leader-follower framework," Automatica, vol. 45, no. 12, pp. 2857-2863, Dec. 2009.
14. H. K. Khalil, Nonlinear Systems, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1996.
15. C. Liu and F. Liu, "Asynchronously-coupled consensus of second-order dynamic agents with communication delay," Int. J. Innovative Comput., Inf. Control, vol. 6, no. 11, pp. 5035-5046, Nov. 2010.
16. J. Liang, Z. Wang, Y. Liu, and X. Liu, "Globally synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1073-1083, Aug. 2008.
17. Y. Liu, Z. Wang, J. Liang, and X. Liu, "Synchronization and state estimation for discrete-time complex networks with distributed delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 5, pp. 1314-1325, Oct. 2008.
18. J. Q. Lu and D. W. C. Ho, "Globally exponential synchronization and synchronizability for general dynamical networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 2, pp. 350-361, Apr. 2010.
19. Z. Meng, W. Ren, Y. Cao, and Z. You, "Leaderless and leader-following consensus with communication and input delays under a directed network topology," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 1, pp. 75-88, Feb. 2011. DOI:10.1109/TSMCB.2010.2045891.
20. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 169-182, Feb. 2005. (Pubitemid 40319348)
21. S. Ogibayashi and K. Takashima, "Multi-agent simulation of fund circulation in an artificial economic system involving self-adjusting mechanism of price, production and investment," ICIC Exp. Lett., vol. 4, no. 3(B), pp. 877-884, Jun. 2010.
22. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
23. J. Qin, H. Gao, and W. X. Zheng, "Second-order consensus for multi-agent systems with switching topology and communication delay," Syst. Control Lett., vol. 60, no. 6, pp. 390-397, Jun. 2011.
24. J. Qin, H. Gao, and W. X. Zheng, "On average consensus in directed networks of agents with switching topology and time-delay," Int. J. Syst. Sci., vol. 42, no. 12, Dec. 2011, DOI:10.1080/00207721003802271.
25. J. Qin, W. X. Zheng, and H. Gao, "Sampled-data consensus for multiple agents with discrete second-order dynamics," in Proc. 49th IEEE Conf. Decision Control, Atlanta, GA, 2010, pp. 1391-1396.
26. W. Ren, "Consensus strategies for cooperative control of vehicle formations," IET Control Theory Appl., vol. 1, no. 2, pp. 505-512, Mar. 2007. (Pubitemid 46363135)
27. W. Ren, "On consensus algorithms for double-integrator dynamics," IEEE Trans. Autom. Control, vol. 53, no. 6, pp. 1503-1509, Jul. 2008.
28. W. Ren and E. M. Atkins, "Distributed multi-vehicle coordinated control via local information exchange," Int. J. Robust Nonlinear Control, vol. 17, no. 10/11, pp. 1002-1033, Jul. 2007. (Pubitemid 46988747)
29. W. Ren and R. W. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655-661, May 2005. (Pubitemid 40784437)
30. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control. London, U.K.: Springer-Verlag, 2008.
31. J. N. Tsitsiklis, D. P. Bertsekas, and M. Athans, "Distributed asynchronous deterministic and stochastic gradient optimization algorithms," IEEE Trans. Autom. Control, vol. AC-31, no. 9, pp. 803-812, Sep. 1986. (Pubitemid 16629805)
32. T. Vicsek, A. Czirok, E. B. Jacob, I. Cohen, and O. Schochet, "Novel type of phase transitions in a system of self-driven particles," Phys. Rev. Lett., vol. 75, no. 6, pp. 1226-1229, Aug. 1995.
33. J. Wolfowitz, "Products of indecomposable, aperiodic, stochastic matrices," Proc. Amer. Math. Soc., vol. 14, no. 5, pp. 733-737, Oct. 1963.
34. Y. Wang, Z. Wang, and J. Liang, "A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances," Phys. Lett. A, vol. 372, no. 39, pp. 6066-6073, Sep. 2008.
35. Z. Wang, Y. Wang, and Y. Liu, "Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time-delays," IEEE Trans. Neural Netw., vol. 21, no. 1, pp. 11-25, Jan. 2010.
36. F. Xiao and L. Wang, "Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays," IEEE Trans. Autom. Control, vol. 53, no. 8, pp. 1804-1816, Sep. 2008.
37. G. Xie and L. Wang, "Consensus control for a class of networks of dynamic agents," Int. J. Robust Nonlinear Control, vol. 17, no. 10/11, pp. 941-959, Jul. 2007. (Pubitemid 46988744)
38. H. Yang, Z. Zhang, and K. Cao, "Tracking control of multi-agent systems with leader-following and disturbance," ICIC Exp. Lett., vol. 4, no. 3(A), pp. 797-802, Jun. 2010.
39. C. Yu, J. M. Hendrickx, B. Fidan, B. D. O. Anderson, and V. D. Blondel, "Three and higher dimensional autonomous formations: Rigidity, persistence and structural persistence," Automatica, vol. 43, no. 3, pp. 387-402, Mar. 2007. (Pubitemid 46209040)
40. C. Yu, B. D. O. Anderson, S. Dasgupta, and B. Fidan, "Control of minimally persistent formations in the plane," SIAM J. Control Optim., vol. 48, no. 1, pp. 206-233, 2009.
41. W. Yu, J. Cao, G. Chen, and J. Lü, "Local synchronization of a complex network model," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 1, pp. 230-241, Feb. 2009.
42. W. Yu, G. Chen, Z. Wang, and W. Yang, "Distributed consensus filters in sensor networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 39, no. 6, pp. 1568-1577, Dec. 2009.
43. W. Yu, G. Chen, M. Cao, and J. Kurths, "Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 881-891, Jun. 2010.