Fast consensus via predictive pinning control

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 58, Issue 9, 2011, Pages 2247-2258

  Zhang, Hai Tao ^a,b   Chen, Michael Z Q ^c   Stan, Guy Bart ^b,d  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

^d IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Consensus; multi agent system (MAS); pinning control; predictive control; synchronization

Indexed keywords

ELECTRICAL ENGINEERING; ELECTRONICS ENGINEERING; SYNCHRONIZATION;

BIOLOGICAL SWARMS; COMPRESSION MECHANISM; CONSENSUS; CONSENSUS NETWORKS; ENGINEERING APPLICATIONS; PINNING CONTROL; PREDICTIVE CONTROL; PREDICTIVE MECHANISMS;

MULTI AGENT SYSTEMS;

EID: 80052875370     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2011.2123450     Document Type: Article

References (34)

1. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, "Novel type of phase transition in a system of self-driven particles," Phys. Rev. Lett., vol. 75, no. 6, pp. 1226-1229, 1995.
2. G. Grégoire and H. Chaté, "Onset of collective and cohesive motion," Phys. Rev. Lett., vol. 92, no. 2, p. 025702, 2004.
3. M. Aldana, V. Dossetti, C. Huepe, V. M. Kenkre, and H. Larralde, "Phase transitions in systems of self-propelled agents and related network models," Phys. Rev. Lett., vol. 98, p. 095702, 2007.
4. R. Olfati-Saber and R. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Automat. Contr., vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
5. W. Ren and R. W. Beard, "Consensus seeking in multiagents systems under dynamically changing interaction topologies," IEEE Trans. Automat. Contr., vol. 50, no. 5, pp. 655-661, May 2005. (Pubitemid 40784437)
6. W. Ren, R. W. Beard, and E. M. Arkins, "Information consensus in multivehicle cooperative control," IEEE Contr. Syst. Mag., vol. 71, no. 2, pp. 71-82, Feb. 2007. (Pubitemid 46562979)
7. W. Ren and E. M. Arkins, "Distributed multi-vehicle coordinated control via local information exchange," Proc. Int. J. Robust Nonlinear Contr., vol. 17, no. 10, pp. 1002-1033, 2007. (Pubitemid 46988747)
8. I. F. Akyildiz, W. Su, Y. Sankarasubramaniam, and E. Cayirci, "Wireless sensor networks: A survey," Comput. Netw., vol. 38, no. 4, pp. 393-422, 2002. (Pubitemid 34181630)
9. P. Ogren, E. Fiorelli, and N. E. Leonard, "Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment," IEEE Trans. Automat. Contr., vol. 49, no. 8, pp. 1292-1302, Aug. 2004.
10. T. Arai, E. Pagello, and L. E. Parker, "Guest editorial advances in multirobot systems," IEEE Trans. Robot. Automat., vol. 18, no. 5, pp. 655-661, May 2002.
11. J. Tsitsiklis and M. Athans, "Convergence and asymptotic agreement in distributed decision problems," IEEE Trans. Automat. Contr., vol. 29, no. 1, pp. 42-50, Jan. 1984. (Pubitemid 14529258)
12. R. Olfati-Saber, "Ultrafast consensus in small-world networks," in Proc. Amer. Contr. Conf., Jun. 2005, pp. 2371-2378. (Pubitemid 41188970)
13. L. Xiao and S. Boyd, "Fast linear iterations for distributed averaging," Syst. Contr. Lett., vol. 53, no. 1, pp. 65-78, 2004.
14. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Automat. Contr., vol. 48, no. 6, pp. 988-1001, Jun. 2003.
15. C. Q. Ma and J. F. Zhang, "Necessary and sufficient conditions for consensusability of linear multi-agent systems," IEEE Trans. Automat. Contr., vol. 55, no. 5, pp. 1263-1268, May 2010.
16. W. Yu, G. Chen, and M. Cao, "Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems," Automatica, vol. 46, no. 6, pp. 1089-1095, 2010.
17. A. Ozdaglar, A. Nedic, and P. A. Parrilo, "Constrained consensus and optimization in multi-agent networks," IEEE Trans. Automat. Contr., vol. 55, no. 4, pp. 922-938, Apr. 2010.
18. L. Wang and F. Xiao, "Finite-time consensus problems for networks of dynamic agents," IEEE Trans. Automat. Contr., vol. 55, no. 4, pp. 950-955, Apr. 2010.
19. Y.Cao andW. Ren, "LQR-based optimal linear consensus algorithms," in Proc. Amer. Contr. Conf., St. Louis, MO, Jun. 10-12, 2009, pp. 5204-5209, Hyatt Regency Riverfront.
20. Z. Meng, Y. Cao, and W. Ren, "Stability and convergence analysis of multi-agent consensus with information reuse," Int. J. Contr., vol. 83, no. 5, pp. 1081-1092, 2010.
21. Y. Cao and W. Ren, "Multi-agent consensus using both current and outdated states with fixed and undirected interaction," J. Intell. Robot. Syst., vol. 58, no. 1, pp. 95-106, 2010.
22. E. F. Woods, "Electronic prediction of swarming in bees," Nature, vol. 184, no. 4690, pp. 842-844, 1959.
23. P. R. Montague, P. Dayan, C. Person, and T. J. Sejnowski, "Bee foraging in uncertain environments using predictive hebbian learning," Nature, vol. 377, pp. 725-728, 1995. (Pubitemid 26450238)
24. J. A. Gottfried, J. O. Doherty, and R. J. Dolan, "Encoding predictive reward value in human amygdala and orbitofrontal cortex," Science, vol. 301, no. 5636, pp. 1104-1107, 2003. (Pubitemid 37022314)
25. C. Summerfield, T. Egner, M. Greene, E. Koechlin, J. Mangles, and J. Hirsch, "Predictive codes for forthcoming perception in the frontal cortex," Science, vol. 314, no. 5803, pp. 1311-1314, 2006. (Pubitemid 44848245)
26. D. Melcher, "Predictive remapping of visual features precedes saccadic eye movements," Nature Neurosci., vol. 10, no. 7, pp. 903-907, 2007. (Pubitemid 47013433)
27. G. Farrai-Trecate, L. Galbusera, M. P. E. Marcinadi, and R. Scattolini, "Model predictive control schemes for consensus in multi-agent systems with single-and double-integrator dynamics," IEEE Trans. Automat. Contr., vol. 54, no. 11, pp. 2560-2572, Nov. 2009.
28. X. F. Wang, X. Li, and J. Lu, "Control and flocking of networked systems via pinning," IEEE Circuits Syst. Mag., vol. 10, no. 3, pp. 83-91, Mar. 2010.
29. X. Li, X. Wang, and G. Chen, "Pinning a complex dynamical network to its equilibrium," IEEE Trans. Circuits Syst. I, vol. 51, no. 10, pp. 297-2087, Oct. 2004.
30. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaer, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, pp. 789-814, 2000. (Pubitemid 30587683)
31. S. J. Qin and T. A. Badgwell, "A survey of industrial model predictive control technology," Contr. Eng. Practice, vol. 11, pp. 733-764, 2003. (Pubitemid 36906334)
32. J. M. Maciejowski, Predictive Control With Constraints. Cambridge, U.K.: Cambridge Univ. Press, 2002.
33. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1990.
34. Z. Li, G. Chen, and L. Huang, "Consensus of multiagent systems and synchronization of complex networks: A unified view point," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 1, pp. 213-224, Jan. 2010.