Consensus of linear multi-agent systems by distributed event-triggered strategy

IEEE Transactions on Cybernetics

Volumn 46, Issue 1, 2016, Pages 148-157

  Hu, Wenfeng ^a   Liu, Lu ^a   Feng, Gang ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Consensus; Event triggered control; General linear dynamics; Multi agent systems

Indexed keywords

MEASUREMENT ERRORS;

CONSENSUS PROBLEMS; CONTINUOUS MONITORING; DESIRABLE FEATURES; DISTRIBUTED EVENTS; EVENT-TRIGGERED CONTROLS; LINEAR DYNAMICS; LOCAL INFORMATION; TRIGGERING TIME;

MULTI AGENT SYSTEMS;

EID: 84960396044     PISSN: 21682267     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCYB.2015.2398892     Document Type: Article

References (35)

1. W. Ren, "Formation keeping and attitude alignment for multiple spacecraft through local interactions," J. Guid. Control Dyn., vol. 30, no. 2, pp. 633-638, 2007.
2. J. Cortés and F. Bullo, "Coordination and geometric optimization via distributed dynamical systems," SIAM J. Control Optim., vol. 44, no. 5, pp. 1543-1574, 2005.
3. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: Algorithms and theory," IEEE Trans. Autom. Control, vol. 51, no. 3, pp. 401-420, Mar. 2006.
4. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
5. 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.
6. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
7. W. Ren and E. Atkins, "Distributed multi-vehicle coordinated control via local information exchange," Int. J. Robust Nonlin., vol. 17, nos. 10-11, pp. 1002-1033, Jul. 2007.
8. V. Gazi, "Stability of an asynchronous swarm with time-dependent communication links," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 1, pp. 267-274, Feb. 2008.
9. R. Wei, "On consensus algorithms for double-integrator dynamics," IEEE Trans. Autom. Control, vol. 53, no. 6, pp. 1503-1509, Jul. 2008.
10. W. Yu, G. Chen, M. Cao, and J. Kurths, "Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics," IEEE Trans. Syst. Man, Cybern. B, Cybern., vol. 40, no. 3, pp. 881-891, Jun. 2010.
11. 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.
12. Z. Wu, H. Fang, and Y. She, "Weighted average prediction for improving consensus performance of second-order delayed multi-agent systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 42, no. 5, pp. 1501-1508, Oct. 2012.
13. J. Qin, W. X. Zheng, and H. Gao, "Coordination of multiple agents with double-integrator dynamics under generalized interaction topologies," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 42, no. 1, pp. 44-57, Feb. 2012.
14. W.-S. Zhong, G.-P. Liu, and C. Thomas, "Global bounded consensus of multiagent systems with nonidentical nodes and time delays," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 42, no. 5, pp. 1480-1488, Oct. 2012.
15. Y. Su and J. Huang, "Cooperative output regulation with application to multi-agent consensus under switching network," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 42, no. 3, pp. 864-875, Jun. 2012.
16. P. Tabuada, "Event-triggered real-time scheduling of stabilizing control tasks," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1680-1685, Sep. 2007.
17. D. V. Dimarogonas, E. Frazzoli, and K. H. Johansson, "Distributed event-triggered control for multi-agent systems," IEEE Trans. Autom. Control, vol. 57, no. 5, pp. 1291-1297, May 2012.
18. Y. Fan, G. Feng, Y. Wang, and C. Song, "Distributed event-triggered control of multi-agent systems with combinational measurements," Automatica, vol. 49, pp. 671-675, Feb. 2013.
19. G. S. Seyboth, D. V. Dimarogonas, and K. H. Johansson, "Event-based broadcasting for multi-agent average consensus," Automatica, vol. 49, pp. 245-252, Jan. 2012.
20. K. J. Åström and B. M. Bernhardsson, "Comparison of periodic and event based sampling for first-order stochastic systems," in Proc. 14th IFAC World Conf., vol. 11. Beijing, China, 1999, pp. 301-306.
21. A. Albert, "Comparison of event-triggered and time-triggered concepts with regard to distributed control systems," in Proc. Embedded World, vols. 17-19. Nuremberg, Germany, 2004, pp. 235-252.
22. K. J. Åström and B. M. Bernhardsson, "Comparison of Riemann and Lebesque sampling for first order stochastic systems," in Proc. 41st IEEE Conf. Decis. Control, vol. 2. Las Vegas, NV, USA, 2002, pp. 2011-2016.
23. J. Hu, G. Chen, and H.-X. Li, "Distributed event-triggered tracking control of leader-follower multi-agent systems with communication delays," Kybernetika, vol. 47, no. 4, pp. 630-643, 2011.
24. Z. Liu, Z. Chen, and Z. Yuan, "Event-triggered average-consensus of multi-agent systems with weighted and direct topology," J. Syst. Sci. Complex., vol. 25, no. 5, pp. 845-855, 2012.
25. X. Wang and M. D. Lemmon, "Event-triggering in distributed networked control systems," IEEE Trans. Autom. Control, vol. 56, no. 3, pp. 586-601, Mar. 2011.
26. X. Wang and W. Ni, "Event-triggered output regulation for linear multiagent systems," in Proc. Chin. Control Conf., Hefei, China, 2012, pp. 6177-6182.
27. Y. Fan, L. Liu, G. Feng, and Y. Wang, "Self-triggered consensus for multi-agent systems with Zeno-free triggers," IEEE Trans. Autom. Control, to be published.
28. J. Wang, D. Cheng, and X. Hu, "Consensus of multi-agent linear dynamic systems," Asian J. Control, vol. 10, no. 2, pp. 144-155, 2008.
29. Z. Li, Z. Duan, and G. Chen, "Dynamic consensus of linear multi-agent systems," IET Control Theory Appl., vol. 5, no. 1, pp. 19-28, Jan. 2011.
30. Z. Li, Z. Duan, G. Chen, and L. Huang, "Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 1, pp. 213-224, Jan. 2010.
31. C. D. Godsil and G. Royle, Algebraic Graph Theory. New York, NY, USA: Springer, 2001.
32. M. Fiedler, "Algebraic connectivity of graphs," Czech. Math. J., vol. 23, no. 2, pp. 298-305, 1973.
33. C. Nowzari and J. Cortés, "Zeno-free, distributed event-triggered communication and control for multi-agent average consensus," in Proc. Amer. Control Conf., Portland, OR, USA, 2014, pp. 2148-2153.
34. V. Kucera, "A contribution to matrix quadratic equations," IEEE Trans. Autom. Control, vol. 17, no. 3, pp. 344-347, Jan. 1972.
35. H. K. Khalil and J. Grizzle, Nonlinear Systems. Upper Saddle River, NJ, USA: Prentice Hall, 2002.