Consensus of multi-agent networks with aperiodic sampled communication via impulsive algorithms using position-only measurements

IEEE Transactions on Automatic Control

Volumn 57, Issue 10, 2012, Pages 2639-2643

  Liu, Zhi Wei ^a   Guan, Zhi Hong ^a   Shen, Xuemin ^b   Feng, Gang ^c  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF WATERLOO   (Canada)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Aperiodic sampled information; consensus; impulsive algorithms; multi agent networks

Indexed keywords

ALGEBRAIC GRAPH THEORY; APERIODIC SAMPLED INFORMATION; COMMUNICATION GRAPHS; CONSENSUS; CONSENSUS ALGORITHMS; CONTINUOUS TIME; MULTIAGENT NETWORKS; NUMERICAL EXAMPLE; SECOND ORDERS; SPANNING TREE; STOCHASTIC MATRICES; SUFFICIENT CONDITIONS; SWITCHING TOPOLOGY; TECHNICAL NOTES;

COMMUNICATION; GRAPH THEORY;

ALGORITHMS;

EID: 84866952371     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2214451     Document Type: Article

References (26)

1. F. Bullo, J. Cortés, and S. Martínez, Distributed Control of Robotic Networks. Princeton, NJ: Princeton Univ. Press, 2009.
2. Z. Guan, Z. Liu, G. Feng, and Y. Wang, "Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control," IEEE Trans. Circuits Syst. I, vol. 57, no. 8, pp. 2182-2195, Aug. 2010.
3. R. Carli, A. Chiuso, L. Schenato, and S. Zampieri, "Distributed Kalman filtering based on consensus strategies," IEEE J. Selected Areas Commun., vol. 26, no. 4, pp. 622-633, May 2008. (Pubitemid 351658778)
4. A. Kashyap, T. Basar, and R. Srikant, "Quantized consensus," Automatica, vol. 43, no. 7, pp. 1192-1203, Jul. 2007. (Pubitemid 46802442)
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. 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)
7. 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.
8. Z. Lin, B. Francis, and M. Maggiore, "State agreement for continuoustime coupled nonlinear systems," SIAM J. Control Optim., vol. 46, no. 1, pp. 288-307, 2007. (Pubitemid 351271298)
9. Q. Hui and W. M. Haddad, "Distributed nonlinear control algorithms for network consensus," Automatica, vol. 44, no. 9, pp. 2154-2158, Sep. 2009.
10. M. Huang and J. H. Manton, "Coordination and consensus of networked agents with noisy measurements: Stochastic algorithms and asymptotic behavior," SIAM J. Control Optim., vol. 48, no. 1, pp. 134-161, 2009.
11. W. Ren, "On consensus algorithms for double-integrator dynamics," IEEE Trans. Autom. Control, vol. 53, no. 6, pp. 1503-1509, Jul. 2008.
12. P. Lin and Y. Jia, "Consensus of second-order discrete-time multiagent systems with nonuniform time-delays and dynamically changing topologies," Automatica, vol. 45, no. 9, pp. 2154-2158, Sep. 2009.
13. E. Semsar-Kazerooni and K. Khorasani, "Optimal consensus seeking in a network of multiagent systems: An LMI approach," IEEE Trans. Syst. Man Cybern. B, vol. 40, no. 2, pp. 540-547, Apr. 2010.
14. Y. G. Hong, H. P. Hu, and L. X. Gao, "Tracking control for multi-agent consensus with an active leader and variable topology," Automatica, vol. 42, no. 7, pp. 1177-1182, Jul. 2006.
15. 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.
16. L. Tao and Z. J. Feng, "Sampled-data based average consensus with measurement noises: Convergence analysis and uncertainty principle," Sci. China serises F-Inform. Sci., vol. 52, no. 11, pp. 2089-2103, Nov. 2009.
17. Y. Cao and W. Ren, "Sampled-data discrete-time coordination algorithms for double-integrator dynamics under dynamic directed interaction," Int. J. Control, vol. 83, no. 3, pp. 506-515, 2010.
18. 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)
19. Y. Zhang and Y.-P. Tian, "Consensus of data-sampled multi-agent systems with random communication delay and packet Loss," IEEE Trans. Autom. Control, vol. 55, no. 4, pp. 939-943, Apr. 2010.
20. H. Liu, G. Xie, and L. Wang, "Necessary and sufficient conditions for solving consensus problems of double-integrator dynamics via sampled control," Int. J. Robust Nonlin. Control, vol. 20, no. 15, pp. 1706-1722, Oct. 2010.
21. Y. Gao and L. Wang, "Consensus of multiple double-integrator agents with intermittent measurement," Int. J. Robust Nonlin. Control, vol. 20, no. 10, pp. 1140-1155, Jul. 2010.
22. J. Wolfowitz, "Products of indecomposable, aperiodic, stochastic matrices," in Proc. Amer. Math. Soc., 1963, vol. 15, pp. 733-736.
23. Y. Gao, L. Wang, and Y. Jia, "Consensus of multiple second-Order agents without velocity measurements," in Proc. Amer. Control Conf., St. Louis, MO, Jun. 2009, pp. 4464-4469.
24. W. Yu,W. X. Zheng, G. Chen, W. Ren, and J. Cao, "Second-order consensus in multi-agent dynamical systems with sampled position data," Automatica, vol. 47, no. 7, pp. 1496-1503, Jul. 2011.
25. Z. Guan, G. Chen, and T. Ueta, "On impulsive control of a periodically forced chaotic pendulum system," IEEE Trans. Autom. Control, vol. 45, no. 9, pp. 1724-1727, Sep. 2000. (Pubitemid 32067046)
26. Z. Guan, D. Hill, and X. Shen, "On hybrid impulsive and switching systems and application to nonlinear control," IEEE Trans. Autom. Control, vol. 50, no. 7, pp. 1058-1062, Jul. 2005. (Pubitemid 41078411)