A unified approach to practical consensus with quantized data and time delay

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 60, Issue 10, 2013, Pages 2668-2678

  Li, Lulu ^a   Ho, Daniel W C ^a   Lu, Jianquan ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Consensus; multi agent networks; quantization; time delay

Indexed keywords

MULTI AGENT SYSTEMS; TIMING CIRCUITS;

CONSENSUS; CONSENSUS PROBLEMS; DELAYED INFORMATION; MATHEMATICAL TREATMENTS; MULTIAGENT NETWORKS; QUANTIZATION; QUANTIZATION PARAMETERS; WEIGHTED NETWORKS;

TIME DELAY;

EID: 84884904277     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2013.2244322     Document Type: Article

References (44)

1. N. Lynch, Distributed Algorithms. San Francisco, CA, USA: Kaufmann, 1996.
2. R. Olfati-Saber and R. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom, Control, vol. 49, no. 9, pp. 1520-1533, 2004.
3. W. Ren and R. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655-661, 2005. (Pubitemid 40784437)
4. W. Yu, G. Chen, and M. Cao, "Distributed leader-follower flocking control for multi-agent dynamical systems with time-varying velocities," Syst. Control Lett., vol. 59, no. 9, pp. 543-552, 2010.
5. B. Shen, Z. Wang, and Y. Hung, "Distributed consensus filtering in sensor networks with multiple missing measurements: The finitehorizon case," Automatica, vol. 46, no. 10, pp. 1682-1688, 2010.
6. Y. Tang, Z. Wang, W. Wong, J. Kurths, and J. Fang, "Multiobjective synchronization of coupled systems," Chaos, vol. 21, p. 2, 2011.
7. C. Huang, D. Ho, and J. Lu, "Partial-information-based distributed filtering in two-targets tracking sensor network," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 59, no. 4, pp. 820-832, 2012.
8. Y. Tang, H. Gao, J. Kurths, and J. Fang, "Evolutionary pinning control and its application in uav coordination," IEEE Trans. Ind. Informatics, vol. 8, no. 4, pp. 828-838, 2012.
9. M. Cao, A. Morse, and B. Anderson, "Reaching a consensus in a dynamically changing environment: A graphical approach," SIAM J. Control Optim., vol. 47, no. 2, pp. 575-600, 2008.
10. W. Yang, L. Cao, X. Wang, and X. Li, "Consensus in a heterogeneous influence network," Phys. Rev. E, vol. 74, no. 3, p. 037101, 2006.
11. A. Jadbabaie, J. Lin, and A. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, 2003.
12. J. Lu, D. Ho, and J. Kurths, "Consensus over directed static networks with arbitrary communication delays," Phys. Rev. E, vol. 80, p. 066121, 2009.
13. W. Yu, G. Chen, W. Ren, J. Kurths, and W. Zheng, "Distributed higher order consensus protocols in multiagent dynamical systems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 8, pp. 1924-1932, 2011.
14. X. Liu, T. Chen, and W. Lu, "Consensus problem in directed networks of multi-agents via nonlinear protocols," Phys. Lett. A, vol. 373, no. 35, pp. 3122-3127, 2009.
15. D. Yuan, S. Xu, and H. Zhao, "Distributed primal-dual subgradient method for multiagent optimization via consensus algorithms," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 41, no. 6, pp. 1715-1724, 2011.
16. X. Li and G. Chen, "Synchronization and desynchronization of complex dynamical networks: An engineering viewpoint," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 11, pp. 1381-1390, 2003.
17. J. Cao and L. Li, "Cluster synchronization in an array of hybrid coupled neural networks with delay," Neural Netw., vol. 22, no. 4, pp. 335-342, 2009.
18. J. Lu, D. Ho, J. Cao, and J. Kurths, "Exponential synchronization of linearly coupled neural networks with impulsive disturbances," IEEE Trans. Neural Netw., vol. 22, no. 2, pp. 329-336, 2011.
19. J. Lu, J. Kurths, J. Cao, N. Mahdavi, and C. Huang, "Synchronization control for nonlinear stochastic dynamical networks: Pinning impulsive strategy," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 2, pp. 285-292, 2012.
20. W. Wu, W. Zhou, and T. Chen, "Cluster synchronization of linearly coupled complex networks under pinning control," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 56, no. 4, pp. 829-839, 2009.
21. H. Gao and T. Chen, " estimation for uncertain systems with limited communication capacity," IEEE Trans. Autom. Control, vol. 52, no. 11, pp. 2070-2084, 2007.
22. A. Kashyap, T. Basar, and R. Srikant, "Quantized consensus," Automatica, vol. 43, no. 7, pp. 1192-1203, 2007. (Pubitemid 46802442)
23. H. Gao and T. Chen, "A new approach to quantized feedback control systems," Automatica, vol. 44, no. 2, pp. 534-542, 2008.
24. T. Aysal, M. Coates, and M. Rabbat, "Distributed average consensus with dithered quantization," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4905-4918, 2008.
25. S. Kar and J. Moura, "Distributed consensus algorithms in sensor networks: Quantized data and random link failures," IEEE Trans. Signal Process., vol. 58, no. 3, pp. 1383-1400, 2010.
26. B. Shen, Z.Wang, H. Shu, andG. Wei, "Robust finite-horizon filtering with randomly occurred nonlinearities and quantization effects," Automatica, vol. 46, no. 11, pp. 1743-1751, 2010.
27. A. Nedic, A. Olshevsky, A. Ozdaglar, and J. Tsitsiklis, "On distributed averaging algorithms and quantization effects," IEEE Trans. Autom. Control, vol. 54, no. 11, pp. 2506-2517, 2009.
28. P. Frasca, R. Carli, F. Fagnani, and S. Zampieri, "Average consensus on networks with quantized communication," Int. J. Robust Nonlinear Control, vol. 19, no. 16, pp. 1787-1816, 2009.
29. T. Li,M. Fu, L. Xie, and J. Zhang, "Distributed consensus with limited communication data rate," IEEE Trans. Autom. Control, vol. 56, no. 2, pp. 279-292, 2011.
30. F. Ceragioli, C. De Persis, and P. Frasca, "Discontinuities and hysteresis in quantized average consensus," Automatica, vol. 47, no. 9, pp. 1916-1928, 2011.
31. Q. Hui, "Quantized near-consensus via quantized communication links," Int. J. Control, vol. 84, no. 5, pp. 931-946, 2011.
32. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: Algorithms and theory," IEEE Trans. Autom. Control, vol. 51, no. 3, pp. 401-420, 2006.
33. F. Xiao and L. Wang, "Consensus protocols for discrete-time multiagent systems with time-varying delays," Automatica, vol. 44, no. 10, pp. 2577-2582, 2008.
34. J. Qin, H. Gao, and W. Zheng, "Second-order consensus for multi-agent systems with switching topology and communication delay," Syst. Control Lett., vol. 60, no. 6, pp. 390-397, 2011.
35. W. Zhong, G. Liu, and D. Rees, "Global bounded consensus of multiagent systems with non-identical nodes and communication time-delay topology," Int. J. Syst. Sci., vol. 44, no. 2, pp. 346-357, 2013.
36. A. Filippov, Differential Equations With Discontinuous Righthand Sides. New York: Springer, 1988, vol. 18.
37. F. Clarkec,Optimization and Nonsmooth Analysis. NewYork:Wiley, 1983.
38. B. Paden and S. Sastry, "A calculus for computing filippov's differential inclusion with application to the variable structure control of robot manipulators," IEEE Trans. Circuits Syst., vol. CAS-34, no. 1, pp. 73-82, 1987. (Pubitemid 17534653)
39. J. Aubin and H. Frankowska, Set-Valued Analysis. Boston, MA, USA: Birkhäuser, 1990.
40. M. Forti, P. Nistri, and D. Papini, "Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1449-1463, 2005. (Pubitemid 41709643)
41. J. Hale and S. Lunel, Introduction to Functional Differential Equations. New York: Springer, 1993, vol. 99.
42. M. Forti and P. Nistri, "Global convergence of neural networks with discontinuous neuron activations," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 50, no. 11, pp. 1421-1435, 2003.
43. K. Gu, J. Chen, and V. Kharitonov, Stability of Time-Delay Systems. Boston, MA, USA: Birkhäuser, 2003.
44. D. Watts and S. Strogatz, "Collective dynamics of 'small-world' networks," Nature, vol. 393, pp. 440-442, 1998. (Pubitemid 28292183)