On the general consensus protocol of multi-agent systems with double-integrator dynamics

Linear Algebra and Its Applications

Volumn 431, Issue 5-7, 2009, Pages 701-715

  Zhu, Jiandong ^a   Tian, Yu Ping ^b   Kuang, Jing ^a  

^a NANJING NORMAL UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Consensus; Double integrator dynamics; Multi agent systems

Indexed keywords

CONSENSUS; CONSENSUS PROBLEMS; CONSENSUS PROTOCOLS; CONVERGENCE SPEED; DESIGN METHOD; DOUBLE-INTEGRATOR DYNAMICS; SUFFICIENT CONDITIONS;

DYNAMICS;

MULTI AGENT SYSTEMS;

EID: 67349282008     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2009.03.019     Document Type: Article

References (22)

1. Wang P.K.C., and Hadaegh F.Y. Coordination and control of multiple microspacecraft moving in formation. J. Astronaut. Sci. 44 3 (1994) 315-355
2. Balch T., and Arkin R.C. Behavior-based formation control for multirobot terms. IEEE Trans. Robot. Automat. 14 6 (1998) 926-939
3. Hu X. Formation control with virtual leaders and reduced communications. IEEE Trans. Robot. Automat. 17 6 (2001) 947-951
4. Fax A., and Murray R.M. Information flow and cooperative control of vehicle formations. IEEE Trans. Automat. Contr. 49 9 (2004) 1465-1476
5. Toner J., and Tu Y. Flocks, herds, and schools: a quantitative theory of flocking. Phys. Rev. W 58 4 (1998) 4828-4858
6. Olfati-Saber R., and Murray R.M. Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Trans. Automat. Contr. 51 3 (2006) 401-420
7. Vicsek T., Czirok A., Ben-Jacob E., et al. Novel type of phase transitions in a system of self-driven particles. Phys. Rev. Lett. 75 6 (1995) 1226-1229
8. Jadbabaie A., Lin J., and Morse A.S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Automat. Contr. 48 6 (2003) 988-1001
9. R.O. Saber, R.M. Murray, Consensus protocols for networks of dynamic agents, in: Proceedings of Am. Contr. Conf., 2003, pp. 951-956.
10. Olfati-Saber R., and Murray R.M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Automat. Contr. 49 9 (2004) 1520-1533
11. Ren W., and Beard R.W. Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Trans. Automat. Contr. 50 5 (2005) 655-661
12. Lin Z.Y., Francis B., and Maggiore M. Necessary and sufficient graphical condition for formation control of unicycles. IEEE Trans. Automat. Contr. 50 1 (2005) 121-127
13. F. Xiao, L. Wang, Reaching agreement in finite time via continuous local state feedback, in: Proc. the 26th Chinese Contr. Conf., Zhangjiajie, Hunan, PR China, 2007, pp. 771-715.
14. Profiri M., and Stilwell D.J. Consensus seeking over random weighted directed graphs. IEEE Trans. Automat. Contr. 52 9 (2007) 1767-1773
15. Tian Y.-P., and Liu C.-L. Consensus of multi-agent systems with diverse input and communication delays. IEEE Trans. Automat. Contr. 53 9 (2008) 2122-2128
16. Xie G., and Wang L. Consensus control for a class of networks of dynamic agents. Int. J. Robust Nonlinear Contr. 17 10-11 (2007) 941-959
17. Ren W., and Atkins E. Distributed multi-vehicle coordinated control via local information exchange. Int. J. Robust Nonlinear Contr. 17 10-11 (2007) 1002-1033
18. P. Lin, Y. Jia, J. Du, S. Yuan, Distributed consensus control for second-order agents with fixed topology and time-delay, in: Proc. the 26th Chinese Contr. Conf., Zhangjiajie, Hunan, PR China, 2007, pp. 577-581.
19. Ren W., Moore K.L., and Chen Y.Q. High-order and model reference consensus algorithms in cooperative control of multi-vehicle systems. ASME J. Dynam. Syst. Meas. Contr. 129 5 (2007) 678-688
20. Y. Zhang, Y.-P. Tian, Consentability and protocol design of multi-agent systems with stochastic switching topology, Automatica (2009). .
21. Ren W. Synchronization of coupled harmonic oscillators with local interaction. Automatica 44 12 (2008) 3195-3200
22. S.E. Tuna, LQR-based coupling gain for synchronization of linear systems. .