Leader-following consensus control for multi-agent systems under measurement noises

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Ma, Cui Qin ^a   Li, Tao ^a   Zhang, Ji Feng ^a  

^a NONE

Author keywords

Multi agent systems; Stochastic control

Indexed keywords

ALGEBRAIC GRAPH THEORY; COMMON LYAPUNOV FUNCTIONS; CONSENSUS CONTROL; MEAN SQUARE; MEASUREMENT NOISE; NOISE FREE CASE; STOCHASTIC ANALYSIS; STOCHASTIC CONTROL; SUFFICIENT CONDITIONS; SWITCHING TOPOLOGY; TIME VARYING;

ACOUSTIC NOISE; DIFFERENTIAL EQUATIONS; GRAPH THEORY; LYAPUNOV FUNCTIONS; NETWORK PROTOCOLS; SPURIOUS SIGNAL NOISE; STOCHASTIC CONTROL SYSTEMS; TIME VARYING NETWORKS;

MULTI AGENT SYSTEMS;

EID: 79961017693     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.3394     Document Type: Conference Paper

References (23)

1. Belta, C., & Kumar, V. (2002). Trajectory design for formation of robots by kinetic energy shaping, Proceedings of the 2002 IEEE International Conference on Robotics and Automation, Washington DC, May 11-15, 2002.
2. Chow, Y. S., & Teicher, H. (1997). Probability Theory: Independence, Interchangeability, Martingales, 3rd edition, New York: Springer-Verlag.
3. Cutts, C., & Speakman, J. (1994). Energy savings in formation flight of Pink-Footed geese, Journal of Experimental Biology, 189(1), 251-261.
4. Fax, J. A., & Murray, R. M. (2004). Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, 49(9), 1465-1476.
5. Godsil, C., & Royle, G. (2001). Algebraic Graph Theory, New York: Springer.
6. Hu, J., & Hong, Y. (2005). Leader-following coordination of multi-agent systems with coupling time delays, Physica A: Statistical Mechanics and its Applications, 374(2), 853-863. (Pubitemid 44765170)
7. Huang, M., & Manton, J. H. (2006). Coordination and consensus of networked agents with noisy measurment: stochastic algorithms and asymptotic behavior, submitted to SIAM Journal on Control and Optimization: Special Issue on Control and Optimization in Cooperative Networks, 2006.
8. Jadbabaie, A., Lin, J., & Morse, A. S. (2003). Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Transactions on Automatic Control, 48(6), 988-1001.
9. Kingston, D. B., Ren, W., & Beard, R. W. (2005). Consensus algorithms are input-to-state stable, Proceedings of the 2005 American Control Conference, Portland, OR, June 8-10, 2005.
10. Leonard, N. E., & Fiorelli, E. (2001). Virtual leaders, artificial potentials and coordinated control of groups, Proceedings of the 40th IEEE Conference on Decision and Control , Orlando, Florida, December 4-7, 2001.
11. Li, T., & Zhang, J. F. (2007). Mean square average consensus under measurement noises and fixed topologies: necessary and sufficient conditions, submitted for possible publication.
12. Lin, Z., Broucke, M., & Francis, B. (2004). Local control strategies for groups of mobile autonomous agents, IEEE Transactions on Automatic Control, 49(4), 622-629.
13. Michel, A. N., & Miller, R. K. (1977). Qualitative Analysis of Large Scale Dynamical Systems, New York: Academic Press.
14. Nevel'son, M. B., & Has'minskii, R. Z. (1976). Stochastic Approximation and Recursive Estimation, Providence, RI: American Mathematical Society.
15. Olfati-Saber, R. (2006). Flocking for multi-agent dynamics systems: algorithms and theory, IEEE Transactions on Automatic Control, 51(3), 401-420.
16. Olfati-Saber, R., & Murray, R. M. (2004). Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 49(9), 1520-1533.
17. Ren, W.(2007). Multi-vehicle consensus with a time-varying reference state, Systems & Control Letters, 56(7-8), 474-483.
18. Ren, W., & Beard, R. W. (2005). Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 50(5), 655-661. (Pubitemid 40784437)
19. Ren, W., Beard, R. W., & Atkins, E. M. (2005). A survey of consensus problems in multi-agent coordination, Proceedings of the 2005 American Control Conference, Portland, OR, June 8-10, 2005.
20. Ren, W., Beard, R. W., & Kingston, D. B. (2005). Multi-agent Kalman consensus with relative uncertainty, Proceedings of the 2005 American Control Conference, Portland, OR, June 8-10, 2005.
21. Ren, W., Beard, R. W., & Mclain, T. W. (2004). Coordination variables and consensus building in multiple vehicle systems, In V. Kumar, N. E. Leonard, & A. S. Morse (Eds.) Cooperative control, Springer Series: Lecture notes in control and information sciences (pp. 171-188), Berlin: Springer.
22. Tsitsiklis, J. N., Bertsekas, D. P. & Athans, M. (1986). Distributed asynchronous deterministic and stochastic gradient optimization algorithms, IEEE Transactions on Automatic Control, 31(9), 803-812.
23. Yu, H., Wang, Y. J., & Cheng, L. (2005). Control of stable flocking motion of multiply-agent with a leader, Journal of Huazhong University of Science and Technology (Nature Science), 33(8), 56-58.