Consensus control for leader-following multi-agent systems with measurement noises

Journal of Systems Science and Complexity

Volumn 23, Issue 1, 2010, Pages 35-49

  Ma, Cuiqin ^a   Li, Tao ^b   Zhang, Jifeng ^b  

^a QUFU NORMAL UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

Author keywords

Consensus protocol; Leader following; Multi agent system; Stochastic noise

Indexed keywords

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

ACOUSTIC NOISE; DIFFERENTIAL EQUATIONS; LYAPUNOV FUNCTIONS; SPURIOUS SIGNAL NOISE; STOCHASTIC SYSTEMS; TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 77249103974     PISSN: 10096124     EISSN: 15597067     Source Type: Journal    
DOI: 10.1007/s11424-010-9273-4     Document Type: Article

References (17)

1. R. Olfati-Saber, Flocking for multi-agent dynamic systems: Algorithms and theory, IEEE Transactions on Automatic Control, 2006, 51(3): 401-420.
2. N. E. Leonard and E. Fiorelli, Virtual leaders, artifical potentials and coordinated control of groups, in Proceedings of the 40th IEEE Conference on Decision and Control, Orland, Florida, 2001.
3. C. Belta and V. Kumar, Trajectory design for formations of robots by kinetic energy shaping, in Proceedings of the 2002 IEEE International Conference on Robotics and Automation, Washington, DC, USA, 2002.
4. W. Ren, R. W. Beard and T. W. Mclain, Coordination variables and consensus building in multiple vehicle systems, in Cooperative Control: A Post-Workshop Volume 2003 Block Island Workshop on Cooperative Control (ed. by V. Kumar, N. Leonard, and A. S. Morse), Springer-Verlag Series: Lecture Notes in Control and Information Sciences, Springer, Berlin, 2004, 171-188.
5. C. Cutts and J. Speakman, Energy savings in formation flight of pink-footed geese, Journal of Experimental Biology, 1994, 189(1): 251-261.
6. A. Jadbabaie, J. Lin, and A. S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Transactions on Automatic Control, 2003, 48(6): 988-1001.
7. W. Ren and R. W. Beard, Consensus seeking in multiagent systems under dynamically changing interaction topologies, IEEE Transactions on Automatic Control, 2005, 50(5): 655-661.
8. Y. Hong, J. Hu, and L. Gao, Tracking control for multi-agent consensus with an active leader and variable topology, Automatica, 2005, 42(7): 1177-1182.
9. W. Ren, R. W. Beard, and E. M. Atkins, A survey of consensus problems in multi-agent coordination, in Proceedings of the 2005 American Control Conference, Portland, OR, 2005.
10. T. Li and J. F. Zhang, Mean square average consensus under measurement noises and fixed topologies: Necessary and sufficient conditions, Automatica, 2009, 45(8): 1929-1936.
11. T. Li and J. F. Zhang, Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises, provisionally accepted by IEEE Transactions on Automatic Control, 2010, 55(9).
12. J. N. Tsitsiklis, D. P. Bertsekas, and M. Athans, Distributed asynchronous deterministic and stochastic gradient optimization algorithms, IEEE Transactions on Automatic Control, 1986, 31(9): 803-812.
13. R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, 2004, 49(9): 1520-1533.
14. M. Huang and J. H. Manton, Coordination and consensus of networked agents with noisy measurement: stochastic algorithms and asymptotic behavior, SIAM Journal on Control and Optimization, 2009, 48(1): 134-161.
15. M. B. Nevel'son and R. Z. Has'minskii, Stochastic Approximation and Recursive Estimation, American Mathematical Society, Providence, 1976.
16. A. N. Michel and R. K. Miller, Qualitative Analysis of Large Scale Dynamical Systems, Academic Press, New York, 1977.
17. W. Ren, Multi-vehicle consensus with a time-varying reference state, Systems and Control Letters, 2007, 56(7-8): 474-483.