Distributed robust H∞ consensus control in directed networks of agents with time-delay

Systems and Control Letters

Volumn 57, Issue 8, 2008, Pages 643-653

  Lin, Peng ^a   Jia, Yingmin ^a   Li, Lin ^a  

^a BEIHANG UNIVERSITY   (China)

Author keywords

Consensus; Directed graph; H control; Multi agent systems; Switching topology; Time delay

Indexed keywords

COMPUTER SIMULATION; GRAPH THEORY; SWITCHING; TIME DELAY; TOPOLOGY;

DIRECTED GRAPHS; SWITCHING TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 44349172249     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2008.01.002     Document Type: Article

References (39)

1. Tsitsiklis J.N., Bertsekas D.P., and Athans M. Distributed asynchronous deterministic and stochastic gradient optimization algorithms. IEEE Trans. Automat. Control 31 9 (1986) 803-812
2. Bertsekas D.P., and Tsitsiklis J. Parallel and Distributed Computation (1989), Prentice-Hall, Upper Saddle River, NJ
3. Lynch N.A. Distributed Algorithms (1997), Morgan Kaufmann, San Mateo, CA
4. Vicsek T., Cziroók A., Ben-Jacob E., Cohen O., and Shochet I. Novel type of phase transition in a system of self-driven particles. Phys. Rev. Lett. 75 6 (1995) 1226-1229
5. Jadbabaie A., Lin J., and Morse A.S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Automat. Control 48 6 (2003) 988-1001
6. Moreau L. Stability of multi-agent systems with time-dependent communication links. IEEE Trans. Automat. Control 50 2 (2005) 169-182
7. Olfati-Saber R., and Murray R.M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Automat. Control 49 9 (2004) 1520-1533
8. Olfati-Saber R., Fax J.A., and Murray R.M. Consensus and cooperation in networked multi-agent systems. Proc. IEEE 95 1 (2007) 215-233
9. Fax J.A., and Murray R.M. Information flow and cooperative control of vehicle formations. IEEE Trans. Automat. Control 49 9 (2004) 1465-1476
10. Lafferriere G., Williams A., Caughman J., and Veerman J.J.P. Decentralized control of vehicle formations. System Control Lett. 54 9 (2005) 899-910
11. D.B. Kingston, R.W. Beard, Discrete-time average-consensus under switching network topologies, in: Proceedings of IEEE Conference on Decision and Control, 2005, pp. 2016-2021
12. Ren W., and Beard R.W. Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Trans. Automat. Control 50 5 (2005) 655-661
13. W. Ren, R.W. Beard, E.M. Atkins, A survey of consensus problem in multiagent coordination, in: Proceedings of the American Control Conference, 2005, pp. 1859-1864
14. Olfati-Saber R. Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Trans. Automat. Control 51 3 (2006) 410-420
15. H. Tanner, A. Jadbabaie, G. Pappas, Stable flocking of mobile agents, part II: Dynamic topology, in: Proceedings of IEEE Conference on Decision and Control, 2003, pp. 2016-2021
16. Moshtagh N., and Jadbabaie A. Distributed geodesic control laws for flocking of nonholonomic agents. IEEE Trans. Automat. Control. 52 4 (2007) 681-686
17. Dimarogonas D.V., and Kyriakopoulos K.J. On the rendezvous problem for multiple nonholonomic agents. IEEE Trans. Automat. Control 52 5 (2007) 916-922
18. D.V. Dimarogonas, Kostas J. Kyriakopoulos, Connectivity preserving distributed swarm aggregation for multiple kinematic agents, in: Proceedings of IEEE Conference on Decision and Control, 2007, pp. 2913-2918
19. M. Ji, M. Egerstedt, Distributed formation control while preserving connectedness, in: Proceedings of IEEE Conference on Decision and Control, 2006, pp. 5962-5967
20. Hong Y., Gao L., Cheng D., and Hu J. Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 7 (2006) 1177-1182
21. Ögren P., Fiorelli E., and Leonard N.E. Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment. IEEE Trans. Automat. Control 49 8 (2004) 1292-1302
22. Xiao L., and Boyd S. Fast linear iterations for distributed averaging. System Control Lett. 53 1 (2004) 65-78
23. Xiao L., Boyd S., and Kimb S.J. Distributed average consensus with least-mean-square deviation. J. Parallel Distr. Comput. 67 1 (2007) 33-46
24. P. Bliman, G. Ferrari-Trecate, Average consensus problems in networks of agents with delayed communications, in: Proceedings of IEEE Conference on Decision and Control, 2005, pp. 7066-7071
25. L. Fang, P.J. Antsaklis, Information consensus of asynchronous discrete-time multi-agent systems, in: Proceedings of the American Control Conference, 2005, pp. 1883-1888
26. M. Cao, A.S. Morse, B.D.O. Anderson, Agreeing asynchronously: Announcement of results, in: Proceedings of IEEE Conference on Decision and Control, 2006, pp. 4301-4306
27. M. Cao, A.S. Morse, B.D.O. Anderson, Reaching an agreement using delayed information, in: Proceedings of IEEE Conference on Decision and Control, 2006, pp. 3375-3380
28. Kim Y., and Mesbahi M. On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian. IEEE Trans. Automat. Control 51 1 (2007) 116-120
29. P. Lin, Y. Jia, J. Du, S. Yuan, Distributed consensus control for networks of second-order agents with fixed topology and time-delay, in: Proceedings of the Chinese Control Conference, 2007, pp. 2-577-2-581
30. Lin P., and Jia Y. Average-consensus in networks of multi-agents with both switching topology and coupling time-delay. Physica A 387 1 (2008) 303-313
31. P. Lin, Y. Jia, J. Du, S. Yuan, Distributed control of multi-agent systems with second-order agent dynamics and delay-dependent communications, Asian J. Control 10 (2) (2008) (in press)
32. Godsil C., and Royle G. Algebraic Graph Theory (2001), Springer-Verlag, New York
33. Horn R.A., and Johnson C.R. Matrix Analysis (1987), Cambridge Univ. Press, Cambridge
34. Dullerud G.E., and Paganini F. A Course in Robust Control Theory: A Convex Approach. Series in texts in applied mathematics vol. 36 (2000), Springer-Verlag, London
35. K.C. Goh, L. Turan, M.G. Safonov, G.P. Papavassilopoulos, J.H. Ly, Baffine matrix inequality properties and computational methods, in: Proceedings of the American Control Conference, 1994, pp. 850-855
36. S. Ibaraki, M. Tomizuka, Rank minimization approach for solving BMI problems with random search, in: Proceedings of the American Control Conference, 2001, pp. 1870-1875
37. Kanev S., Scherer C., Verhaegen M., and De Schutter B. Robust output-feedback controller design via local BMI optimization. Automatica 40 7 (2004) 1115-1127
38. Sastry S. Nonlinear Systems: Analysis, Stability, and Control (1999), Springer
39. Hale J. Theory of Functional Differential Equations (1977), Springer-Verlag, New York