Coordination of discrete-time multi-agent systems via relative output feedback

International Journal of Robust and Nonlinear Control

Volumn 21, Issue 13, 2011, Pages 1587-1605

  You, Keyou ^a   Xie, Lihua ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

communication graphs; consensusability; eigenratio; formation ability; leader follower; multi agent systems

Indexed keywords

COMMUNICATION GRAPHS; CONSENSUSABILITY; EIGENRATIO; FORMATION-ABILITY; LEADER-FOLLOWER;

DISCRETE TIME CONTROL SYSTEMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; ELECTRIC NETWORK TOPOLOGY; INTELLIGENT AGENTS;

MULTI AGENT SYSTEMS;

EID: 79960487630     PISSN: 10498923     EISSN: 10991239     Source Type: Journal    
DOI: 10.1002/rnc.1659     Document Type: Article

References (34)

1. Antsaklis P, Baillieul J,. Special issue on technology of networked control systems. Proceedings of the IEEE 2007; 95 (1): 5-8.
2. Fax J, Murray R,. Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control 2004; 49 (9): 1465-1476.
3. Cortés J, Bullo F,. Coordination and geometric optimization via distributed dynamical systems. SIAM Journal on Control and Optimization 2006; 44 (5): 1543-1574. (Pubitemid 44433976)
4. Olfati-Saber R, Murray R,. Flocking with obstacle avoidance: cooperation with limited communication in mobile networks. Proceedings of the 42nd IEEE Conference on Decision and Control, Hawaii, U.S.A., vol. 2, December 2003; 2022-2028.
5. Lynch N,. Distributed Algorithms. Morgan Kaufmann: Los Altos, CA, 1996.
6. Barahona M, Pecora LM,. Synchronization in small-world systems. Physical Review letters 2002; 89 (5): 054-101.
7. Duan Z, Chen G, Huang L,. Complex network synchronizability: analysis and control. Physical Review E 2007; 76 (5): 56-103.
8. Olfati-Saber R, Murray R,. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 2004; 49 (9): 1520-1533.
9. Ren W, Beard R,. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control 2005; 50 (5): 655-661. (Pubitemid 40784437)
10. Jadbabaie A, Lin J, Morse A,. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control 2003; 48 (6): 988-1001.
11. Li T, Zhang J,. Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises. IEEE Transactions on Automatic Control 2010; 55 (9): 2043-2057.
12. Olfati-Saber R, Fax J, Murray R,. Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE 2007; 95 (1): 2043-2057.
13. Ma C, Zhang J,. Necessary and sufficient conditions for consensusability of linear multi-agent systems. IEEE Transactions on Automatic Control 2010; 55 (5): 1263-1268.
14. You K, Xie L,. Network topology and communication data rate for consensusability of discrete-time multi-agent systems. IEEE Transactions on Automatic Control 2010; submitted.
15. Minero P, Franceschetti M, Dey S, Nair G,. Data rate theorem for stabilization over time-varying feedback channels. IEEE Transactions on Automatic Control 2009; 54 (2): 243-255.
16. Carli R, Chiuso A, Schenato L, Zampieri S, Padova I, Vicenza I,. A PI consensus controller for networked clocks synchronization. 17th IFAC World Congress, Seoul, Korea, 2008.
17. Barooah P, Hespanha J,. Estimation on graphs from relative measurements. IEEE Control Systems Magazine 2007; 27 (4): 57-74. (Pubitemid 47225416)
18. Scardovi L, Sepulchre R,. Synchronization in networks of identical linear systems. Automatica 2009; 45 (11): 2557-2562.
19. Seo J, Shim H, Back J,. Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach. Automatica 2009; 45 (11): 2659-2664.
20. Antsaklis P, Michel A,. Linear Systems. Birkhauser: Basel, 2006.
21. Hong Y, Chen G, Bushnell L,. Distributed observers design for leader-following control of multi-agent networks. Automatica 2008; 44 (3): 846-850. (Pubitemid 351273695)
22. Cao Y, Ren W, Li Y,. Distributed discrete-time coordinated tracking with a time-varying reference state and limited communication. Automatica 2009; 45 (5): 1299-1305.
23. Ni W, Cheng D,. Leader-following consensus of multi-agent systems under fixed and switching topologies. Systems and Control Letters 2010; 59 (3-4): 209-217.
24. Lee D, Spong M,. Stable flocking of multiple inertial agents on balanced graphs. IEEE Transactions on Automatic Control 2007; 52 (8): 1469-1475. (Pubitemid 47316695)
25. Horn R, Johnson C,. Matrix Analysis. Cambridge University Press: Cambridge, 1985.
26. Boyd S, El Ghaoui L, Feron E, Balakrishnan V,. Linear Matrix Inequalities in System and Control Theory. Society for Industrial Mathematics: Philadelphia, U.S.A., 1994.
27. Li T, Fu M, Xie L, Zhang J,. Distributed consensus with limited communication data rate. IEEE Transactions on Automatic Control 2010; DOI: 10.1109/TAC.2010.20522384.
28. Kar S, Aldosari S, Moura J,. Topology for distributed inference on graphs. IEEE Transactions on Signal Processing 2008; 56 (6): 2609-2613. (Pubitemid 351795911)
29. Fiedler M,. Algebraic connectivity of graphs. Czechoslovak Mathematical Journal 1973; 23 (2): 298-305.
30. Fu M, Xie L,. The sector bound approach to quantized feedback control. IEEE Transactions on Automatic Control 2005; 50 (11): 1698-1711. (Pubitemid 41748866)
31. You K, Xie L,. Minimum data rate for mean square stabilization of discrete LTI systems over lossy channels. IEEE Transactions on Automatic Control 2010; DOI: 10.1109/TAC.2010.2054890.
32. You K, Su W, Fu M, Xie L,. Attainability of the minimum data rate for stabilization of linear systems via logarithmic quantization. Automatica 2010; accepted.
33. You K, Xie L,. Minimum data rate for mean square stabilizability of linear systems with Markovian packet losses. IEEE Transactions on Automatic Control 2010; DOI: 10.1109/TAC.2010.2068590.
34. Solo V,. One step ahead adaptive controller with slowly time-varying parameters. Technical Report, Department of ECE, John Hopkins University, Baltimore, 1991.