Synchronization of discrete-time multi-agent systems on graphs using Riccati design

Automatica

Volumn 49, Issue 2, 2013, Pages 414-423

  Hengster Movric, Kristian ^a   You, Keyou ^b   Lewis, Frank L ^a   Xie, Lihua ^c  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

^b TSINGHUA UNIVERSITY   (China)

^c NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Cooperative control systems; Decentralized control; Discrete time synchronizing region; Multi agent systems; Riccati equation; Synchronization

Indexed keywords

CIRCULAR REGION; CO-OPERATIVE CONTROL; COMMUNICATION GRAPHS; COMPLEX PLANES; DESIGN METHOD; DISCRETE TIME SYSTEM; DISCRETE-TIME SYNCHRONIZING REGION; EIGENVALUES; GRAPH EIGENVALUES; GRAPH LAPLACIAN; GRAPH PROPERTIES; LOCAL CONTROL; MULTI AGENT SYSTEM (MAS); RICCATI INEQUALITY; RICCATI SOLUTIONS; SYNCHRONIZATION CONTROL; SYNCHRONIZATION CONTROLLERS;

DECENTRALIZED CONTROL; DESIGN; DIGITAL CONTROL SYSTEMS; DIRECTED GRAPHS; DISCRETE TIME CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; MULTI AGENT SYSTEMS; RICCATI EQUATIONS;

SYNCHRONIZATION;

EID: 84872022516     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.11.038     Document Type: Article

References (23)

1. J. Baillieul, and P.J. Antsaklis Control and communication challenges in networked real-time systems (invited paper) Proceedings of IEEE 95 1 2007 9 28
2. Z. Duan, G. Chen, and L. Huang Disconnected synchronized regions of complex dynamical networks IEEE Transactions on Automatic Control 54 4 2009 845 849
3. N. Elia, and S.K. Mitter Stabilization of linear systems with limited information IEEE Transactions on Automatic Control 46 9 2001 1384 1400
4. J.A. Fax, and R.M. Murray Information flow and cooperative control of vehicle formations IEEE Transactions on Automatic Control 49 9 2004 1465 1476
5. M. Fu, and L. Xie The sector bound approach to quantized feedback control IEEE Transactions on Automatic Control 50 11 2005 1698 1711
6. A. Jadbabaie, J. Lin, and A. Morse Coordination of groups of mobile autonomous agents using nearest neighbour rules IEEE Transactions on Automatic Control 48 6 2003 988 1001
7. S. Khoo, L. Xie, and Z. Man Robust finite-time consensus tracking algorithm for multirobot systems IEEE/ASME Transactions on Mechatronics 14 2 2009 219 228
8. Z. Li, Z. Duan, and G. Chen Consensus of discrete-time linear multi-agent systems with observer-type protocols Discrete And Continuous Dynamical Systems, Series B 16 2 2011 489 505
9. Z. Li, Z. Duan, G. Chen, and L. Huang Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint IEEE Transactions on Circuits and Systems I, Regular Papers 57 1 2010 213 224
10. R.O. Olfati-Saber, J.A. Fax, and R. Murray Consensus and cooperation in networked multi-agent systems (invited paper) Proceedings of the IEEE 95 1 2007 215 233
11. Olfati-Saber, R.; Murray, R.M. (2003). Consensus protocols for networks of dynamic agents. In Proceedings of American control conference (pp. 951-956).
12. R. Olfati-Saber, and R.M. Murray Consensus problems in networks of agents with switching topology and time-delays IEEE Transactions on Automatic Control 49 9 2004 1520 1533
13. L.M. Pecora, and T.L. Carroll Master stability functions for synchronized coupled systems Physical Review Letters 80 10 1998 2109 2112
14. W. Ren, and R.W. Beard Consensus seeking in multiagent systems under dynamically changing interaction topologies IEEE Transactions on Automatic Control 50 2005 655 661
15. L. Schenato, B. Sinopoli, M. Franceschetti, K. Poolla, and S. Sastry Foundations of control and estimation over lossy networks Proceedings of the IEEE 91 1 2007 163 187
16. E.D. Sontag Mathematical control theory 1998 Springer New York
17. Tsitsiklis, J. (1984). Problems in decentralized decision making and computation. Ph.D. dissertation, Dept. Elect. Eng. and Comput. Sci.; MIT, Cambridge, MA.
18. Tuna, S.E. (2008). LQR-based coupling gain for synchronization of linear systems. arXiv:0801.3390v1 [math.OC].
19. X.F. Wang, and G. Chen Pinning control of scale free dynamical networks Physica A 310 2002 521 531
20. Xiao, N.; Xie, L.; Qiu, L. (2009). Mean square stabilization of multi-input systems over stochastic multiplicative channels, In Proc. Joint 48th IEEE conference on decision and control and 28th Chinese control conference (pp. 6893-6898). China.
21. K. You, and L. Xie Network topology and communication data rate for consensusability of discrete-time multi-agent systems IEEE Transactions on Automatic Control 56 10 2011 2262 2275
22. You, K.; Xie, L. (2011b). Consensusability of Discrete-time Multi-agent Systems over Directed Graphs, In Proc. 30th Chinese control conference (pp. 6413-6418). Yantai, China.
23. H. Zhang, and F.L. Lewis Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback IEEE Transactions on Automatic Control 56 8 2011 1948 1953