Leader-following consensus of multiple linear systems under switching topologies: An averaging method

Kybernetika

Volumn 48, Issue 6, 2012, Pages 1194-1210

  Ni, Wei ^a   Wang, Xiaoli ^b   Xiong, Chun ^a  

^a NANCHANG UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Averaging method; Consensus; Multi agent systems

Indexed keywords

EID: 84871834662     PISSN: 00235954     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. D. Aeyels and J. Peuteman: On xponential stability of nonlinear time-varying differential equations. Automatica 35 (1999), 1091-1100.
2. R. Bellman, J. Bentsman, and S. M. Meerkov: Stability of fast periodic systems. IEEE Trans. Automat. Control 30 (1985), 289-291.
3. N. N. Bogoliubov and Y.A. Mitropolsky: Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach, New York 1961.
4. D. Cheng, J. H. Wang, and X. Hu: An extension of LaSalle's invariance principle and its application to multi-agent consensus. IEEE Trans. Automat. Control 53 (2008), 1765-1770.
5. Y. Hong, L. Gao, D. Cheng, and J. Hu: Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Trans. Automat. Control 52 (2007), 943-948. (Pubitemid 46796085)
6. Y. Hong, J. Hu, and L. Gao: Tracking control for multiagent consensus with an active leader and variable topology. Automatica 42 (2006), 1177-1182. (Pubitemid 43767488)
7. R. Horn and C. Johnson: Matrix Analysis. Cambridge University Press, New York 1985.
8. A. Jadbabaie, J. Lin, and A. S. Morse: Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Automat. Control 48 (2003), 943-948.
9. S. Khoo, L. Xie, Z. Man, and S. Zhao: Observer-based robust finite-time cooperative consensus control for multi-agent networks. In: Proc. 4th IEEE Conference on Industrial Electronics and Applications, Xi'an 2009, pp. 1883-1888.
10. R. L. Kosut, B. D. O. Anderson, and I. M. Y. Mareels: Stability theory for adaptive systems: method of averaging and persistency of excitation. IEEE Trans. Automat. Control 32 (1987), 26-34.
11. M. A. Krasnosel'skii and S. G. Krein: On The Averaging Principle in Nonlinear Mechanics. Uspekhi Matem Nauk, 1955.
12. N. Krylov and N. Bogoliubov: Introduction to Non-Linear Mechnnics. Princeton University Press, Princeton 1949.
13. ∞approach. In: Proc. American Control Conference, St. Louis 2009, pp. 4470-4475.
14. T. Namerikawa and C. Yoshioka: Consensus control of observer-based multi-agent system with communication delay. In: Proc. SICE Annual Conference, Tokyo 2008, pp. 2414-2419.
15. W. Ni and D. Cheng: Leader-following consensus of multi-agent systems under fixed and switching topologies. Systems Control Lett. 59 (2010), 209-217.
16. R. Olfati-Saber and R. M. Murray: Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Automat. Control 49 (2004), 1520-1533.
17. R. Olfati-Saber, J.A. Fax, and R. M. Murray: Consensus and cooperation in networked multi-agent systems. Proc. IEEE 95 (2007), 215-233.
18. W. Ren and R. W. Beard: Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Trans. Automat. Control 50 (2005), 655-661. (Pubitemid 40784437)
19. W. Ren, R. W. Beard, and E. Atkins: Information consensus in multivehicle cooperative control. IEEE Control Syst. Mag. 27 (2007), 71-82. (Pubitemid 46562979)
20. J. A. Sanders, F. Verhulst, and J. Murdock: Averaging Methods in Nonlinear Dynamical Systems. Second edition. Springer, New York 2007.
21. J. H. Seo, H. Shima, and J. Back: Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach. Automatica 45 (2009), 2659-2664.
22. L. Scardovi and R. Sepulchre: Synchronization in networks of identical linear systems. Automatica 45 (2009), 2557-2562.
23. D. J. Stilwell, E. M. Bellt, and D.G. Roberson: Sufficient conditions for fast switching sysnchronization in time-varying network topologies. SIAM J. Appl. Dynam. Syst. 5 (2006), 140-157.
24. A. R. Teel and D. Nesic: Averaging for a class of hybrid systems. Dynamics Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 17 (2010), 829-851.
25. J. Wang, D. Cheng, and X. Hu: Consensus of multi-agent linear dynamical systems. Asian J. Control 10 (2008), 144-155.
26. X. Wang and Y. Hong: Parametrization and geometric analysis of coordination controllers for multi-agent systems. Kybernetika 45 (2009), 785-800.
27. X. Wang, Y. Hong, J. Huang, and Z. Jiang: A distributed control approach to a robust output regulation problem for multi-agent linear systems. IEEE Trans. Automat. Control 55 (2010), 2891-2895.
28. X. Wang and F. Han: Robust coordination control of switching multi-agent systems via output regulation approach. Kybernetika 47 (2011), 755-772.
29. C. Yoshioka and T. Namerikawa: Observer-based consensus control strategy for multiagent system with communication time delay. In: Proc. 17th IEEE International Conference on Control Applications, San Antonio 2008, pp. 1037-1042.
30. H. Zhang, F. L. Lewis, and A. Das: Optimal design for synchronization of cooperative systems: state feedback, observer and output feedback. IEEE Trans. Automat. Control 56 (2011), 1948-1952.