Application of passification method to controlled synchronization of tree networks under information constraints

Proceedings of the IEEE International Conference on Control Applications

Volumn , Issue , 2009, Pages 513-518

  Fradkov, Alexander L ^a   Andrievsky, Boris ^a  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

Author keywords

Communication channel; Information constraints; Passification method; Synchronization

Indexed keywords

CHUA SYSTEM; COMMUNICATION CHANNEL; COMMUNICATION LINKS; CONTROLLED SYNCHRONIZATION; COUPLING SIGNALS; FIRST-ORDER; IN-NETWORK; INFORMATION CONSTRAINTS; LIMITED CAPACITY; LURIE SYSTEMS; MASTER-SLAVE; MINIMUM INFORMATION; NETWORK COMMUNICATIONS; NON-LINEARITY; PASSIFICATION; SYNCHRONIZATION ERROR; SYNCHRONIZATION PROBLEM; TREE NETWORK; UPPER AND LOWER BOUNDS;

CHANNEL CAPACITY; CIVIL AVIATION; COMMUNICATION; COMMUNICATION CHANNELS (INFORMATION THEORY);

SYNCHRONIZATION;

EID: 74249096410     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCA.2009.5281024     Document Type: Conference Paper

References (27)

1. X. F. Wang and G. Chen, "Complex networks: small-world, scale-free and beyond," IEEE Circuits Syst. Mag., vol. 3, no. 1, pp. 6-20, 2003.
2. J. Lu and G. Chen, "A time-varying complex dynamical network model and its controlled synchronization criteria," IEEE Trans. Automat. Contr., vol. 50, no. 6, pp. 841-846, June 2005.
3. V. N. Belykh, G. V. Osipov, N. Kucklander, B. Blasius, and J. Kurths, "Automatic control of phase synchronization in coupled complex oscillators," Physica D, vol. 200, pp. 81-104, 2005.
4. J. Zhou, J. Lu, and J. Lü, "Adaptive synchronization of an uncertain complex dynamical network," IEEE Trans. Automat. Contr., vol. 51, no. 4, pp. 652-656, Apr. 2006.
5. M. Zhan, J. Gao, Y. Wu, and J. Xiao, "Chaos synchronization in coupled systems by applying pinning control," Phys. Rev. E, vol. 76, p. 036203, 2007.
6. J. M. Cruz, A. Hernandez-Gomez, and P. Parmananda, "Control, synchronization, and replicability of aperiodic spike trains," Phys. Rev. E, vol. 75, p. 055202, 2007.
7. Q. Zhang, J. Lu, J. Lü, and C. K. Tse, "Adaptive feedback synchronization of a general complex dynamical network with delayed nodes," IEEE Trans. Circuits Syst. II, vol. 55, no. 2, pp. 183-187, Feb. 2008.
8. J. Zhou, J. Lu, and J. Lü, "Pinning adaptive synchronization of a general complex dynamical network," Automatica, vol. 44, no. 4, pp.996-1003, 2008.
9. A. S. Matveev and A. V. Savkin, "Decentralized stabilization of linear systems via limited capacity communication networks," in Proc. 44th IEEE Conference on Decision and Control. Sevilla, Spain: IEEE, Dec. 2005, pp. 1155-1161.
10. -, Estimation and Control over Communication Networks. Boston: Birkhäuser, 2008, (Series: Control Engineering).
11. A. L. Fradkov, B. Andrievsky, and R. J. Evans, "Chaotic observer-based synchronization under information constraints," Physical Review E, vol. 73, p. 066209, 2006.
12. -, "Adaptive observer-based synchronization of chaotic systems with first-order coder in presence of information constraints," IEEE Trans. Circuits Syst. I, vol. 55, no. 6, pp. 1685-1694, July 2008.
13. -, "Controlled synchronization under information constraints," Physical Review E, vol. 78, pp. 036 210 1-6, 2008.
14. A. L. Fradkov, B. Andrievsky, and R. J. Evans, "Synchronization of passifiable Lurie systems via limited-capacity communication channel," IEEE Trans. Circuits Syst. I, vol. 56, no. 2, pp. 430-439, Feb. 2009.
15. A. L. Fradkov, "Synthesis of an adaptive system for linear plant stabilization," Autom. Remote Control, vol. 35, no. 12, pp. 1960-1966, 1974.
16. A. L. Fradkov, I. V. Miroshnik, and V. O. Nikiforov, Nonlinear and Adaptive Control of Complex Systems. Dordrecht: Kluwer, 1999.
17. B. Andrievskii and A. L. Fradkov, "Method of passification in adaptive control, estimation, and synchronization," Autom. Remote Control, vol. 67, no. 11, pp. 1699-1731, 2006.
18. A. L. Fradkov, B. Andrievsky, and R. J. Evans, "Synhronization of nonlinear systems under information constraints," Chaos, vol. 18, no. 4, pp. 037 109, 1-11, 2008.
19. V. L. Syrmos, C. T. Abdallah, P. Dorato, and K. Grigoriadis, "Static output feedback: A survey," Automatica, vol. 33, no. 2, pp. 125-137, 1997.
20. J. D. Stefanovski and G. M. Dimirovski, "A new approach to static output feedback stabilization of linear dynamic systems," Int. J. Systems Sci., vol. 37, no. 9, pp. 643-662, 2006.
21. G. N. Nair and R. J. Evans, "Exponential stabilisability of finite-dimensional linear systems with limited data rates," Automatica, vol. 39, pp. 585-593, 2003.
22. R. W. Brockett and D. Liberzon, "Quantized feedback stabilization of linear systems," IEEE Trans. Automat. Contr., vol. 45, no. 7, pp. 1279-1289, 2000.
23. D. Liberzon, "Hybrid feedback stabilization of systems with quantized signals," Automatica, vol. 39, pp. 1543-1554, 2003.
24. S. Tatikonda and S. Mitter, "Control under communication constraints," IEEE Trans. Automat. Contr., vol. 49, no. 7, pp. 1056-1068, 2004.
25. D. J. Goodman and A. Gersho, "Theory of an adaptive quantizer," IEEE Trans. Commun., vol. COM-22, no. 8, pp. 1037-1045, Aug. 1974.
26. F. Gomez-Estern, C. Canudas de Wit, F. Rubio, and J. Fornés, "Adaptive delta-modulation coding for networked controlled systems," in Proc. Amer. Contr. Conf., N.Y., USA, July 11-13, 2007, frA20.6.
27. D. Efimov and A. Fradkov, "Adaptive tuning to bifurcation for time-varying nonlinear systems," Automatica, vol. 42, pp. 417-425, 2006.