PapersNo Access

SYNCHRONIZATION CRITERIA FOR LUR'E SYSTEMS BY DYNAMIC OUTPUT FEEDBACK WITH TIME-DELAY

XIA HUANG

Department of Mathematics, Southeast University, Nanjing 210096, P. R. China

Search for more papers by this author

JINDE CAO

Department of Mathematics, Southeast University, Nanjing 210096, P. R. China

Search for more papers by this author

, and

DANIEL W. C. HO

Department of Mathematics, City University of Hong Kong, Hong Kong, China

Search for more papers by this author

https://doi.org/10.1142/S0218127406016069Cited by:26 (Source: Crossref)

Abstract

In this paper a master-slave synchronization scheme is investigated by exploiting a dynamic output feedback control mechanism with time-delay and the influences of time-delay on synchronization are studied. Several new sufficient conditions, which are delay-independent or delay-dependent ones, are presented based on a general class of Lyapunov functions. The obtained results, expressed as matrix inequalities improve and generalize the earlier work in the literature and are readily verified via LMI control toolbox without tuning of parameters and/or matrices. The designs of the controller are implemented by solving a constrained nonlinear optimization problem. Finally, we illustrate our results on Chua's circuits and hyperchaotic attractors.

This work was jointly supported by the National Natural Science Foundation of China under Grant 60574043, the Natural Science Foundation of Jiangsu Province of China under Grant BK2006093, and the Foundation for Excellent Doctoral Dissertation of Southeast University YBJJ0522.

Keywords:

References

R. Brown and L. Kocarev, Chaos 10, 344 (2000), DOI: 10.1063/1.166500. Crossref, Web of Science, Google Scholar
J. Cao, H. X. Li and Daniel W. C. Ho, Chaos Solit. Fract. 23, 787 (2005). Web of Science, Google Scholar
G. Chen and X. Dong , From Chaos to Order-Perspectives, Methodologies, and Applications ( World Scientific , Singapore , 1998 ) . Crossref, Google Scholar
H. F. Chen and J. M. Liu, IEEE J. Quant. Electron. 36, 27 (2000), DOI: 10.1109/3.817635. Crossref, Web of Science, Google Scholar
P. F. Curran and L. O. Chua, Int. J. Bifurcation and Chaos 7, 1375 (1997), DOI: 10.1142/S0218127497001096. Link, Web of Science, Google Scholar
P. F. Curran, J. A. K. Suykens and L. O. Chua, Int. J. Bifurcation and Chaos 7, 2891 (1997), DOI: 10.1142/S0218127497001977. Link, Web of Science, Google Scholar
M. Hasler, Y. Maistrenko and O. Popovich, Phys. Rev. E 58, 6843 (1998), DOI: 10.1103/PhysRevE.58.6843. Crossref, Web of Science, Google Scholar
L. Kocarev and U. Parlitz, Phys. Rev. Lett. 76, 1816 (1996), DOI: 10.1103/PhysRevLett.76.1816. Crossref, Web of Science, Google Scholar
R. Koikeet al., Synchronization of two chaotic circuits coupled by delay line, Proc. Europ. Conf. Circuits Theory and Design (ECCTD'97)3 (1997) pp. 1280–1285. Google Scholar
X. X. Liao and G. Chen, Int. J. Bifurcation and Chaos 13, 207 (2003), DOI: 10.1142/S0218127403006455. Link, Web of Science, Google Scholar
X. X. Liao and G. Chen, Int. J. Syst. Sci. 34, 453 (2003), DOI: 10.1080/00207720310001614079. Crossref, Web of Science, Google Scholar
M. S. Mahmoud , Robust Control and Filtering for Time-Delay Systems ( Marcel Dekker , 2000 ) . Crossref, Google Scholar
L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1991), DOI: 10.1103/PhysRevLett.64.821. Crossref, Web of Science, Google Scholar
E. N. Sanchez and J. P. Perez, IEEE Trans. Circuits Syst.-I 46, 1395 (1999), DOI: 10.1109/81.802844. Crossref, Web of Science, Google Scholar
J. A. K. Suykens and J. Vandewalle, Int. J. Bifurcation and Chaos 7, 665 (1997), DOI: 10.1142/S0218127497000455. Link, Web of Science, Google Scholar
J. A. K. Suykens, P. F. Curran and L. O. Chua, Int. J. Bifurcation and Chaos 7, 671 (1997), DOI: 10.1142/S0218127497000467. Link, Web of Science, Google Scholar
J. A. K. Suykenset al., IEEE Trans. Circuits Syst.-I 44, 1089 (1997), DOI: 10.1109/81.641776. Crossref, Web of Science, Google Scholar
J. A. K. Suykens, A. Huang and L. O. Chua, Archiv für Elektronik und Ubertragungstechnik 51, 131 (1997). Google Scholar
J. A. K. Suykens, J. Vandewalle and L. O. Chua, Int. J. Bifurcation and Chaos 7, 1323 (1997), DOI: 10.1142/S0218127497001059. Link, Web of Science, Google Scholar
J. A. K. Suykens, J. Vandewalle and B. De Moor, IEEE Trans. Circuits Syst.-I: Fund. Th. Appl. 45, 1007 (1998), DOI: 10.1109/81.721270. Crossref, Web of Science, Google Scholar
J. A. K. Suykens, T. Yang and L. O. Chua, Int. J. Bifurcation and Chaos 8, 1371 (1998), DOI: 10.1142/S0218127498001078. Link, Web of Science, Google Scholar
J. A. K. Suykens, P. F. Curran and L. O. Chua, IEEE Trans. Circuits Syst.-I: Fund. Th. Appl. 46, 841 (1999), DOI: 10.1109/81.774230. Crossref, Web of Science, Google Scholar
C. W. Wu and L. O. Chua, Int. J. Bifurcation and Chaos 4, 979 (1994), DOI: 10.1142/S0218127494000691. Link, Web of Science, Google Scholar
M. Wuet al., Automatica 40, 1435 (2004), DOI: 10.1016/j.automatica.2004.03.004. Crossref, Web of Science, Google Scholar
M. E. Yalcin, J. A. K. Suykens and J. Vandewalle, IEEE Trans. Circuits Syst.-I: Fund. Th. Appl. 47, 425 (2000), DOI: 10.1109/81.841929. Crossref, Web of Science, Google Scholar
M. E. Yalcin, J. A. K. Suykens and J. Vandewalle, Int. J. Bifurcation and Chaos 11, 1707 (2001), DOI: 10.1142/S021812740100295X. Link, Web of Science, Google Scholar