Browse > Article
http://dx.doi.org/10.5370/KIEE.2012.61.4.617

Synchronization of Chaos Systems via Sampled-Data Control  

Lee, Tae-H. (영남대 공대 전기공학과)
Park, Ju-H. (영남대학교 전기공학과)
Kwon, O.M. (충북대학교 전기공학과)
Lee, S.M. (대구대학교 전자공학부)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.61, no.4, 2012 , pp. 617-621 More about this Journal
Abstract
This paper considers the synchronization problem of chaotic systems. For this problem, the sampled-data control approach is used to achieve asymptotic synchronization of two identical chaotic systems. Based on Lyapunov stability theory, a new stability condition is obtained via linear matrix inequality formulation to find the sampled-data feedback controller which achieves the synchronization between chaotic systems. Finally, the proposed method is applied to a numerical example in order to show the effectiveness of our results.
Keywords
Chaotic system; Synchronization; Sampled-data control;
Citations & Related Records
연도 인용수 순위
  • Reference
1 J.J. Yan, M. L. Hung, T.L. Liao, "Adaptive sliding model control for synchronization of chaotic gyro with fully unknown parameters," J. Sound Vib. vol. 298, pp.298-306, 2006.   DOI   ScienceOn
2 김재훈, 신현석, 김은태, 박민용, "시간지연과 입력 포화를 갖는 TS 퍼지 카오스 시스템의 동기화," 전자공학회논문지 SC편 42권 1호, pp.13-21, 2005.
3 Y. Mikheev, V. Sobolev, E. Fridman, "Asymptotic analysis of digital control systems," Autom. Remote Cont. vol. 49 pp.1175-1180, 1988.
4 K. Astrom, B. Wittenmark, Adaptive control, MA: Addison-Wesley, Reading, 1989.
5 E. Fridman, U. Shaked, V. Suplin, "Input/output delay approach to robust sampled-data $H_{\infty}$ control," Syst. Cont. Lett. vol. 54, pp.271-282, 2005.   DOI   ScienceOn
6 H.K. Lam, W.K. Ling, "Sampled-data fuzzy controller for continuous nonlinear systems," IET Cont. Theo. Appl. vol. 2, pp.32-39, 2008.   DOI   ScienceOn
7 D.H. Ji, et al. "Synchronization criterion for Lur'e type complex dynamical networks with time-varying delay," Phys. Lett. A, vol. 374. pp.1218-1227. 2010.   DOI   ScienceOn
8 K. Gu, V.K. Kharitonov and J. Chen, Stability of time-delay systems, Boston: Birkhauser, 2003.
9 L.M. Pecora, T.L. Carroll, " Synchronization in chaotic systems," Phys. Rev. Lett. vol. 64 pp.821-824, 1990.   DOI   ScienceOn
10 U.E. Vincent, "Synchronization of Rikitake chaotic attractor using active control," Phys. Lett. A. vol. 343, pp.133-138, 2005.   DOI   ScienceOn
11 S. Oancea, F. Grosu, A. Lazar, I. Grosu, "Master-slave synchronization of Lorenz systems using a single controller," Chaos, Solitons Fractals, vol. 41, pp.2575-2580, 2009.   DOI   ScienceOn
12 T.H. Lee, Ju H. Park, "Design of feedback controller for functional projective synchronization of chaotic systems with disturbances," Int. Jour. of the Physical Sciences vol. 5, pp.439-446, 2010.
13 T.H. Lee, Ju H. Park, "Adaptive functional projective lag synchronization of a hyperchaotic Rossler system," Chin. Phys. Lett. vol. 26, 090507, 2009.   DOI   ScienceOn
14 M.S. Tavazoei, M. Haeri, "Synchronization of chaotic fractional-order systems via active sliding mode controller," Physica A, vol. 387, pp.57-70, 2008.   DOI   ScienceOn