Output-feedback synchronization of chaotic systems based on sum-of-squares approach

Chaos, Solitons and Fractals

Volumn 41, Issue 5, 2009, Pages 2624-2629

  Lam, H K ^a  

^a KING'S COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; CONTROLLERS; GENETIC ALGORITHMS; POLYNOMIALS; STATE FEEDBACK;

CONTROLLER DESIGNS; CONTROLLER SYNTHESIS; FULL STATE FEEDBACK CONTROL SCHEME; LYAPUNOV STABILITY THEORY; OUTPUT FEEDBACK; SIMULATION EXAMPLE; STABILITY CONDITION; SUM OF SQUARES;

SYSTEM STABILITY;

EID: 67649308748     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.09.043     Document Type: Article

References (24)

1. Chen G., and Dong X. From Chaos to order: methodologies perspectives and applications (1988), World Scientific, Singapore
2. Ushio T. Control of chaotic synchronization in composite systems with applications to secure communication systems. IEEE Trans Circuits Sys I Fundam Appl 43 6 (1996) 500-503
3. Huang L., Feng R., and Wang M. Synchronization of chaotic systems via nonlinear control. Phys Lett A 320 (2004) 271-275
4. Park J.H. Controlling chaotic systems via nonlinear feedback control. Chaos, Solitons & Fractals 23 3 (2005) 1049-1054
5. Zhang Q., and Lu J. Chaos synchronization of a new chaotic systems via nonlinear control. Chaos, Solitons & Fractals 37 1 (2008) 175-179
6. Bai E.W., and Lonngren K.E. Sequential synchronization of two Lorenz systems using active control. Chaos, Solitons & Fractals 11 7 (2000) 1041-1044
7. Agiza H.N., and Yassen M.T. Synchronization of Rossler and Chen chaotic dynamical systems using active control. Phys Lett A 278 4 (2001) 191-197
8. Tanaka K., Ikeda T., and Wang H.O. A unified approach to controlling chaos via an LMI-based fuzzy control system design. IEEE Trans Circuits Sys I Fundam Appl 45 10 (1998) 1021-1040
9. Lian K.Y., Liu P., Wu T.C., and Lin W.C. Chaotic control using fuzzy model-based methods. Int J Bifurcation Chaos 12 8 (2002) 1827-1841
10. Wang Y.W., Guan Z.H., and Wang H.O. LMI-based fuzzy stability and synchronization of Chen's system. Phys Lett A 320 2-3 (2003) 154-159
11. Yau H.T., and Shieh C.S. Chaos synchronization using fuzzy logic controller. Nonlinear Anal Real World Appl (2007) June
12. Zheng Y., and Chen G. Fuzzy impulsive control of chaotic systems based on TS fuzzy model. Chaos, Solitons & Fractals (2007) July
13. Lu J.G., and Hill D.J. Impulsive synchronization of chaotic Lur'e systems by linear static measurement feedback: An LMI approach. IEEE Trans Circuits Sys II Expr Briefs 54 8 (2007) 710-714
14. Millerioux G., and Daafouz J. An observer-based approach for input-independent global chaos synchronization of discrete-time switched systems. IEEE Trans Circuits Sys I Fundam Appl 50 10 (2003) 1270-1279
15. Jiang G.P., Zheng W.X., Tang W.K.S., and Chen G. Integral-observer-based chaos synchronization. IEEE Trans Circuits Sys II Expr Briefs 53 2 (2006) 111-114
16. Feki M. An adaptive feedback control of linearizable chaotic systems. Chaos Solitons & Fractals 15 5 (2003) 883-890
17. Jiang W., Dong Q.G., and Bin D. Observer-based robust adaptive variable universe fuzzy control for chaotic system. Chaos Solitons & Fractals 23 3 (2005) 1013-1032
18. Wang Y.W., Wen C., Yang M., and Xiao J.W. Adaptive control and synchronization for chaotic systems with parametric uncertainties. Phys Lett A 372 14 (2008) 2409-2414
19. Ting C.S. An observer-based approach to controlling time-delay chaotic systems via Takagi-Sugeno fuzzy model. Info Sci 177 20 (2007) 4314-4328
20. Lam H.K., Ling W.K., Iu H.H.C., and Ling S.H. Synchronization of chaotic systems using time-delayed fuzzy state-feedback controller. IEEE Trans Circuits Sys I Fundam Theory Appl 55 3 (2008) 893-903
21. Prajna S, Papachristodoulou A, Parrilo PA, Introducing SOSTOOLS: a general purpose sum of squares programming solver. In: Proceedings of the 41st IEEE conference on decision and control, vol. 1, December 2002, p. 741-46.
22. Michalewicz Z. Genetic algorithm + data structures = evolution programs. second extended ed. (1994), Springer-Verlag
23. Ott E., Grebogi N., and Yorke J. Controlling chaos. Phys Rev Lett 64 10 (1990) 1196-1199
24. Shinbrot T., Ott E., Grebogi N., and Yorke J. Using chaos to direct trajectories to targets. Phys Rev Lett 65 (1990) 3215-3218