Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input

Chaos, Solitons and Fractals

Volumn 35, Issue 1, 2008, Pages 181-187

  Hung, Meei Ling ^a,c   Yan, Jun Juh ^b   Liao, Teh Lu ^c  

^a FAR EAST UNIVERSITY   (Taiwan)

^b SHU TE UNIVERSITY   (Taiwan)

^c NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; NONLINEAR ANALYSIS; NUMERICAL METHODS; SYNCHRONIZATION;

DEAD ZONE INPUT; MODE CONTROL TECHNIQUE;

CHAOTIC SYSTEMS;

EID: 34548535118     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2006.05.050     Document Type: Article

References (23)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
2. Yang T., and Chua L.O. Secure communication via chaotic parameter modulation. IEEE Trans Circ Syst I 43 (1996) 817-819
3. Liao T.L., and Tsai S.H. Adaptive synchronization of chaotic systems and its application to secure communications. Chaos, Solitons & Fractals 11 (2000) 1387-1396
4. Feki M. An adaptive chaos synchronization scheme applied to secure communication. Chaos, Solitons & Fractals 18 (2003) 141-148
5. Chen M., Zhou D., and Shang Y. A new observer-based synchronization scheme for private communication. Chaos, Solitons & Fractals 24 (2005) 1025-1030
6. Lo S.C., and Cho H.J. Chaos and control of discrete dynamic traffic model. J Franklin Inst 342 (2005) 839-851
7. Schmitz R. Use of chaotic dynamical systems in cryptography. J Franklin Inst 338 (2001) 429-441
8. Wang C., and Ge S.S. Synchronization of two uncertain chaotic systems via adaptive backstepping. Int J Bifurcat Chaos 11 (2001) 1743-1751
9. Jang M.J., Chen C.C., and Chen C.O. Sliding mode control of chaos in the cubic Chua's circuit system. Int J Bifurcat Chaos 12 (2002) 1437-1449
10. Yau H.T. Design of adaptive sliding mode controller for chaos synchronization with uncertainties. Chaos, Solitons & Fractals 22 (2004) 341-347
11. Tian Y.P., and Yu X. Stabilization unstable periodic orbits of chaotic systems via an optimal principle. J Franklin Inst 337 (2000) 771-779
12. Guo S.M., Shieh L.S., Chen G., and Lin C.F. Effective chaotic orbit tracker: a prediction-based digital redesign approach. IEEE Trans Circ Syst I 47 (2000) 1557-1560
13. Zhang J., Li C., Zhang H., and Yu J. Chaos synchronization using single variable feedback based on backstepping method. Chaos, Solitons & Fractals 21 (2004) 1183-1193
14. Xu D., and Li Z. Manipulating the scaling factor of projective synchronization in three-dimensional chaotic systems. Chaos 11 (2001) 439-442
15. Chee C.Y., and Xu D. Control of the formation of projective synchronisation in lower-dimensional discrete-time systems. Phys Lett A 318 (2003) 112-118
16. Chen H.K. Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping. J Sound Vib 255 (2002) 719-740
17. Ge Z.M., and Chen H.K. Bifurcations and chaos in a rate gyro with harmonic excitation. J Sound Vib 194 (1996) 107-117
18. Lei Y., Xu W., and Zheng H. Synchronization of two chaotic nonlinear gyros using active control. Phys Lett A 343 (2005) 153-158
19. Tong X., and Mrad N. Chaotic motion of a symmetric gyro subjected to a harmonic base excitation. Transactions of American Society of Mechanical Engineers. J Appl Mech 68 (2001) 681-684
20. Dooren R.V. Comments on Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping. J Sound Vib 268 (2003) 632-634
21. Hsu K.C. Adaptive variable structure control design for uncertain time-delay system with nonlinear input. Dynam Control 8 (1998) 341-354
22. Itkis U. Control system of variable structure (1976), Wiley, New York
23. Utkin V.I. Sliding mode and their applications in variable structure systems (1978), Mir Editors, Moscow