Adaptive synchronization for a unified chaotic system with uncertainty

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 10, 2010, Pages 3015-3021

  Li, Wenlin ^a   Liu, Zhenhong ^a   Miao, Jing ^a  

^a HENAN NORMAL UNIVERSITY   (China)

Author keywords

Synchronization; Uncertainty; Unified chaotic system; Variable structure control

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; CHAOTIC SYSTEMS; CONTROLLERS; VARIABLE STRUCTURE CONTROL;

ADAPTIVE CONTROLLERS; ADAPTIVE SYNCHRONIZATIONS; DERIVATIVE INFORMATION; DIGITAL SIMULATION; LORENZ SYSTEM; NOISE PERTURBATION; TIME VARYING; UNCERTAINTY; UNIFIED CHAOTIC SYSTEMS;

SYNCHRONIZATION;

EID: 77950863997     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.11.002     Document Type: Article

References (20)

1. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
2. Ruan J., and Li L.J. An improved method in synchronization of chaotic systems. Commun Nonlinear Sci Numer Simul 3 3 (1998) 140-143
3. Wang H., Han Z.Z., Zhang W., and Xie Q.Y. Finite-time chaos synchronization of unified chaotic system with uncertain parameters. Commun Nonlinear Sci Numer Simul 14 (2009) 2239-2247
4. Lin J.S., and Yan J.J. Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. Nonlinear Anal RWA 10 (2009) 1151-1159
5. Wang C., and Ge S.S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos Solitons Fractals 12 (2001) 1199-1206
6. Lü J., Chen G., Cheng D.Z., and Celikovsky S. Bridge the gap between the Lorenz system and Chen system. Int J Bifurcat Chaos 12 12 (2002) 1319-1325
7. Yassen M. Controlling chaos and synchronization for new chaotic systems using active control. Chaos Solitons Fractals 23 (2005) 131-140
8. Yu Y., and Zhang S. Controlling uncertain Lü system using backstepping design. Chaos Solitons Fractals 15 (2003) 897-902
9. Hu M., Yang Y., and Xu Z. Impulsive control of projective synchronization on chaotic systems. Phys Lett A 372 (2008) 3228-3233
10. Liu X. Impulsive synchronization of chaotic systems subject to time delay. Nonlinear Anal TMA. doi:10.1016/j.na.2009.01.162.
11. Tavazoei M.S., and Haeri M. Determination of active sliding mode controller parameters in synchronizing different chaotic system. Chaos Solitons Fractals 32 (2007) 583-591
12. Wang H., Han Z.Z., Xie Q.Y., and Zhang W. Sliding mode control for chaotic system based on LMI. Commun Nonlinear Sci Numer Simul 14 (2009) 1410-1417
13. Yau H.T., and Shieh C.S. Chaos synchronization using fuzzy logic controller. Nonlinear Anal RWA 9 (2008) 1800-1810
14. Gonzalo J., Cicese B.R., Chen G., and Shieh L.S. Fuzzy chaos synchronization via sampled driving signals. Int J Bifurcat Chaos 14 (2004) 2721-2733
15. GUO R. A simple adaptive controller for chaos and hyperchaos synchronization. Phys Lett A 372 (2008) 5593-5597
16. Park J.H. Adaptive control for modified projective synchronization of a four-dimensional chaotic system with uncertain parameters. J Comput Appl Math 213 (2008) 288-293
17. Yu Y. Adaptive synchronization of a unified chaotic system. Chaos Solitons Fractals 36 (2008) 329-333
18. Wang H., Han Z.Z., Zhang W., and Xie Q.Y. Synchronization of unified chaotic systems with uncertain parameters based on the CLF. Nonlinear Anal RWA 10 (2009) 715-722
19. Itkis U. Control system of variable structure (1976), Wiley, New York
20. Utkin V.I. Sliding mode and their applications in variable structure systems (1978), Springer, Moscow