Finite-time chaos control of unified chaotic systems with uncertain parameters

Nonlinear Dynamics

Volumn 55, Issue 4, 2009, Pages 323-328

  Wang, Hua ^a   Han, Zhengzhi ^a   Xie, Qiyue ^a   Zhang, Wei ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Cascade connected systems; Robust controllers; Uncertain parameters; Unified chaotic systems

Indexed keywords

CHAOS THEORY; CONTROLLERS; LUTETIUM; NONLINEAR CONTROL SYSTEMS; PROGRAMMING THEORY; SYSTEMS ANALYSIS; UNCERTAINTY ANALYSIS;

CASCADE-CONNECTED SYSTEMS; CHAOS CONTROLS; FINITE-TIME STABILITIES; NONLINEAR CONTROL LAWS; ROBUST CONTROLLERS; SIMULATION RESULTS; UNCERTAIN PARAMETERS; UNIFIED CHAOTIC SYSTEMS;

CHAOTIC SYSTEMS;

EID: 59349116972     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-008-9364-0     Document Type: Article

References (15)

1. P. Colet R. Roy 1994 Digital communication with synchronization chaotic laser Opt. Lett. 19 24 2056 2058
2. T. Sugawara M. Tachikawa T. Tsukamoto T. Shimizu 1994 Observation of synchronization in laser chaos Phys. Rev. Lett. 72 22 3502 3505
3. J. Lu X. Wu J. Lü 2002 Synchronization of a unified system and the application in secure communication Phys. Lett. A 305 365 370
4. M.T. Yassen 2007 Controlling, synchronization and tracking chaotic Liu system using active backstepping design Phys. Lett. A 360 582 587
5. C. Tao X. Liu 2007 Feedback and adaptive control and synchronization of a set of chaotic and hyperchaotic systems Chaos Solitons Fractals 32 1572 1581
6. M.S. Tavazoei M. Haeri 2007 Determination of active sliding mode controller parameters in synchronizing different chaotic systems Chaos Solitons Fractals 32 583 591
7. M.N. Jamal N.N. Ammar 2007 Chaos control using sliding-mode theory Chaos Solitons Fractals 33 695 702
8. H. Wang Z. Han W. Zhang Q. Xie 2007 Synchronization of unified chaotic systems with uncertain parameters based on the CLF Nonlinear Anal.: Real World Appl. 10.1016/j.nonrwa.2007.10.025
9. F. Wang S. Si G. Shi 2006 Chaotic synchronization problem of finite-time convergence based on terminal slide mode control Acta Phys. Sin. 55 5694 5699
10. G. Wu C. Wang Q. Zeng 2006 Synchronization of chaotic systems with parametric uncertainty using terminal sliding mode adaptive control Control Decision 21 229 232
11. T. Gao Z. Chen Z. Yuan 2005 Robust finite time synchronization of choatic systems Acta Phys. Sin. 54 2574 2579
12. J. Lu G. Chen D. Cheng S. Celikovsky 2002 Bridge the gap between the Lorenz system and the Chen system Int. J. Bifurc. Chaos 12 12 2917 2926
13. Hong, Y., Yang, G., Linda, B., Wang, H.: Global finite-time stabilization: from state feedback to output feedback. In: Proceedings of the 39th IEEE Conference on Decision and Control Sydney, pp. 2908-2913. Australia, December 2000
14. Khalil, H.K.: Nonlinear Systems, 3rd edn. Prentice-Hall, New Jersey (2002)
15. E. Ott C. Grebogi J.A. Yorke 1990 Controlling chaos Phys. Rev. Lett. 64 11 1196 1199