Adaptive Synchronization for a Class of Switched Chaotic Systems with Uncertainty

Article Preview

Abstract:

In this paper, a new adaptive control strategy for synchronization of switched chaotic systems with uncertainties is developed. Using adaptive control theory and common Lyapunov function method, An adaptive controller is constructed, and a sufficient condition is attainted for the stability of the error dynamic between drive and response switched chaotic systems with uncertainty under arbitrary switching. The results of simulation are given to show effectiveness of the proposed method.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

273-277

Citation:

Online since:

April 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Alexander L. Fradkov , Robin J. Evans. Control of chaos: Methods and applications in engineering. Annual Reviews in Control 2005; 29 33–56.

DOI: 10.1016/j.arcontrol.2005.01.001

Google Scholar

[2] Chen SH, Lu JA. Chaotic dynamics preliminary. Wuhan water conservancy and hydropower university press. (1999).

Google Scholar

[3] Pecora LM, Carroll TL. Synchronization in chaotic systems. Phys Rev Lett 1990; 64: 821–824.

DOI: 10.1103/physrevlett.64.821

Google Scholar

[4] Guan XP,Fan ZP. Chaos control and its application in secret communication. Defense industry press (2002).

Google Scholar

[5] H. N. Agiza and M. T. Yassen, Synchronization of Rossler and Chen chaotic dynamical systems using active control, Phys. Lett. A, vol. 278, pp.191-197, (2001).

DOI: 10.1016/s0375-9601(00)00777-5

Google Scholar

[6] P. Parmananda, Synchronization using linear and nonlinear feedbacks: a comparison, Phys. Lett. A, vol. 240, pp.55-59, (1998).

DOI: 10.1016/s0375-9601(98)00039-5

Google Scholar

[7] Chen M, Han Z, Controlling and synchronizing chaotic Genesio system via nonlinear feedback control, Chaos, Solitons & Fractals , vol. 17, p.709–716, (2003).

DOI: 10.1016/s0960-0779(02)00487-3

Google Scholar

[8] P. Celka, Chaotic synchronization and modulation of nonlinear time delayed feedback optical systems, IEEE Trans. Circuits and Systems, vol. 42, no. 8, pp.455-463, (1995).

DOI: 10.1109/81.404049

Google Scholar

[9] C. Masoller, Anticipation in the synchronization of chaotic time delay systems, Physica A, vol. 295, pp.301-304, (2001).

DOI: 10.1016/s0378-4371(01)00092-9

Google Scholar

[10] Jing Yao, Zhi-Hong Guan, and David J. Hill. Adaptive switching control and Synchronization of a class of Nonlinear Systems. 43rd IEEE Conference on Decision and Control (2004).

DOI: 10.1109/cdc.2004.1430352

Google Scholar

[11] M.T. Yassen. Adaptive chaos control and synchronization for uncertain new chaotic dynamical system. Physics Letters A 350 (2006) 36–43.

DOI: 10.1016/j.physleta.2005.09.076

Google Scholar

[12] Wang C, Ge S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos Solitons & Fractals 2001; 12: 1199–1206.

DOI: 10.1016/s0960-0779(00)00089-8

Google Scholar

[13] Park JH. Synchronization of Gnesio chaotic system via backstepping approach. Chaos Solitons & Fractals 2006; 27: 1369–1375.

DOI: 10.1016/j.chaos.2005.05.001

Google Scholar

[14] A. Khadra, X. Liu, and X. Shen. Application of impulsive synchronization to communication security. IEEE Trans. On Circuits and Systems, 2003: 50: 341-350.

DOI: 10.1109/tcsi.2003.808839

Google Scholar

[15] Liberzon D, Morse A S. Basic problem in stability and design of switched systems. Control Systems Magazine, 1999, 19 (5): 59~70.

Google Scholar