Adaptive Synchronization of Fractional Hyper-Chaotic System with Unknown Parameters

Li Xin Yang; Wan Sheng He; Jin Ping Jia; Fan Di Zhang

doi:10.4028/www.scientific.net/AMR.850-851.868

Paper Titles

Agglomeration Feature Extraction from Voiceprint of Fluidized Bed by PCA and MFCC
p.851

Optimization on Tracking Performance of RLS Algorithm Using Transfer Function of Butterworth Low Pass Filter
p.856

A New Approach to Calculating Feeder Size and Location with Simulation Software
p.860

Near-Field Beamforming Based on the Constrained Optimization
p.864

Adaptive Synchronization of Fractional Hyper-Chaotic System with Unknown Parameters
p.868

Adaptive Synchronization of the Fractional-Order Sprott N System
p.872

Dynamics and Synchronization of the Fractional-Order Sprott E System
p.876

An Algorithm of Turbulence Wavenumber Spectrum Matching Based on SVM
p.880

An Intelligent Video Surveillance System for Android Smart Phone
p.884

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 850-851Adaptive Synchronization of Fractional...

Adaptive Synchronization of Fractional Hyper-Chaotic System with Unknown Parameters

Abstract:

In this paper, chaos synchronization of the modified Sprott E system is investigated. Based on the stability theorem for fractional systems, tracking control approach is used for the fractional-order systems with uncertain parameters. Meanwhile, suitable adaptive synchronization controller and recognizing rules of the uncertain parameters are designed. Numerical simulation results show that the method is easy to implement and reliable for synchronizing the two nonlinear fractional order hyper-chaotic systems.

You might also be interested in these eBooks

Advances in Applied Sciences and Manufacturing

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 850-851)

Pages:

868-871

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.850-851.868

Citation:

Cite this paper

Online since:

December 2013

Authors:

Li Xin Yang, Wan Sheng He, Jin Ping Jia, Fan Di Zhang

Keywords:

Adaptive, Fractional-Order, Synchronization, Tracking Control

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Podlubny: Fractional Differential Equations (Academic Press, New York, USA, 1999).

Google Scholar

[2] D. Cafagna: IEEE Industrial Electronics Magazine. Vol. 1 (2007) no. 2, p.35–40.

Google Scholar

[3] G.S. Chen: Journal of Computational Science & Engineering. Vol. 9 (2013), pp.363-365.

Google Scholar

[4] O. Heaviside: Electromagnetic Theory (Chelsea, New York, USA 1971).

Google Scholar

[5] M. Ichise, Y. Nagayanagi, T. Kojima: Journal of Electroanalytical Chemistry, vol. 33 (1971), p.253–265.

Google Scholar

[6] Y.W. Wang, Z.H. Guan, H. Wang: Phys Lett A., Vol. 312 (2003), pp.34-40.

Google Scholar

[7] R.C. Koeller: Journal of Applied Mechanics. Vol. 51 (1984), pp.299-307.

Google Scholar

[8] W.M. Ahmad, J.C. Sprott: Chaos, Solitons and Fractals, Vol. 16 (2003) no. 2, pp.339-351.

DOI: 10.1016/s0960-0779(02)00438-1

Google Scholar

[9] K. Diethelm, N.J. Ford: J. Math. Anal. Appl., Vol. 265 (2002) no. 2, pp.229-248.

Google Scholar

[10] K. Diethelm, N.J. Ford, A.D. Freed: Numerical Algorithms, Vol. 26 (2004), pp.31-52.

Google Scholar

[11] G.X. Chen, Y.H. Du, P.K. Qin, L. Zhang: Journal of Computational Science & Engineering, Vol. 8 (2013), pp.310-313.

Google Scholar