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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Synchronization of Unified Chaotic System via Output Feedback Control Scheme

Journal of Environmental Accounting and Management 7(4) (2018) 383--392 | DOI:10.5890/JAND.2018.12.006

Xue-Rong Tao$^{1}$, Ling Tang$^{2}$, Ping He$^{3}$

$^{1}$ School of Physics & Electronic Engineering, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, People’s Republic of China

$^{2}$ School of Automation & Information Engineering, Sichuan University of Science & Engineering, Zigong, Sichuan, 643000, People’s Republic of China

$^{3}$ Emerging Technologies Institute, The University of Hong Kong, Pokfulam, Hong Kong

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Abstract

This article presents a new method of synchronization of unified chaotic system by employing output feedback control strategy. In particular, for unified chaotic system with parameter α∈ [0,1], we design explicit and simple output feedback control scheme by which the equilibrium point of error system is globally stabilized. The numerical simulation of unified chaotic system has been demonstrated to show the effectiveness of the proposed synchronization scheme.

Acknowledgments

This work was jointly supported by National Natural Science Foundation of China (Grant Nos. 11705122, 61640223), Research Foundation of Department of Education of Sichuan Province (Grant no. 17ZA0271), Open Foundation of Enterprise Informatization and Internet of Things Key Laboratory of Sichuan Province (Grant no. 2016WYJ03), Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (Grant no. 2016RYJ04), and Open Foundation of Sichuan Provincial Key Lab of Process Equipment and Control (Grant no. GK201612).

References

  1. [1]  He, P. (2016), Chaos Control of Chaotic Systems: Stabilization, Synchronization & Circuit Implementation, LAP LAMBERT Academic Publishing, Saarbrücken, Germany, 1th edition.
  2. [2]  Nik, H.S., He, P., and Talebian, S.T. (2014), Optimal, adaptive and single state feedback control for a 3D chaotic system with golden proportion equilibria, Kybernetika, 50(4), 596-615.
  3. [3]  Chen, C.Z., He, P., Fan, T., and Jing, C.G. (2015) Finite-time chaotic control of unified hyperchaotic systems with multiple parameters, International Journal of Control and Automation, 8(8), 57-66.
  4. [4]  He, P. and Fan, T. (2016), Delay-independent stabilization of nonlinear systems with multiple time-delays and its application in chaos synchronization of Rössler system. International Journal of Intelligent Computing and Cybernetics, 9(2), 205-216.
  5. [5]  He, P. and Li, Y.M. (2015), Control and synchronization of a hyperchaotic finance system via single controller scheme, International Journal of Intelligent Computing and Cybernetics, 8(4), 330-334.
  6. [6]  Jing, C.G., He, P., Fan, T., Li, Y.M, Chen, C.Z., and Song, X. (2015), Single state feedback stabilization of unified chaotic systems and circuit implementation, Open Physics, 13(1), 111-122.
  7. [7]  Chen, C.Z. and He, P. (2016), Projective synchronization of the Victor-Carmen chaotic system, Journal of Central China Normal University (Natural Sciences), 50(4), 521-524.
  8. [8]  Pecora, L.M. and Carroll, T.L. (1990), Synchronization in chaotic systems, Physical Review Letters, 64(8), 821.
  9. [9]  Kocarev, L. and Parlitz, U. (1996), Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems, Physical Review Letters, 76(11), 1816.
  10. [10]  Varela, F., Lachaux, J.P., Rodriguez, E., and Martinerie, J. (2001), The brainweb:phase synchronization and large-scale integration, Nature Reviews Neuroscience, 2(4), 229-239.
  11. [11]  Mainieri, R. and Rehacek, J. (1999), Projective synchronization in three-dimensional chaotic systems, Physical Review Letters, 82(15), 3042.
  12. [12]  Ahn, C.K. (2010), Output feedback H∞ synchronization for delayed chaotic neural networks, Nonlinear Dynamics, 59(1), 319-327.
  13. [13]  Chai, Y. and Chen, L.Q. (2012), Projective lag synchronization of spatiotemporal chaos via active sliding mode control, Communications in Nonlinear Science and Numerical Simulation, 17(8), 3390-3398,.
  14. [14]  Fan, T., Chen, C.Z., Ren, X.H., and He, P. (2014), Adaptive synchronization of delayed Chen chaotic system, Discontinuity, Nonlinearity, and Complexity, 3(4), 367-378.
  15. [15]  Shen, Z.P. and Li, J.T. (2017), Chaos control for a unified chaotic system using output feedback controllers, Mathematics & Computers in Simulation, 132, 208-219.
  16. [16]  Lorenz, E.N. (1963), Deterministic nonperiodic flow, Journal of the Atmospheric Sciences, 20(2), 130-141.
  17. [17]  Zhong, G.Q. and Tang, W.K.S. (2002), Circuitry implementation and synchronization of Chen's attractor. International Journal of Bifurcation & Chaos, 12(6), 1423-1427.
  18. [18]  Han, F.L., Wang, Y.Y., Yu, X.H., and Feng, Y. (2004), Experimental confirmation of a new chaotic attractor, Chaos, Solitons & Fractals, 21(1), 69-74.
  19. [19]  Lü, J.H., Chen, G.R., Cheng, D.Z., and Celikovsky, S. (2002), Bridge the gap between the Lorenz system and the Chen system, International Journal of Bifurcation & Chaos, 12(12), 2917-2926.

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