You are here

Home » Content

Robust Synchronization of Lorenz-Rössler Chaotic Systems: Active Sliding Mode and LQG/LTR Design and Comparison

Journal Name:

  • Journal of Control Engineering and Technology

Publication Year:

  • 2012

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, two robust controllers are designed for the synchronization of Lorenz-Rössler chaotic systems. First an active sliding mode control is presented in which the resulted control parameters not only secure the stability of the error system; they can also be adjusted to obtain the desired rate of error convergence. Second, linear quadratic gaussian/loop transfer recovery (LQG/LTR) controller is proposed which allows the designer to shape the principal gains of the return ratio at either the input or the output of the plant, to achieve robust stability and robust performance specifications. The numerical simulation results show the effectiveness of two proposed methods.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastrmx_153796_2_pp_70-78.pdf
  • 2
70-78
  • English

REFERENCES

References: 

[1] T. L. Carroll and L. M. Pecora, "Synchronizing chaotic circuits", IEEE
Trans. Circ. Syst., vol. 38, pp. 453–456, 1993.
[2] G. Chen and X. Dong, "On feedback control of chaotic continuous-time
systems", IEEE Trans. Circ. Syst. ,vol. 40, pp. 591–601, 1993.
[3] M. J. Ogorzalek, Chaos and complexity in nonlinear electronic circuits,
Singapore, Word Scientific, 1997.
[4] K. Murali and M. Lakshmanan, "Secure communication using a
compound signal from generalized synchronizable chaotic systems", Phys.
Lett. A, vol. 241, no. 6, pp. 303–310, 1998.
[5] A. Ucar, K. E. Lonngren, and E. W. Bai,"Synchronization of chaotic
behavior in nonlinear Bloch equations", Phys. Lett A.,vol. 314, pp.96–
101, 2003.
[6] L. Huang, M. Wang, and R. Feng, "Synchronization of chaotic systems
via nonlinear control", Phys. Lett. A, vol. 320, pp. 271–275, 2004.
[7] H. H. Chen, G. Sheu, Y. Lin and C. Chen, "Chaos synchronization
between two different chaotic systems via nonlinear feedback control",
Nonlinear Analysis, vol. 70, pp. 4393-4401, 2009.
[8] T. Carroll and L. Pecora, "Synchronization in chaotic systems", Phys.
Rev. Lett., vol.64, pp. 821–824, 1990.
[9] E. Bai, and K. Lonngren "Synchronization of two Lorenz systems using
active control", Chaos, Solitons & Fractals, vol. 8, pp.51–58, 1997.
Journal of Control Engineering and Technology (JCET)
JCET Vol. 2 No. 2 April 2012 PP. 70-78 www.ijcet.org ○C World Academic Publishing
78
[10] H. Agiza, and M. Yassen, "Synchronization of Rossler and Chen chaotic
dynamical systems using active control", Phys. Lett. A., vol. 278, pp.
191–197. 1997.
[11] M. Ho and Y. Hung, "Synchronization of two different systems by using
generalized active control", Phys. Lett. A, vol. 301, pp.424–428, 2002.
[12] M. Assen, "Chaos synchronization between two different chaotic
systems using active control", Chaos, Solitons & Fractals, vol. 23,
pp.131–40, 2005.
[13] A. Ucar, K. Lonngren and E. Bai, "Synchronization of the unified
chaotic systems via active control", Chaos, Solitons & Fractals, vol. 27,
pp. 1292–1297, 2006.
[14] J. E. Slotine and W. Li, Applied Nonlinear Control, Prentice Hell, 1991.
[15] H. Zhang, X. Ma and W. Liu, "Synchronization of chaotic systems with
parametric uncertainty using active sliding mode control", Chaos,
Solitons & Fractals, vol.21, pp.1249–57, 2004.
[16] J. Lin, J. Yan. and T. Liao, "Chaotic synchronization via adaptive
sliding mode observers subject to input nonlinearity", Chaos, Solitons &
Fractals, vol. 24, pp.371–81, 2005.
[17] M. Haeri and A. Emadzadeh, "Synchronizing different chaotic systems
using active sliding mode control", Chaos, Solitons and Fractals, vol. 31,
pp.119–129, 2007.
[18] J. M. Maciejowski, Multivariable Feedback Design. Addison Wiley
Longman Limited, Edinburgh Gate, England, 1996.
[19] H. Richter, "Controlling the Lorenz system: combining global and local
schemes", Chaos, Solitons & Fractals, vol. 12, pp.2375–80, 2001.
[20] J. Sprott, Chaos and Time-Series Analysis, Oxford University Press,
2003.
[21] K. Ogata, Modern Control Engineering. 4th edition, Prentice Hall of
India Private Limited, M-97, Connaught Circus New Delhi-11000, MA,
CMPSCI Tech. Rep. 99-02, 1999.

Thank you for copying data from http://www.arastirmax.com