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Synchronization of Super Chaotic System with Uncertain Functions and Input Nonlinearity

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 163)

Abstract

The double integral sliding mode synchronization method is studied for a class of super chaotic systems. Both the unknown parameters and uncertain nonlinear functions are considered for the driven and response chaotic systems. It is worthy pointing out that a kind of input nonlinearity is took into consideration when the synchronization controller is designed. So the uncertainties are very complex in this situation and the steady state error can be compensated by the introducing of integrator in the sliding mode. Also, double integral sliding mode has the advantages of both PI controller and sliding mode controller. So it is a new kind of integral sliding mode and the numerical simulation proves the rightness of the proposed method.

Keywords

Double integral Sliding mode Chaos Synchronization Input nonlinearity Uncertainty 

Notes

Acknowledgements

This paper is supported by National Nature Science Foundation of China 61174031 and 61004002.

References

  1. 1.
    Kuo-Ming Chang (2008) Adaptive control for a class of chaotic systems with nonlinear inputs and disturbances. Chaos, Solitons and Fractals 36:460–468Google Scholar
  2. 2.
    Her-Terng Yau, Jun-Juh Yan (2008) Chaos synchronization of different chaotic systems subjected to input nonlinearity. Appl Math Comput 197:775–788Google Scholar
  3. 3.
    Tsung-Ying Chiang, Jui-Sheng Lin, Teh-Lu Liao et al (2008) Antisynchronization of uncertain unified chaotic systems with dead-zone nonlinearity. Nonlinear Anal 68:2629–2637Google Scholar
  4. 4.
    Hsieh JY, Hwang CC, Wang AP, Li WJ (1999) Controlling hyperchaos of the Rossler system. Int J Control 72:882–886CrossRefMATHMathSciNetGoogle Scholar
  5. 5.
    Yongguang Yu, Suochun Zhang (2004) Adaptive backstepping synchronization of uncertain chaotic system. Chaos, Solitons and Fractals 21:643–649Google Scholar
  6. 6.
    Yassen MT (2006) Adaptive chaos control and synchronization for uncertain new chaotic dynamical system. Phys Lett A 350:36–43CrossRefMATHGoogle Scholar
  7. 7.
    Awad El-Gohary, Rizk Yassen (2006) Adaptive control and synchronization of a coupled dynamo system with uncertain parameters. Chaos, Solitons and Fractals 29:1085–1094Google Scholar
  8. 8.
    Qiang Jia (2007) Adaptive control and synchronization of a new hyperchaotic system with unknown parameters. Phys Lett A 362:424–429Google Scholar
  9. 9.
    Rongwei Guo (2009) A simple adaptive controller for chaos and hyperchaos synchronization. Phys Lett A 360:38–53Google Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Naval Equipment Department of PLAEquipment Purchase CenterYantaiChina
  2. 2.Department of Control EngineeringNaval Aeronautical and Astronautical UniversityYantaiChina

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