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Tracking Control and Generalized Projective Synchronization of a Fourth-Order Circuit’s Hyperchaotic System with Unknown Parameter and Disturbance

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Proceedings of the 2012 International Conference on Information Technology and Software Engineering

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 211))

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Abstract

In this paper, the issue of tracking control and generalized projective synchronization for a fourth-order circuit’s hyperchaotic system is investigated. Based on the LaSalle’s invariant set theorem, a robust controller is contrived to acquire tracking control and generalized projective synchronization and parameter identification. It is proved theoretically that the proposed scheme can allow us to drive this hyperchaotic system to any desired reference signals, including chaotic or hyperchaotic signals, periodic orbits or fixed value by the given scaling factor. The presented simulation results further demonstrate that the proposed method is effective and robust.

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References

  1. Feki M (2003) An adaptive chaos synchronization scheme applied to secure communication. Chaos Soliton Fract 18:141–149

    Google Scholar 

  2. Ngueuteu GSM,Yamapi R,Woafo P (2008) Effects of higher nonlinearity on the dynamics and synchronization of two coupled electromechanical devices. Commun Nonlinear Sci Numer Simul 13:1213–1240

    Google Scholar 

  3. Cao ZJ, Li PF, Zhang H, Xie FG, Hu G (2007) Turbulence control with local pacing and its implication in cardiac defibrillation. Chaos 17:0151071–0151079

    Article  MathSciNet  Google Scholar 

  4. Li J, Lin H, Li N (2006) Chaotic synchronization with diverse structures based on tracking control. Acta Physica Sinica 55:3992–4000

    MathSciNet  MATH  Google Scholar 

  5. Li Z, Chen G, Shi S, Han C (2003) Robust adaptive tracking control for a class of uncertain chaotic systems. Phys Lett A 310:40–42

    Article  MathSciNet  MATH  Google Scholar 

  6. Meng J, Wang XY (2008) Generalized projective synchronization of a class of delayed neural networks. Mod Phys Lett B 22:181–190

    Article  MathSciNet  MATH  Google Scholar 

  7. Li CP, Yan JP (2006) Generalized projective synchronization of chaos: the cascade synchronization approach. Chaos Soliton Fract 30:140–145

    Google Scholar 

  8. Min FH, Wang ZQ (2008) Generalized projective synchronization and tracking control of complex dynamous systems. Acta Phys Sin 57:0031–0035

    Google Scholar 

  9. Susuki Y, Yokoi Y, Hikihara T (2007) Energy-based analysis of frequency entrainment described by van der Pol and phase-locked loop equations. Chaos 17:0231081–0231088

    Article  Google Scholar 

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Correspondence to Xuanbing Yang .

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Yang, X. (2013). Tracking Control and Generalized Projective Synchronization of a Fourth-Order Circuit’s Hyperchaotic System with Unknown Parameter and Disturbance. In: Lu, W., Cai, G., Liu, W., Xing, W. (eds) Proceedings of the 2012 International Conference on Information Technology and Software Engineering. Lecture Notes in Electrical Engineering, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34522-7_8

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  • DOI: https://doi.org/10.1007/978-3-642-34522-7_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34521-0

  • Online ISBN: 978-3-642-34522-7

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