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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

Switching Tracking Control and Synchronization of Four-Scroll Hyperchaotic Systems

Journal of Environmental Accounting and Management 7(4) (2018) 329--335 | DOI:10.5890/JAND.2018.12.001

K. S. Ojo, A. B. Adeloye, A. O. Busari

Department of Physics, University of Lagos, Akoka, Lagos, Nigeria

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Abstract

The paper investigates switching tracking control and synchronization of four-scroll hyperchaotic systems via the Open Plus Closed Loop (OPCL) technique. Based on Routh Hurwitz criterion, con- trollers which enable the state variables of the system to either stabilize to a chosen position or track desired smooth time dependent functions at different time intervals are designed. Similarly, controllers which enable trajectories of the drive system to either synchronize or anti-synchronize with the trajectories of the response system at different time intervals are designed. Numerical simulations are presents to validate the effectiveness of the proposed tracking control and synchronization technique. The newly proposed switching tracking control and synchronization scheme could be used to improve the design and control of a switch regulator.

References

  1. [1]  Strogatz, S.H. (1994), Nonlinear Dynamics and Chaos: with application to physics, chemistry, biology, and Engineering, Addison-Wesley Publishing Company: USA.
  2. [2]  Blackledge, J.M. (2008),Multi-algorithmic cryptography using deterministic chaos with applications to mobile communications, international society for advanced science and technology, Transactions on Electronics and Signal Processing, 2(1), 23-64.
  3. [3]  Lu, J. and Chen, S. (2003), Chaotic time series analysis and its application, Wuhan University Press, 4, pp. 570-578.
  4. [4]  Njah, A.N. and Ojo, K.S. (2010), Backstepping control synchronization of parametrically and externally excited van der Pol Oscillators with application to secure communications, International Journal of Modern Physics B, 24(3), 4581-4593.
  5. [5]  Ojo, K.S., Njah, A.N., and Olusola, O.I. (2014), Generalized compound synchronization of chaos in different order chaotic Josephson junctions, International Journal of Dynamics and Control, DOI:10.1007/s40435-014- 0122-5 (in press).
  6. [6]  Ojo, K.S., Njah, A.N., Olusola, O.I., and Omeike, M.O. (2014), Generalized reduced-order hybrid combination synchronization of three josephson junctions via backstepping technique, Nonlinear Dynamics, 77, 583-595.
  7. [7]  KamdoumTamba, V., Fotsin, H.B., Kengne, J., KapcheTagne, F., and Talla, P.K. (2015), Coupled inductors- based chaotic colpitts oscillators, Mathematical modeling and synchronization issues Eur. Phys. J. Plus, 130-137 (18pp).
  8. [8]  Pecora, L.M. and Carroll, T.L. (1990), Synchronization of chaotic systems, Physical Review Letter, 64, 821- 824.
  9. [9]  Ayub, K,n and Priyamvadam T. (2013), Synchronization, anti-synchronization and hybrid- synchronization of a double pendulum under the effect of external forces, International Journal of Computational Engineering Research, (ijceronline.com), 3(1), 166-176.
  10. [10]  Ojo, K.S., Njah, A.N., and Adebayo, G.A. (2011), Anti-synchronization of identical and non-identical f 6 van der pol and f 6 duffing oscillator with both parametric and external excitations via backstepping approach, International journal of modern physics B, 25(14), 1957-1969.
  11. [11]  Rulkov, N.F., Sushchik, M.M., and Tsimring, L.S. (1995), Generalized synchronization of chaos in direction- ally coupled chaotic system, Phys. Rev., E51, 980.
  12. [12]  Sundarapandian, V. and Karthikeyan, R. (2011), Hybrid chaos synchronization of hyperchaotic lorenz and hyperchaotic chen systems by active nonlinear control, International Journal of Electrical and Power Engineering , 5(5), 186-192.
  13. [13]  Park, J.H. and Kwon, O.M. (2003), A novel criterion for delayed feedback control of time-delay chaotic systems, Chaos, Solitons and Fractals, 17, 709-716.
  14. [14]  Ojo, K.S., Njah, A.N., Ogunjo, S.T., and Olusola O.I. (2014), Reduced order function projective combination synchronization of three josephson junctions using backstepping technique, Nonlinear Dynamics and Systems Theory, 14(2), 119-133.
  15. [15]  Roy, P.K., Hens, C., Grosu, I., and Dana S.K. (2011), Engineering generalized synchronization in chaotic oscillators, Chaos, 21(1), 013106 (7pp).
  16. [16]  Padmanaman, E., Banerjee, R., and Dana S.K. (2012), Targeting and control of synchronization in chaotic oscillators, International Journal of Bifurcation and chaos, 22, 1250177-(12pp).
  17. [17]  Sun, Z.W. (2013), Function Projective synchronization of two four-scroll hyperchaotic systems with unknown parameters, Cent. Eur., 11(1), 89-95.
  18. [18]  Radwan, A.G., Moaddy, K., Salama, K.N., Momani, S., and Hashim, I. (2014), Control and switching Synchronization of fractional order chaotic system using active control, Journal of Advanced Research, 5, 125-132.

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