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Reseach Article

Hyper Chaos Control using Fuzzy Sliding Mode Controller with Application to a Satellite Motion

by S.M.hamidzadeh, Arman Zarringhalam, Mahdi Yaghoobi
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 105 - Number 4
Year of Publication: 2014
Authors: S.M.hamidzadeh, Arman Zarringhalam, Mahdi Yaghoobi
10.5120/18369-9524

S.M.hamidzadeh, Arman Zarringhalam, Mahdi Yaghoobi . Hyper Chaos Control using Fuzzy Sliding Mode Controller with Application to a Satellite Motion. International Journal of Computer Applications. 105, 4 ( November 2014), 39-43. DOI=10.5120/18369-9524

@article{ 10.5120/18369-9524,
author = { S.M.hamidzadeh, Arman Zarringhalam, Mahdi Yaghoobi },
title = { Hyper Chaos Control using Fuzzy Sliding Mode Controller with Application to a Satellite Motion },
journal = { International Journal of Computer Applications },
issue_date = { November 2014 },
volume = { 105 },
number = { 4 },
month = { November },
year = { 2014 },
issn = { 0975-8887 },
pages = { 39-43 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume105/number4/18369-9524/ },
doi = { 10.5120/18369-9524 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:36:52.616817+05:30
%A S.M.hamidzadeh
%A Arman Zarringhalam
%A Mahdi Yaghoobi
%T Hyper Chaos Control using Fuzzy Sliding Mode Controller with Application to a Satellite Motion
%J International Journal of Computer Applications
%@ 0975-8887
%V 105
%N 4
%P 39-43
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the problem of hyper-chaos stabilization was discussed via Fuzzy Sliding Controller. The equation of a satellite is a six-Dimensional nonlinear system which includes some types of nonlinear behavior such as periodic trajectory, chaotic dynamics. A Fuzzy Sliding Controller is applied to regulate the state trajectory hyper-chaos satellite to the unstable equilibrium points. Using Lyapunov theory, the stability control system is proven. Simulation results show that the proposed controller can be chaotic satellite attitude in the presence of disturbance inputs and uncertainties will converge to the unstable equilibrium points.

References
  1. Lorenz, E. N. , Deterministic nonperiodic flow, J. Atmos. Sci. , vol. 20, pp. 130-141, 1963.
  2. O. E. Rossler, "An equation for hyper chaos," Physics Letters A, Vol. 71, pp. 155-157, 1979,
  3. JP. Goedgebuer, L. larger, and H. Porle, "Optical cryptosystem based on synchronization of hyper chaos generated by a delayed feedback tunable laser diode," Physical Review Letters, vol. 80, pp. 2249-2252,1998,
  4. Y. O. Ushenko, Y. Y. Tomka, I. Z. Misevich, A. P. Angelsky, and V. T. Bachinsky, "Polarization-singular Processing of Phaseinhomogeneous Layers Laser Images to Diagnose and Classify their Optical Properties," Advances in Electrical and Computer Engineering, vol. 11, pp. 3-10, 2011,
  5. S. Cincotti, and SD. Stefano, "Complex dynamical behaviors in two non-linearly coupled chua's circuits," Chaos, Solitons and Fractals, vol. 21, pp. 633-641, 2004,
  6. C. Li, X. Liao, and K. Wang, "Lag synchronization of hyper chaos with application to secure communication," Chaos, Solitons and Fractals, vol. 23, pp. 183-193, 2005,
  7. S. M. Hamidzadeh and Arman Zarringhalam, " Attitude control of chaotic satellite with unknown input and uncertanities based on sliding control "Vol. 97,No. 3, 2014
  8. S. M. Hamidzadeh and R. Esmaelzadeh, "Control and synchronization chaotic satellite using active control", Vol. 94, No. 10, 2014
  9. Jinling Zheng, "A simple universal adaptive feedback controller for chaos and hyperchaos control", Computers and Mathematics with Applications Vol. 61, pp. 2000-2004,2011
  10. H. T. Yau, and C. L. Chen, "Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems," Chaos, Solitons and Fractals, vol. 30, pp. 709–718, 2006,
  11. T. Y. Chiang, M. L. Hung, J. J. Yan, Y. S. Yang, and J. F. Chang, "Sliding mode control for uncertain unified chaotic systems with input nonlinearity," Chaos, Solitons and Fractals, vol. 34, pp. 437–442, 2007,
  12. Keihui Sun, Xuan Liu, Congxu Zhu, J. C. Sprott. "Hyperchaos and hyperchaos control of the sinusoidally forced simplified Lorenz system", Vol. 69, pp. 1383–1391, Nonlinear Dyn, 2012
  13. Ayub. Khan, Renu. Sharma, L. M. Saha, "Chaotic Motion of an ellipsoidal satellite I" THE ASTRONOMICAL JOURNAL, Vol,116, pp. 2058-2066, 1998
  14. Alban P. M. Tsui, Antonia J. Jones. "The control of higher dimensional chaos: comparative results for the chaotic satellite attitude control problem". Physica Vol. 135, pp. 41–62, 2000
  15. Amin Mohammadbagheri, Mahdi Yaghoobi, "Lorenz-Type Chaotic attitude control of satellite through predictive control", 2011 Third International Conference on Computational Intelligence, Modelling & Simulation 2011 IEEE, pp. 147-152
  16. K. Kemih, A. Kemiha, M. Ghanes, "Chaotic attitude control of satellite using impulsive control", Chaos, Solitons and Fractals, Vol. 42, pp. 735-744, 2009
  17. Dracopoulos DC, Jones AJ. "Adaptive neuro-genetic control of chaos applied to the attitude control problem". Neural Comp Appl. Vol. 6(2), pp. 102–15. 1997,
  18. C. L. Kuo, "Design of an adaptive fuzzy sliding-mode controller for chaos synchronization", International Journal of Nonlinear Sciences and Numerical Simulation, 8 (4), pp. 631–636. (2007)
Index Terms

Computer Science
Information Sciences

Keywords

Hyper-chaos Fuzzy Satellite Dynamic Error