Journal of information and communication convergence engineering

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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A study on Synchronization method for Mutual Cooperative Control in the Chaotic UAV

  • Published : 2006.03.01
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Abstract

In this paper, we propose to synchronization method for mutual cooperative control method that have unstable limit cycles in a chaos trajectory surface in the chaotic UAVs. We assume all obstacles in the chaos trajectory surface have a Van der Pol equation with an unstable limit cycle. We also show computer simulation results of Arnold equation, Chua's equation trajectories with one or more Van der Pol as a obstacles. We proposed and verified the results of the method to make the embedding chaotic UAV to synchronization with the chaotic trajectory in any plane.

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References

  1. E. Ott, C.Grebogi, and J.A York,' Controlling Chaos', Phys. Rev.Lett., vol. 64, no.1196-1199, 1990 https://doi.org/10.1103/PhysRevLett.64.1196
  2. T. Shinbrot, C.Grebogi, E.Ott, and J.A.Yorke, 'Using small perturbations to control chaos', Nature, vol. 363, pp. 411-417, 1993 https://doi.org/10.1038/363411a0
  3. M. Itoh, H. Murakami and L. O. Chua, 'Communication System Via Chaotic Modulations' IEICE. Trans. Fundmentals. vol.E77-A, no., pp.1000-1005, 1994
  4. L. O. Chua, M. Itoh, L. Kocarev, and K. Eckert, 'Chaos Synchronization in Chua's Circuit' J. Circuit. Systems and computers, vol. 3, no. 1, pp. 93-108, 1993 https://doi.org/10.1142/S0218126693000071
  5. M. Itoh, K. Komeyama, A. Ikeda and L. O. Chua, 'Chaos Synchronization in Coupled Chua Circuits', IEICE. NLP. 92-51. pp. 33-40. 1992
  6. K. M. Short, 'Unmasking a modulated chaotic communications scheme', Int. J. Bifurcation and Chaos, vol. 6, no. 2, pp. 367-375, 1996 https://doi.org/10.1142/S0218127496000114
  7. L. Kocarev, 'Chaos-based cryptography: A brief overview,' IEEE, vol. pp. 7-21. 2001
  8. M. Bertram and A. S. Mikhailov, 'Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(110) surface under global delayed feedback', Phys. Rev. E 67, pp. 036208, 2003
  9. K. Krantz, f. H. Yousse, R.W, Newcomb, 'Medical usage of an expert system for recognizing chaos', Engineering in Medicine and Biology Society, 1988. Proceedings of the Annual International Conference of the IEEE, 4-7, pp. 1303 -1304, 1988
  10. Nakamura, A., Sekiguchi. 'The chaotic mobile robot', IEEE Transactions on Robotics and Automation, Volume: 17 Issue: 6 , pp. 898-904, 2001 https://doi.org/10.1109/70.976022
  11. P. Arena, S. Baglio, L. Fortuna and G. Maganaro, 'Chua's circuit can be generated by CNN cell', IEEE Trans. Circuit and Systems I, CAS-42, pp. 123-125. 1995
  12. H. Okamoto and H. Fujii, Nonlinear Dynamics, Iwanami Lectures of Applied Mathematics, Iwanami, Tokyo, 1995, vol. 14
  13. Y. C. Bae, J.W. Kim, Y.G. Kim, 'The obstacle collision avoidance methods in the chaotic mobile robot', 2003 ISIS, pp. 591-594, 2003
  14. Y. C. Bae, J.W. Kim, Y.G. Kim, 'Chaotic behavior analysis in the mobile robot: the case of Chua's equation', Proceeding of KFIS Fall Conference 2003, vol. 13, no. 2, pp.5-8, 2003
  15. Y. C. Bae, J.W. Kim, Y.G. Kim, 'Chaotic behavior analysis in the mobile robot: the case of Arnold equation', Proceeding of KFIS Fall Conference 2003, vol. 13, no. 2, pp.110-113, 2003
  16. Y. C. Bae, J.W. Kim, N.S. Choi, The Collision A voidance Method in the Chaotic Robot with Hyperchaos Path', KIMICS Conference 2003 Fall, vol. 7, no. 2, pp.584-588, 2003
  17. Y. C. Bae, J.W. Kim, N.S. Choi , 'The Analysis of Chaotic Behaviour in the Chaotic Robot with Hyperchaos Path ov Van der Pol(VDP) Obstacle', KIMICS Conference 2003 Fall, vol. 7, no. 2, pp. 589-593, 2003
  18. Y. C. Bae, J.W. Kim, Y.I, Kim, Chaotic Behaviour Analysis in the Mobile of Embedding some Chaotic Equation with Obstacle', Journal of Fuzzy Logic and Intelligent Systems, vol. 13, no.6, pp. 729-736, 2003 https://doi.org/10.5391/JKIIS.2003.13.6.729
  19. Y. C. Bae, J. W. Kim, Y.I, Kim, Obstacle Avoidance Methods in the Chaotic Mobile Robot with Integrated some Chaotic Equation', International Journal of Fuzzy Logic and Intelligent System, vol. 3, no. 2. pp. 206-214, 2003 https://doi.org/10.5391/IJFIS.2003.3.2.206
  20. Y. C. Bae, J.W. Kim, Y.I, Kim, 'The Obstacle Collision Avoidance Methods in the Chaotic Mobile Robots', ISIS 2003 Proceeding of the 4th International symposium on Advanced Intelligent System, pp. 591-594, 2003
  21. Y. C. Bae, J.W. Kim, Y.I, Kim, Chaotic Behaviour Analysis in the Mobile of Embedding some Chaotic Equation with Obstacle', Journal of Fuzzy Logic and Intelligent Systems, vol. 13, no. 6, pp. 729-736, 2003 https://doi.org/10.5391/JKIIS.2003.13.6.729
  22. Y. C. Bae, J. W. Kim, Y.I, Kim, Obstacle Avoidance Methods in the Chaotic Mobile Robot with Integrated some Chaotic Equation', International Journal of Fuzzy Logic and Intelligent System, vol. 3, no. 2. pp. 206-214, 2003 https://doi.org/10.5391/IJFIS.2003.3.2.206
  23. Y. C. Bae, J.W. Kim, Y.I, Kim, 'The Obstacle Collision A voidance Methods in the Chaotic Mobile Robots', ISIS 2003 Proceeding of the 4th International symposium on Advanced Intelligent System, pp. 591-594, 2003
  24. A. Proud, M. Pachter, and J.J. D'Azzo, 'Close formation Flight Control' in proceeding of the AIAA Guidance, Navigation and Control Conference and Exhibit,(Portland OR), pp.1231-1246, American Institute of Aeronautics and Astronautics, Aug, 1999