Browse > Article

Obstacle Avoidance Technique for Chaotic Mobile Robot  

Bae Young-chul (여수대학교 공과대학 전자통신전기공학부)
Kim Chun-suk (여수대학교 공과대학 전자통신전기공학부)
Abstract
In this paper, we propose a method to avoid obstacles that have unstable limit cycles in a chaos trajectory surface. 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, Hyper-chaos equation, Hamilton equation and Lorenz chaos trajectories with one or more Van der Pol obstacles.
Keywords
Chaos robot; Chaos control; Obstacle avoidance;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
1 Y. Bae, J. Kim, Y.Kim, 'The obstacle collision avoidance methods in the chaotic mobile robot', 2003 ISIS, pp.591-594, 2003
2 Y. C. Bae, J.W. Kim, Y.I, Kim, Chaotic Behaviour Analysis in the Mobileof Embedding some Chaotic Equation with Obstacle', Journal of Fuzzy Logic and Intelligent Systems, vol. 13, no.6, pp.729-736, 2003   DOI
3 M. Itoh, H. Murakami and L. O. Chua, 'Communication System Via Chaotic Modulations' IEICE. Trans. Fundmentals. vo1.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   DOI
5 E. Ott, C.Grebogi, and J.A York,'Controlling Chaos', Phys. Rev.Lett., vol. 64, no.1196-1199, 1990   DOI   ScienceOn
6 H. Okamoto and H. Fujii, Nonlinear Dynamics, Iwanami Lectures of Applied Mathematics, Iwanami, Tokyo, 1995, vol. 14
7 M. Itoh, K. Komeyama, A. Ikeda and L. O. Chua, ' Chaos Synchronization in Coupled Chua Circuits', IEICE. NLP. 92-51. pp. 33-40. 1992
8 M. Bertram and A. S. Mikhailov, 'Pattern formation on the edge of chaos: Mathematical modeling of CO oxidation on a Pt(11O) surface under global delayed feedback', Phys. Rev. E 67, pp. 036208, 2003
9 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   DOI
10 K. M. Short, ' Unmasking a modulated chaotic communications scheme', Int. J. Bifurcation and Chaos, vol. 6, no. 2, pp. 367-375, 1996   DOI
11 akamura, A., Sekiguchi. 'The chaotic mobile robot' IEEE Transactions on Robotics and Automation , Volume: 17 Issue: 6 , pp. 898 -904, 2001   DOI   ScienceOn
12 Y. Bae, J. Kim, Y.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
13 K. Krantz, f. H. Yousse, R.W , Newcomb, 'Medical usage of an expert system for recognizing chaos', Engineering in Medidne and Biology Society, 1988. Proceedings of the Annual International Conference of the IEEE, 4-7, pp. 1303 -1304,1988
14 T. Shinbrot, C.Grebogi, E.Ott, and J.A.Yorke, 'Using small perturbations to control chaos', Nature, vol. 363, pp. 411-417, 1993   DOI   ScienceOn
15 L. Kocarev, ' Chaos-based cryptography: A brief overview,' IEEE, Vol. pp. 7-21. 2001
16 Y. Bae, J. Kim, Y.Kim, 'Chaotic behavior analysis in the mobile robot: the case of Amold equation' , Proceeding of KFIS Fall Conference 2003, vol. 13, no. 2, pp110-113, 2003