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10.1109/SMC.2016.7844227guideproceedingsArticle/Chapter ViewAbstractPublication PagesConference Proceedingsacm-pubtype
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Parameter design for two-dimensional truss binary manipulators based on the Kolmogorov-Smirnov statistic and maximum empty circles

Published: 09 October 2016 Publication History

Abstract

In this study, a two-dimensional truss binary manipulator is considered as a controlled plant. The reachable points of the binary manipulator form a discrete set of points, and their distribution depends on the parameters of each binary actuator, e.g., the binary actuator lengths. In this paper, a novel parameter design method for the binary manipulators is proposed. In this method, two different criteria, the Kolmogorov-Smirnov (KS) statistic and radius of the maximum empty circle (MEC) are combined. Minimizing the KS-statistic maximizes the density of reachable points and makes their distribution close to uniform one. In addition, minimizing the radius minimizes the upper bound of the positioning error of end effecter. Numerical design results for the two-dimensional truss binary manipulator are presented to demonstrate the usefulness of the proposed method.

References

[1]
M. D. Lichter, V. A. Sujan, and S. Dubowsky, “Experimental demonstrations of a new design paradigm in space robotics”, in Experimental Robotics VII, ser. Lecture Notes in Control and Information Sciences, D. Rus and S. Singh, Eds. Springer Berlin Heidelberg 2001, vol. 271, pp. 219–228.
[2]
V. Sujan, M. Lichter, and S. Dubowsky, “Lightweight hyper-redundant binary elements for planetary exploration robots”, in Advanced Intelligent Mechatronics, 2001. Proceedings. 2001 IEEE/ASME InternationalConference on, vol. 2, 2001, pp. 1273–1278 2.
[3]
V. Sujan and S. Dubowsky, “Design of lightweight hyper-redundant deployable binary manipulator”, Journal of Mechanical Design, vol. 126, pp. 29–39, 2004.
[4]
K. Miura, H. Furuya, and K. Suzuki, “Variable geometry truss and its application to deployable truss and space crane arm”, Acta Astronautica, vol. 12, no. 7/8, pp. 599–607, 1985, congress of the International Federation of Astronautics. [Online]. Available: http://www.sciencedirect.com/science/article/pii/10094576585901316
[5]
P. Hughes, W. Sincarin, and K. Carroll, “Trussarm-available-geometry-truss manipulator”, Journal of Intelligent Material Systems and Structures, vol. 2, pp. 148–160, 1991.
[6]
H. Robertshaw and C. Reinholtz, “Variable geometry trusses”, in Smart Materials, Structures, and Mathematical Issues, pp. 105–120, 1988.
[7]
Y. Young Kim, G.-W. Jang, and S. J. Nam, “Inverse kinematics of binary manipulators by using the continuous-variable-based optimization method”, Robotics, IEEE Transactions on, vol. 22, no. 1, pp. 33–42, Feb 2006.
[8]
A. B. Kyatkin and G. S. Chirikjian, “Synthesis of binary manipulators using the Fourier transform on the Euclidean group”, ASME. J. Mech. Des., vol. 121, no. 1, pp. 9–14, 1999.
[9]
Y. Wang and G. Chirikjian, “Workspace generation of hyper-redundant manipulators as a diffusion process on se(n)”, Robotics and Automation, IEEE Transactions on, vol. 20, no. 3, pp. 399–408, June 2004.
[10]
F. J. Massey, “The Kolmogorov-Smirnov test for goodness of fit”, Journal of the American Statistical Association, vol. 46, no. 253, pp. 68–78, 1951.
[11]
Mathworks, “kstest (MATLAB online documentation)”. [Online]. Available: http://www.mathworks.com/help/stats/kstest.html
[12]
M. D. Berg, O. Cheong, M. v. Kreveld, and M. Overmars, Computational Geometry: Algorithms and Applications, 3 rd ed. Santa Clara, CA, USA: Springer-Verlag TELOS, 2008.
[13]
Q. Du, V. Faber, and M. Gunzburger, “Centroidal Voronoi tessellations: Applications and algorithms”, SIAM Review, vol. 41, no. 4, pp. 637–676, 1999.

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cover image Guide Proceedings
2016 IEEE International Conference on Systems, Man, and Cybernetics (SMC)
Oct 2016
4589 pages

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IEEE Press

Publication History

Published: 09 October 2016

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