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Mathematical Problems in Engineering
Volume 2015, Article ID 937565, 13 pages
http://dx.doi.org/10.1155/2015/937565
Research Article

Motion Reliability Modeling and Evaluation for Manipulator Path Planning Task

School of Automation, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received 11 October 2014; Accepted 2 March 2015

Academic Editor: Zhan Shu

Copyright © 2015 Tong Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. S. Dhillon, A. R. M. Fashandi, and K. L. Liu, “Robot systems reliability and safety: a review,” Journal of Quality in Maintenance Engineering, vol. 8, no. 3, pp. 170–212, 2002. View at Publisher · View at Google Scholar · View at Scopus
  2. J. Xia, Z. N. Jiang, H. Liu, H. Cai, and G. Wu, “A novel hybrid safety-control strategy for a manipulator,” International Journal of Advanced Robotic Systems, vol. 11, no. 1, pp. 58–67, 2014. View at Publisher · View at Google Scholar · View at Scopus
  3. S. Rubrecht, V. Padois, P. Bidaud, M. de Broissia, and M. da Silva Simoes, “Motion safety and constraints compatibility for multibody robots,” Autonomous Robots, vol. 32, no. 3, pp. 333–349, 2012. View at Publisher · View at Google Scholar · View at Scopus
  4. J. Xia, Z. Jiang, H. Liu, H. Cai, and G. Wu, “A manipulator's safety control strategy based on fast continuous collision detection,” in Proceedings of the IEEE International Conference on Robotics and Biomimetics (ROBIO '13), pp. 2380–2385, IEEE, December 2013. View at Publisher · View at Google Scholar · View at Scopus
  5. C. Zhang and G. Bai, “Reliability analysis of a two-link flexible robot manipulator,” in Proceedings of the 2nd International Conference on Information Science and Engineering (ICISE '10), pp. 2269–2272, Hangzhou, China, December 2010. View at Publisher · View at Google Scholar · View at Scopus
  6. X. Huang and Y. Zhang, “Probabilistic approach to system reliability of mechanism with correlated failure models,” Mathematical Problems in Engineering, vol. 2012, Article ID 465853, 11 pages, 2012. View at Publisher · View at Google Scholar · View at Scopus
  7. C. Carreras and I. D. Walker, “Interval methods for improved robot reliability estimation,” in Proceedings of the Annual Reliability and Maintainability Symposium, pp. 22–27, January 2000. View at Scopus
  8. J. Li, J.-B. Chen, and W.-L. Fan, “The equivalent extreme-value event and evaluation of the structural system reliability,” Structural Safety, vol. 29, no. 2, pp. 112–131, 2007. View at Publisher · View at Google Scholar · View at Scopus
  9. E. Taufer, S. Bose, and A. Tagliani, “Optimal predictive densities and fractional moments,” Applied Stochastic Models in Business and Industry, vol. 25, no. 1, pp. 57–71, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. C. T. J. Xun, C. Zhang, and Y. Jiang, Electrical System Reliability Engineering, Science Press, Beijing, China, 2010.
  11. H. Zhuang, L. K. Wang, and Z. S. Roth, “Error-model-based robot calibration using a modified CPC model,” Robotics and Computer Integrated Manufacturing, vol. 10, no. 4, pp. 287–299, 1993. View at Publisher · View at Google Scholar · View at Scopus
  12. G. Chen, Q. Jia, T. Li, and H. Sun, “Calibration method and experiments of robot kinematics parameters based on error model,” Jiqiren/Robot, vol. 34, no. 6, pp. 680–688, 2012. View at Publisher · View at Google Scholar · View at Scopus
  13. W. Wu and S. S. Rao, “Uncertainty analysis and allocation of joint tolerances in robot manipulators based on interval analysis,” Reliability Engineering & System Safety, vol. 92, no. 1, pp. 54–64, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. W. Wu and S. S. Rao, “Interval approach for the modeling of tolerances and clearances in mechanism analysis,” Journal of Mechanical Design, Transactions of the ASME, vol. 126, no. 4, pp. 581–592, 2004. View at Publisher · View at Google Scholar · View at Scopus
  15. M. D. Pandey and X. Zhang, “System reliability analysis of the robotic manipulator with random joint clearances,” Mechanism and Machine Theory, vol. 58, pp. 137–152, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. S. S. Rao and P. K. Bhatti, “Probabilistic approach to manipulator kinematics and dynamics,” Reliability Engineering and System Safety, vol. 72, no. 1, pp. 47–58, 2001. View at Publisher · View at Google Scholar · View at Scopus
  17. H. P. Jawale and H. T. Thorat, “Positional error estimation in serial link manipulator under joint clearances and backlash,” Journal of Mechanisms and Robotics, vol. 5, no. 2, Article ID 021003, 2013. View at Publisher · View at Google Scholar · View at Scopus
  18. H. Abdellatif and B. Heimann, “On compensation of passive joint friction in robotic manipulators: Modeling, detection and identification,” in Proceedings of the Computer Aided Control System Design, IEEE International Conference on Control Applications, IEEE International Symposium on Intelligent Control, pp. 2510–2515, Munich, Germany, October 2006. View at Publisher · View at Google Scholar · View at Scopus
  19. Z. F. Bai, Y. Zhao, and J. Chen, “Dynamics analysis of planar mechanical system considering revolute clearance joint wear,” Tribology International, vol. 64, pp. 85–95, 2013. View at Publisher · View at Google Scholar · View at Scopus
  20. J. Kim, W.-J. Song, and B.-S. Kang, “Stochastic approach to kinematic reliability of open-loop mechanism with dimensional tolerance,” Applied Mathematical Modelling, vol. 34, no. 5, pp. 1225–1237, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. N. Kumar, J.-H. Borm, and A. Kumar, “Reliability analysis of waste clean-up manipulator using genetic algorithms and fuzzy methodology,” Computers & Operations Research, vol. 39, no. 2, pp. 310–319, 2012. View at Publisher · View at Google Scholar · View at Scopus
  22. S. P. Sharma, D. Kumar, and A. Kumar, “Reliability analysis of complex multi-robotic system using GA and fuzzy methodology,” Applied Soft Computing Journal, vol. 12, no. 1, pp. 405–415, 2012. View at Publisher · View at Google Scholar · View at Scopus
  23. L. Dashuang, W. Kesheng, Z. Longlong et al., “Dynamic precision reliability analysis for six degrees of freedom micro-displacement mechanism of reticle stage in lithography machine based on Monte-Carlo,” in Proceedings of the International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering (QR2MSE '13), pp. 250–252, 2013.
  24. T. Li, Q. X. Jia, G. Chen et al., “Motion reliability assessment of robot for trajectory tracking task,” Systems Engineering and Electronics, vol. 36, no. 12, pp. 2556–2561, 2014. View at Google Scholar
  25. P. L. Novi Inverardi and A. Tagliani, “Maximum entropy density estimation from fractional moments,” Communications in Statistics. Theory and Methods, vol. 32, no. 2, pp. 327–345, 2003. View at Publisher · View at Google Scholar · View at MathSciNet
  26. G. Chen, L. Zhang, Q. X. Jia, M. Chu, and H. Sun, “Repetitive motion planning of free-floating space manipulators,” International Journal of Advanced Robotic Systems, vol. 10, pp. 253–263, 2013. View at Publisher · View at Google Scholar · View at Scopus
  27. E. Jaynes, “Review of ‘principles of statistical mechanics—the information theory approach’ (Katz, A.; 1967),” IEEE Transactions on Information Theory, vol. 14, no. 4, pp. 611–612, 1968. View at Publisher · View at Google Scholar
  28. X. Li, The Method Study about Probability Distribution Based on the Principle of Maximum Entropy, North China Electric Power University, Beijing, China, 2008.