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Multi-robot system optimization based on redundant serial spherical mechanism for robotic minimally invasive surgery

  • C. A. Nelson (a1), M. A. Laribi (a2) and S. Zeghloul (a2)

Serial spherical linkages have been used in the design of a number of robots for minimally invasive surgery, in order to mechanically constrain the surgical instrument with respect to the incision. However, the typical serial spherical mechanism suffers from conflicting design objectives, resulting in an unsuitable compromise between avoiding collision with the patient and producing good kinematic and workspace characteristics. In this paper, we propose a multi-robot system composed of two redundant serial spherical linkages to achieve this purpose. A multi-objective optimization for achieving the aforementioned design goals is presented first for a single redundant robot and then for a multi-robot system. The problem of mounting multiple robots on the operating table as well as the way cooperative actions can be performed is addressed. The sensitivity of each optimal solution (single-robot and multi-robot) to uncertainties in the design parameters is investigated.

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1. Berkelman, P., Boidard, E., Cinquin, E. and Troccaz, J., “LER: The Light Endoscope Robot,” Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems IROS, Las Vegas, NV, USA (2003) pp. 2835–2840.
2. Courreges, F., Smith-Guerin, N., Poisson, G., Vieyres, P., Gourdon, A., Szpieg, M. and Merigeaux, O., “Real-Time Exhibition of a Simulated Space Tele-Echography Using an Ultra-Light Robot,” Proceedings of the International Symposium on Artificial Intelligence, Robotics and Automation in Space ISAIRAS, Canada (2001).
3. Eldridge, B., Gruben, K., LaRose, D., Funda, J., Gomory, S., Karidis, J., McVicker, G., Taylor, R. and Anderson, J., “A remote center of motion robotic arm for computer assisted surgery,” Robotica 14 (1), 103109 (1996).
4. Essomba, T., Nouaille, L., Laribi, M. A., Nelson, C. A., Zeghloul, S. and Poisson, G., “Spherical wrist dimensional synthesis adapted for tool-guidance medical robots,” Mech. Ind. 15 (3), 217223 (2014).
5. Kang, H. and Wen, J. T., “EndoBot: A Robotic Assistant in Minimally Invasive Surgeries,” Proceedings of the IEEE International Conference on Robotics and Automation, Seoul, South Korea (2001) pp. 2031–2036.
6. Laribi, M. A., Rivière, T., Arsicault, M. and Zeghloul, S., “A Design of Slave Surgical Robot Based on Motion Cpture,” Proceedings of the 2012 IEEE International Conference on Robotics and Biomimetics (ROBIO2012), Guangzhou, China (Dec. 11–14, 2012) pp. 600–605.
7. Nelson, C. A. and Zhang, X., “Equivalent Mechanisms Techniques for Redesign of a Spherical Surgical Tool Manipulator,” Proceedings of the International Design Engineering Technical Conferences & Computers and Information ASME IDETC2010, Montréal, Québec, Canada, (Aug. 15–18, 2010), ASME Paper No. DETC2010-28367 (2010).
8. Nouaille, L., Laribi, M. A., Nelson, C. A., Essomba, T., Poisson, G. and Zeghloul, S., “Design process for robotic medical tool-guidance manipulators,” Proc. IMechE Part C: J. Mech. Eng. Sci. 230 (2), 259275 (2016).
9. Nouaille, L., Poisson, G., Zhang, X. and Nelson, C. A., “Method of dimensional optimization of spherical robots for medical applications using specialized indices,” Adv. Robot. 28 (3), 173186 (2014).
10. Olds, K., “Global indices for kinematic and force transmission performance in parallel robots,” IEEE Trans. Robot. 31 (2), 494500 (2015).
11. Rininsland, H., “ARTEMIS. A telemanipulator for cardiac surgery,” Eur. J. Cardio-Thoracic Surg. 16 (2), 106111 (1999).
12. Rosen, J., Brown, J. D., Chang, L., Barreca, M., Sinanan, M. and Hannaford, B., “The BlueDRAGON – a System for Measuring the Kinematics and the Dynamics of Minimally Invasive Surgical Tools In-Vivo,” Proceedings of the IEEE International Conference on Robotics and Automation, Washington, DC (2002) pp. 1876–1881.
13. Ebert-Uphoff, I., Gosselin, C. M. and Laliberté, T., “Static balancing of spatial parallel platform mechanisms – revisited,” J. Mech. Des. Trans. ASME 122 (1), 4351. doi:10.1115/1.533544 (2000).
14. Cafolla, D., Carbone, G. and Ceccarelli, M., “Balancing of a 3-dofs Parallel Manipulator,” In: Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots, (2016) pp. 173191, DOI: 10.1007/978-3-319-17683-3_8.
15. Schinozuka, M., “Monte Carlo solution of structural dynamics,” Comput. Struct. 2, 855874 (1972).
16. Tanev, T. K., Cammarata, A., Marano, D. and Sinatra, R., “Elastostatic Model of a New Hybrid Minimally Invasive Surgery Robot,” Proceedings of the 14th IFToMM World Congress, Taipei, Taiwan (Oct. 25–30 2015).
17. Vaida, C., Gherman, B., Pisla, D. and Plitea, N., “A Spherical Robot Arm for Instruments Positioning in Minimally Invasive Medical Applications,” Proceedings of the 2nd IFToMM Asian Conference on Mechanism and Machine Science, Tokyo, Japan (Nov. 7–10 2012).
18. Zemiti, N., Ortmaier, T., Vitrani, M. A. and Morel, G., “A Force Controlled Laparoscopic Surgical Robot Without Distal Force Sensing,” Proceedings of the 9th International Symposium on Experimental Robotics ISER'04, Singapore (2004).
19. Zhang, X. and Nelson, C. A., “Multiple-criteria kinematic optimization for the design of spherical serial mechanisms using genetic algorithms,” J. Mech. Des. 133 (1), 011005 (2011).
20. Zhang, X. and Nelson, C. A., “Kinematic analysis and optimization of a novel robot for surgical tool manipulation,” J. Med. Devices 2 (2), 021003 (2008).
21. Nelson, C. A., Laribi, M. A. and Zeghloul, S., “Optimization of a Redundant Serial Spherical Mechanism for Robotic Minimally Invasive Surgery,” Proceedings of the 7th International Workshop on Computational Kinematics, Futuroscope-Poitiers, France (May 2017), Mechanisms and Machine Science, Vol. 50, Springer, (2017) ISBN 978-3-319-60866-2.
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  • ISSN: 0263-5747
  • EISSN: 1469-8668
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