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Energy Optimal Design of Jerk-Continuous Trajectories for Industrial Robots

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Advances in Italian Mechanism Science (IFToMM ITALY 2020)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 91))

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Abstract

In this paper a method for planning smooth and energy-efficient trajectories for industrial robots is presented. The motion design, which is based on the use of piecewise polynomial functions, is optimized for achieving minimum energy consumption when executing a trajectory that passes through a sequence of via-points with \(C^3\) continuity. For robots with simple kinematics, such as the Cartesian robot presented in this work, the energy consumption estimation can be performed using equations based on inverse dynamic models that allow fast and reliable numerical computing.

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References

  1. Carabin, G., Wehrle, E., Vidoni, R.: A review on energy-saving optimization methods for robotic and automatic systems. Robotics 6(4), 39 (2017)

    Article  Google Scholar 

  2. Rankis, I., Meike, D., Senfelds, A.: Utilization of regeneration energy in industrial robots system. Power Electr. Eng. 31, 95–100 (2013)

    Google Scholar 

  3. Scalera, L., Palomba, I., Wehrle, E., Gasparetto, A., Vidoni, R.: Natural motion for energy saving in robotic and mechatronic systems. Appl. Sci. 9(17), 3516 (2019)

    Article  Google Scholar 

  4. Carabin, G., Palomba, I., Wehrle, E., Vidoni, R.: Energy expenditure minimization for a delta-2 robot through a mixed approach. Comput. Methods Appl. Sci. 53, 383–390 (2020)

    Article  Google Scholar 

  5. Richiedei, D., Trevisani, A.: Optimization of the energy consumption through spring balancing of servo-actuated mechanisms. J. Mech. Des. 142(1), 012301 (2020)

    Article  Google Scholar 

  6. Halevi, Y., Carpanzano, E., Montalbano, G.: Minimum energy control of redundant linear manipulators. J. Dyn. Syst. Meas. Control 136(5), 051016 (2014)

    Article  Google Scholar 

  7. Riazi, S., Bengtsson, K., Bischoff, R., Aurnhammer, A., Wigström, O., Lennartson, B.: Energy and peak-power optimization of existing time-optimal robot trajectories. In: 2016 Proceedings of the IEEE International Conference Automation Science Engineering (CASE), pp. 1345–1350, August 2016

    Google Scholar 

  8. Richiedei, D., Trevisani, A.: Analytical computation of the energy-efficient optimal planning in rest-to-rest motion of constant inertia systems. Mechatronics 39, 147–159 (2016)

    Article  Google Scholar 

  9. Carabin, G., Vidoni, R., Wehrle, E.: Energy saving in mechatronic systems through optimal point-to-point trajectory generation via standard primitives. In: The International Conference of IFToMM, Italy, pp. 20–28. Springer, Cham (2018)

    Google Scholar 

  10. Biagiotti, L., Melchiorri, C.: Trajectory Planning for Automatic Machines and Robots. Springer, Berlin (2008)

    Google Scholar 

  11. Petrinec, K., Kovacic, Z.: Trajectory planning algorithm based on the continuity of jerk. In: IEEE Mediterranean Conference on Control & Automation (MED 2007), pp. 1–5 (2007)

    Google Scholar 

  12. Boscariol, P., Gasparetto, A., Vidoni, R.: Planning continuous-jerk trajectories for industrial manipulators. In: ASME 2012 11th Biennial Conference on Engineering Systems Design and Analysis (ESDA 2012), vol. 3, pp. 127–136 (2012)

    Google Scholar 

  13. Cook, C.C., Ho, C.Y.: The application of spline functions to trajectory generation for computer-controlled manipulators. In: Computing Techniques for Robots, pp. 101–110. Springer, Boston (1984)

    Google Scholar 

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Correspondence to Paolo Boscariol .

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Boscariol, P., Caracciolo, R., Richiedei, D. (2021). Energy Optimal Design of Jerk-Continuous Trajectories for Industrial Robots. In: Niola, V., Gasparetto, A. (eds) Advances in Italian Mechanism Science. IFToMM ITALY 2020. Mechanisms and Machine Science, vol 91. Springer, Cham. https://doi.org/10.1007/978-3-030-55807-9_36

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