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Trajectory Planning for Seven-DOF Robotic Arm Based on Seventh Degree Polynomial

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Proceedings of 2019 Chinese Intelligent Systems Conference (CISC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 593))

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Abstract

Trajectory planning can ensure the robot arm move smoothly and quickly to the target position. The difficulty is to use inverse kinematics to convert the path point into the joint angle and fit a smooth function to each joint. The paper deals with research on trajectory planning for seven-DOF robotic arm. In the joint space, based on the kinematics analysis, the joint space trajectory planning is realized by the cubic polynomial and the seventh degree polynomial, and the simulation is realized on the MATLAB platform. The simulation results show that the robot link parameters are designed reasonably, the kinematics model is correctly established and the seventh degree polynomial interpolation method effectively solves the problem of acceleration discontinuity, and obtains a continuous smooth trajectory curve of each joint, which visually verifies the effect of trajectory planning and provides an efficient and feasible trajectory planning method.

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References

  1. Lu JY, Xiong XS, Zhu D (2013) Five degrees of freedom picking manipulator joint space trajectory planning. Light Ind Mach 31:11–14

    Google Scholar 

  2. Ma SH, Yang L, Liu ZG, Wang JK (2014) Trajectory planning of 6-DOF manipulator based on combination function method. In: The 26th Chinese Control and Decision Conference (2014 CCDC)

    Google Scholar 

  3. Gasparetto A, Boscariol P, Lanzutti A, Vidoni R (2015) Path planning and trajectory planning algorithms: a general overview. Mech Mach Sci 29:3–27

    Google Scholar 

  4. Gasparetto A, Zanotto V (2007) A new method for smooth trajectory planning of robot manipulators. Mech Mach Theory 42(4):455–471

    Article  MathSciNet  Google Scholar 

  5. Agarwal V (2011) Trajectory planning of redundant manipulator using fuzzy clustering method. Int J Adv Manuf Technol 61:5–8

    Article  Google Scholar 

  6. Wunderlich J, Boncelet C, Wunderlich J, Boncelet C (1996) Local optimization of redundant manipulator kinematics within constrained workspaces. In: Proceedings of the IEEE international conference on robotics and automation, Minneapolis, MN, vol 1, pp 127–132

    Google Scholar 

  7. Dubey R, Luh JYS (1988) Redundant robot control using task based performance measures. J Robot Syst 5(5):409–432

    Article  Google Scholar 

  8. Ding H, Chan SP (1996) A real-time planning algorithm for obstacle avoidance of redundant robots. J Intell Robot Syst 16(3):229–243

    Google Scholar 

  9. Ho CY, Cook CC (1982) The application of spline functions to trajectory generation for computer-controlled manipulators. Digit Syst Ind Autom 1(4):325–333

    Google Scholar 

  10. Angeles J (2007) Fundamentals of robotic mechanical systems, 3rd edn. Springer, New York

    Book  Google Scholar 

  11. Craig JJ (2005) Introduction to robotics: mechanics and control, 3rd edn. Pearson Prentice Hall, Upper Saddle River

    Google Scholar 

  12. Morales M, Tapia L, Pearce R, Rodriguez S, Amato NM (2005) A machine learning approach for feature-sensitive motion planning. In: Algorithmic foundations robotics VI, pp 361–376

    Google Scholar 

  13. Zhu HJ (2017) Motion trajectory planning and simulation of 6 DOF manipulator arm robot. Acad J Manuf Eng 15(3)

    Google Scholar 

  14. Jiang XS (1994) Introduction to robotics. Liaoning Science and Technology Press, Shenyang

    Google Scholar 

  15. Cai ZX (2000) The robotics. Tsinghua University Press, Beijing

    Google Scholar 

  16. Craig JJ (1986) Introduction to robotics: mechanics and control. Addison-Wesley Publishing Company, Boston

    Google Scholar 

  17. Aljawi AAN, Balamesh AS, Almatrafi TD, Akyurt M (2002) Symbolic modeling of robot manipulators. In: The 6th Saudi engineering conference, vol 4, pp 597–611

    Google Scholar 

  18. Zhang ZY, He DJ, Tang JL, Meng LS (2014) Picking robot arm trajectory planning method. Sensors Transducers 162(1):11–20

    Google Scholar 

  19. Yan XS, Wu QH, Liu HM (2012) An improved robot path planning algorithm based on genetic algorithm. Telkomnika 10(8):1948–1955

    Google Scholar 

Download references

Acknowledgments

This work was supported by the affiliate program LM201768.

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Correspondence to Xianghua Ma .

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Fang, S., Ma, X., Qu, J., Zhang, S., Lu, N., Zhao, X. (2020). Trajectory Planning for Seven-DOF Robotic Arm Based on Seventh Degree Polynomial. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 593. Springer, Singapore. https://doi.org/10.1007/978-981-32-9686-2_34

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