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Planning and Realization of Singular Trajectories of Adept Six 300 Robot

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Intelligent Robotics and Applications (ICIRA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9245))

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Abstract

In this paper the solutions of forward and inverse kinematics problem for Adept Six 300 robot are presented. A matrix method was used in computations. Presented algorithm was used in trajectory planning. Joint values are chosen from a given set of solutions. A graph of solutions is made. Nodes represent the solutions of inverse kinematics problem and arcs’ weight are the cost of transition between two configurations. Two criteria are proposed in order to obtain smooth motion with desired properties. Algorithm based on derived formulas and logical conditions has been implemented in Adept SmartController CX. A comparison between manufacturer’s and proposed algorithm is presented. Proposed solution of inverse kinematics problem allows for a smooth passage through singular points.

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References

  1. Mikulski, M.A., Szkodny, T.: Remote control and monitoring of AX-12 robotic arm based on windows communication foundation. In: Czachórski, T., Kozielski, S., Stańczyk, U. (eds.) Man-Machine Interactions 2. AISC, vol. 103, pp. 77–83. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  2. Szkodny, T.: The basic component of computational intelligence for KUKA KR C3 robot. In: Jeschke, S., Liu, H., Schilberg, D. (eds.) ICIRA 2011, Part I. LNCS, vol. 7101, pp. 44–52. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  3. Szkodny, T.: Forward and inverse kinematics of IRb-6 manipulator. Mech. Mach. Theory 30, 1039–1056 (1995)

    Article  Google Scholar 

  4. Chwila, S., Zawiski, R., Babiarz, A.: Developing and implementation of the walking robot control system. In: Gruca, A., Czachórski, T., Kozielski, S. (eds.) Man-Machine Interactions 3. AISC, vol. 242, pp. 101–110. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  5. Babiarz, A., Klamka, J., Zawiski, R., Niezabitowski, M.: An approach to observability analysis and estimation of human arm model. In: 11th IEEE International Conference Control and Automation (ICCA), pp. 947–952 (2014)

    Google Scholar 

  6. Babiarz, A., Bieda, R., Jaskot, K., Klamka, J.: The dynamics of the human arm with an observer for the capture of body motion parameters. Bulletin of the Polish Academy of Sciences: Technical Sciences 61, 955–971 (2013)

    Google Scholar 

  7. Babiarz, A.: On mathematical modelling of the human arm using switched linear system. AIP Conference Proceedings 1637, 47–54 (2014)

    Article  Google Scholar 

  8. Babiarz, A., Czornik, A., Niezabitowski, M., Zawiski, R.: Mathematical model of a human leg - the switched linear system approach. In: International Conference on Pervasive and Embedded Computing and Communication Systems (PECCS) (accepted, 2015)

    Google Scholar 

  9. Tchoń, K., Karpińska, J., Janiak, M.: Approximation of Jacobian inverse kinematics algorithms. Int. J. Appl. Math. Comput. Sci. 19, 519–531 (2009)

    Google Scholar 

  10. Wang, L., Chen, C.: A combined optimization method for solving the inverse kinematics problem of mechanical manipulators. IEEE Trans. Robot. Automat. 7, 489–499 (1991)

    Article  Google Scholar 

  11. Bingual, Z., Ertunc, H.M., Oysu, C.: Comparison of inverse kinematics solutions using neural network for 6R robot manipulator with offset. In: 2005 ICSC Congress on Computational Intelligence (2005)

    Google Scholar 

  12. Szkodny, T.: Avoiding of the kinematic singularities of contemporary industrial robots. In: Zhang, X., Liu, H., Chen, Z., Wang, N. (eds.) ICIRA 2014, Part II. LNCS, vol. 8918, pp. 183–194. Springer, Heidelberg (2014)

    Google Scholar 

  13. Pfeiffer, F., Johanni, R.: A concept for manipulator trajectory planning. In: Proceedings of IEEE International Conference on Robotics and Automation, San Francisco, CA, April 7–10, pp. 1139–1405. IEEE, New York (1986)

    Google Scholar 

  14. Macfarlane, S., Croft, E.: Jerk-Bounded Robot trajectory planning: Design for real-time applications. IEEE Transactions on Robotics and Automation 19, 42–52 (2003)

    Article  Google Scholar 

  15. Shuhua, M., Lin, Y., Zhigang, L., Jinkuan, W.: Trajectory planning of 6-DOF manipulator based on combination function method. In: The 26th Chinese Control and Decision Conference (2014 CCDC), pp. 3407–3411 (2014)

    Google Scholar 

  16. Badawy, A.: Manipulator trajectory planning using artificial potential field. In: 2014 International Conference on Engineering and Technology (ICET), pp. 1–6 (2014)

    Google Scholar 

  17. Pires, E.J.S., Machado, J.A.T., Oliveira, P.B.M.: Manipulator trajectory planning using a MOEA. Appl. Soft Comput. J. 7, 659–667 (2007)

    Article  Google Scholar 

  18. Łȩgowski, A.: The Solving Algorithm of Inverse Kinematics Problem for Adept Robot. M.Sc. Dissertation. Silesian University of Technology, Gliwice, Poland (2014)

    Google Scholar 

  19. Dijkstra, E.: A note on two problems in connexion with graphs. Numerische Mathematik 1(269–271), 257 (1959)

    MathSciNet  Google Scholar 

  20. Grzejszczak, T., Łȩgowski, A., Niezabitowski, M.: Robot manipulator teaching techniques with use of hand gestures. In: International Conference on Control Systems and Computer Science (CSCS) (accepted, 2015)

    Google Scholar 

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Correspondence to Adrian Łȩgowski .

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Szkodny, T., Łȩgowski, A. (2015). Planning and Realization of Singular Trajectories of Adept Six 300 Robot. In: Liu, H., Kubota, N., Zhu, X., Dillmann, R., Zhou, D. (eds) Intelligent Robotics and Applications. ICIRA 2015. Lecture Notes in Computer Science(), vol 9245. Springer, Cham. https://doi.org/10.1007/978-3-319-22876-1_27

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  • DOI: https://doi.org/10.1007/978-3-319-22876-1_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22875-4

  • Online ISBN: 978-3-319-22876-1

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