Abstract
Creation of methods solving the inverse kinematics problem for an arbitrary robotic system (RS) and development of software implementation of which could be used without significant changes and a loss of quality in various systems is an actual task for much robotic research. In this paper, we propose an iterative inverse kinematic solution method with a novel representation concept for a robotic multi-link system from the standpoint of kinematics. The global coordinates are used for each single joint positioning together with the coordinate system that is responsible for the orientation. The main part of the work is devoted to the developed method and algorithms for solving the inverse kinematics problem, which are suitable for robotic systems with joints that are incapable of full spatial motion. The developed solution of inverse kinematic takes into account the features of the proposed concept of robotic systems representation and is based on the modernization of the heuristic algorithm Forward and Backward Reaching Inverse Kinematics (FABRIK).
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References
Aristidou, A., Lasenby, J.: FABRIK: a fast, iterative solver for the inverse kinematics problem. Graph. Models 73(5), 243–260 (2011)
Chen, I.M., Yang, G., Kang, I.G.: Numerical inverse kinematics for modular reconfigurable robots. J. Robot. Syst. 16(4), 213–225 (1999)
KuCuk, S., Bingul, Z.: The inverse kinematics solutions of industrial robot manipulators. In: Proceedings of the IEEE International Conference on Mechatronics, pp. 274–279 (2004)
Colomé, A., Torras, C.: Redundant inverse kinematics: experimental comparative review and two enhancements. In: 2012 IEEE/RSJ International Conference on Intelligent Robots and Systems, pp. 5333–5340 (2012)
Duka, A.V.: Neural network based inverse kinematics solution for trajectory tracking of a robotic arm. Procedia Technol. 12, 20–27 (2014)
Hartenberg, R.S., Denavit, J.: A kinematic notation for lower pair mechanisms based on matrices. J. Appl. Mech. 77(2), 215–221 (1955)
Golubev, Yu.F.: Quaternion algebra in rigid body kinematics. Preprinty ipm im. M.V. Keldysha, 39. http://library.keldysh.ru/preprint.asp?id=2013-39. Accessed 2017/04/01
Ronzhin, A., Saveliev, A., Basov, O., Solyonyj, S.: Conceptual model of cyberphysical environment based on collaborative work of distributed means and mobile robots. In: International Conference on Interactive Collaborative Robotics, pp. 32–39. Springer, Cham (2016)
Pavliuk, N.A., Krestovnikov, K.D., Pykhov, D.E.: Mobile autonomous reconfigurable system. Problemele Energeticii Regionale 1, 125–135 (2018)
Vatamaniuk, I., Panina, G., Saveliev, A., Ronzhin, A.: Convex shape generation by robotic swarm. In: 2016 International Conference on Autonomous Robot Systems and Competitions (ICARSC), pp. 306–310 (2016)
Ivanov, A.A., Shmakov, O.A.: An algorithm for defining the inner geometry of a snakelike manipulator in case of leading link movements along the incremental trajectory. SPIIRAS Proc. 6, 190–207 (2016)
Vorotnikov, V.I., Vokhmyanina, A.V.: Feedback linearization method for problem of control of a part of variables in uncontrolled disturbances. SPIIRAS Proc. 6, 61–93 (2018)
Gorobtsov, A.S., Andreev, A.E., et al.: Features of solving the inverse dynamic method equations for the synthesis of stable walking robots controlled motion. SPIIRAS Proc. 18, 85–122 (2019)
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The reported study was funded by RFBR according to the research project No. 17-58-04110_Bel_mol_a.
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Iakovlev, R., Denisov, A., Prakapovich, R. (2020). Iterative Method for Solving the Inverse Kinematics Problem of Multi-link Robotic Systems with Rotational Joints. In: Ronzhin, A., Shishlakov, V. (eds) Proceedings of 14th International Conference on Electromechanics and Robotics “Zavalishin's Readings”. Smart Innovation, Systems and Technologies, vol 154. Springer, Singapore. https://doi.org/10.1007/978-981-13-9267-2_20
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DOI: https://doi.org/10.1007/978-981-13-9267-2_20
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