Abstract
Redundant manipulators can employ additional degrees to achieve secondary objectives when performing the trajectory tracking, such as avoiding the mechanical limits of the manipulator’s joints through the Jacobian null space properties. This article presents an improvement to the classical kinematic solution for redundant serial manipulators, changing the secondary gains to a variable vector that replaces the constant scalar gain. Also, a method is suggested for the variation of those gains. The application is demonstrated in trajectories for the Movemaster RV-M2 robot to prove the effectiveness of this change. As a result, the path of the manipulator’s joints remains further away from their limits along the path, maintaining the position error profile in the end-effector.
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References
Huo, L., Baron, L.: Kinematic inversion of functionally-redundant serial manipulators: application to arc-welding. Trans. Can. Soc. Mech. Eng. 29(4), 679–690 (2005)
Huo, L., Baron, L.: The joint-limits and singularity avoidance in robotic welding. Ind. Robot: Int. J. (2008)
Baron, L.: Kinematic inversion of functionally-redundant serial manipulators: application to deburing tasks. In: 13th World Multi-Conference on Systemics, Cybernetics and Informatics, pp. 945–953 (2009)
Caruso, M., Gallina, P., Seriani, S.: On the modelling of tethered mobile robots as redundant manipulators. Robotics 10(2), 81 (2021)
Huo, L., Baron, L.: The self-adaptation of weights for joint-limits and singularity avoidances of functionally redundant robotic-task. Robot. Comput.-Integr. Manuf. 27(2), 367–376 (2011)
Chen, Y., McInroy, J.E., Yi, Y.: Optimal, fault-tolerant mappings to achieve secondary goals without compromising primary performance. IEEE Trans. Robot. Autom. 19(4), 680–691 (2003)
Faria, C., Ferreira, F., Erlhagen, W., Monteiro, S., Bicho, E.: Position-based kinematics for 7-DoF serial manipulators with global configuration control, joint limit and singularity avoidance. Mech. Mach. Theory 121, 317–334 (2018)
Faroni, M., Beschi, M., Visioli, A., Pedrocchi, N.: A real-time trajectory planning method for enhanced path-tracking performance of serial manipulators. Mech. Mach. Theory 156, 104152 (2021)
Tian, X., Xu, Q., Zhan, Q.: An analytical inverse kinematics solution with joint limits avoidance of 7-DoF anthropomorphic manipulators without offset. J. Franklin Inst. 358(2), 1252–1272 (2021)
Campeau-Lecours, A., Gosselin, C.: An anticipative kinematic limitation avoidance algorithm for collaborative robots: two-dimensional case. In: 2016 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 4232–4237. IEEE (2016)
LeBel, P., Gosselin, C., Campeau-Lecours, A.: An anticipative kinematic limitation avoidance algorithm for collaborative robots: three-dimensional case. In: 2017 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 3075–3080. IEEE (2017)
Duong, T.H., Jaksic, N.I.: Let’s not throw away that big and bulky manipulator–revitalize it! In: 2018 ASEE Annual Conference & Exposition (2018)
de Oliveira, A.S., De Pieri, E.R., Moreno, U.F., Martins, D.: A new approach to singularity-free inverse kinematics using dual-quaternionic error chains in the davies method. Robotica 34(4), 942–956 (2016)
de Oliveira, A.S., De Pieri, E.R., Moreno, U.F.: A new method of applying differential kinematics through dual quaternions. Robotica 35(4), 907–921 (2017)
Sciavicco, L., Siciliano, B.: Modelling and Control of Robot Manipulators. Springer, Heidelberg (2012). https://doi.org/10.1007/978-1-4471-0449-0
Wan, J., Wu, H.T., Ma, R., Zhang, L.: A study on avoiding joint limits for inverse kinematics of redundant manipulators using improved clamping weighted least-norm method. J. Mech. Sci. Technol. 32(3), 1367–1378 (2018). https://doi.org/10.1007/s12206-018-0240-7
Huang, S., Peng, Y., Wei, W., Xiang, J.: Clamping weighted least-norm method for the manipulator kinematic control: avoiding joint limits. In: Proceedings of the 33rd Chinese Control Conference, pp. 8309–8314. IEEE (2014)
Acknowledgement
This project was partially funded by National Counsil of Technological and Scientific Development of Brazil (CNPq), and by Coordination for the Improvement of Higher Level People (CAPES).
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Cerbaro, J., Martinelli, D., de Oliveira, A.S., Fabro, J.A. (2023). A Novel Algorithm for Maximization of the Secondary-Task Function for Redundant Serial Manipulators. In: Tardioli, D., Matellán, V., Heredia, G., Silva, M.F., Marques, L. (eds) ROBOT2022: Fifth Iberian Robotics Conference. ROBOT 2022. Lecture Notes in Networks and Systems, vol 590. Springer, Cham. https://doi.org/10.1007/978-3-031-21062-4_18
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