Abstract
In this paper, an acceleration-level scheme is proposed for the self-motion planning (SMP) of redundant manipulators. Besides, the equivalence between the velocity-level and acceleration-level SMP schemes is discovered and proved by using Zhang et al.’s neural-dynamic method. Simply put, the equivalence exists when related parameters satisfy some conditions. For further verification, the two schemes are unified into one quadratic program (QP) formulation, which can be solved by the MATLAB routine “QUADPROG”. Computer simulations based on a five-link planar robot arm performing the self-motion demonstrate both the efficacy of the proposed acceleration-level SMP scheme and the equivalence of the two different-level SMP schemes.
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Zhang, Y.N., Zhu, H., Tan, Z.G., Cai, B.H., Yang, Z.: Self-Motion Planning of Redundant Robot Manipulators Based on Quadratic Program and Shown via PA10 Example. In: 2nd International Symposium on Systems and Control in Aerospace and Astronautics, Shenzhen, pp. 523–528 (2008)
Zhang, Y.N., Huang, Y., Guo, D.S.: Self-Motion Planning of Functionally Redundant PUMA560 Manipulator via Quadratic-Program Formulation and Solution. In: IEEE International Conference on Mechatronics and Automation, Changchun, pp. 2518–2523 (2009)
Zhang, Y.N., Jiang, D.C., Wang, J.: A Recurrent Neural Network for Solving Sylvester Equation with Time-Varying Coefficients. IEEE Trans. Neural Netw. 13(5), 1053–1063 (2002)
Zhang, Y.N.: Analysis and Design of Recurrent Neural Networks and their Applications to Control and Robotic Systems. Ph.D. Dissertation, Chinese University of Hong Kong (2002)
Zhang, Y.N., Wang, J., Xia, Y.S.: A Dual Neural Network for Redundancy Resolution of Kinematically Redundant Manipulators Subject to Joint Limits and Joint Velocity Limits. IEEE Trans. Neural Netw. 14(3), 658–667 (2003)
Zhang, Y.N., Tan, Z.G., Chen, K., Yang, Z., Lv, X.J.: Repetitive Motion of Redundant Robots Planned by Three Kinds of Recurrent Neural Networks and Illustrated with a Four-Link Planar Manipulator’s Straight-Line Example. Robot. Auton. Syst. 57(6-7), 645–651 (2009)
Zhang, Y.N., Ma, S.G.: Minimum-energy redundancy resolution of robot manipulators unified by quadratic programming and its online solution. In: IEEE International Conference on Mechatronics and Automation, Harbin, pp. 3232–3237 (2007)
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© 2012 Springer-Verlag Berlin Heidelberg
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Zhang, Y., Wu, H., Zhang, Z., Fu, S., Yin, Y. (2012). Different-Level Schemes’ Equivalence for Self-Motion Planning of Robot Manipulators. In: Lei, J., Wang, F.L., Deng, H., Miao, D. (eds) Artificial Intelligence and Computational Intelligence. AICI 2012. Lecture Notes in Computer Science(), vol 7530. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33478-8_2
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DOI: https://doi.org/10.1007/978-3-642-33478-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33477-1
Online ISBN: 978-3-642-33478-8
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