Abstract
An effective method of time optimal trajectory planning is proposed for a high-speed planar parallel manipulator. First, the direct position and inverse position of the manipulator is analyzed according to its vector relation between each chain in order to get set of displacement in working and joint space. Second, cubic spline functions are used for constructing joint trajectories for the manipulator and piecewise cubic polynomials are used to fit the sequence of joint displacements for each joint. On this basis, the method of flexible polyhedron search is employed to plan the time intervals between each pair of adjacent knots so that the total time is minimized subject to the physical constrains on joint velocities, accelerations and jerks. The approach has been applied to the novel parallel manipulators and the desired displacements, velocities and accelerations of each joint have been obtained to meet the need of high-speed operations. The results show the method is feasible and practical.
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References
Yuan, J.: Kinematics Analysis and Control of Novel Lower-Mobility Parallel Mechanisms. D. South China University of Technology, Guangzhou (2007)
Xin, H., Yu, Y.: Introduction to Kinematics of Planar Five-bar Parallel Robots. National Defense Industry Press, Beijing (2007)
Lin, C.-s., Chang, P.-r., Luh, J.Y.S.: Formulation and Optimization of Cubic Polynomial Joint Trajectories for Industrial Robots. J. IEEE Transactions on Automatic Control 28(12), 1066–1074 (1983)
Liu, W., Meng, Q., Wang, Z.: Research on Linear Motion Interpolation of Parallel Machine Tool. J. China Mechanical Engineering 15(1), 27–29 (2004)
sun, J.: Optimal Design of Machine. China Machine Press, Beijing (2005)
Wang, Y.: Optimal Design of Bezier Curves Trajectory in Robot Joint Space. J. Mechanical Science and Technolog 20(3), 350–352 (2001)
Huang, T., Mei, J.P., Li, Z.X.: A Method for Estimating Servomotor Parameters of a Parallel Robot for Rapid Pick-and-Place Operations. J. ASME Journal of Mechanical Design 127(4), 596–601 (2005)
Behzadipour, S., Khajepour, A.: Time-Optimal Trajectory Planning in Cable-Based Manipulators. J. IEEE Transactions on Robotics 22(3), 559–563 (2006)
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© 2008 Springer-Verlag Berlin Heidelberg
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Hu, J., Zhang, X., Zhan, J. (2008). Trajectory Planning of a Novel 2-DoF High-Speed Planar Parallel Manipulator. In: Xiong, C., Huang, Y., Xiong, Y., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2008. Lecture Notes in Computer Science(), vol 5314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88513-9_22
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DOI: https://doi.org/10.1007/978-3-540-88513-9_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88512-2
Online ISBN: 978-3-540-88513-9
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