Abstract
The attitude control of a horizontal underactuated Manipulator (UAM) is a difficult control problem because of its second-order nonholonomic constraints. This paper proposes a new method for the trajectory planning of the UAM. In the proposed method, the trajectory planning is transformed to a constraint satisfaction problem, and the constraint satisfaction problem is solved by using a sequence of multi-layer perceptrons which are trained to be a forward model of the UAM. We show the effectiveness of our method by several experimental results.
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Oriolo, G., Nakamura, Y.: Free-Joint Manipulators: Motion Control under Second-Order Nonholonomic Constraints. In: Proc. IEEE/RSJ Int. Workshop on Intelligent Robots and Systems (IROS 1991), pp. 1248–1253 (1991)
Arai, H.: Noholonomic Control of Underactuated Manipulator. System / Control / Information 43(10), 360–553 (1999)
Shibuya, T., Shimada, S., Hamagami, T.: Swinging up Acrobot using Complex-Valued Reinforcement Learning. In: The 21st Annual Conference of the Japanese Society for Artificial Intelligence (2007)
Yoshimoto, J., Ishii, S., Sato, M.-a.: Application of Reinforcement Learning Based on On-Line EM Algorithm to Balancing of Acrobot, Institute of Electronics. Information and Communication Engineers, J83-DII (3), 1024–1033 (2000)
Blackmore, L., Williams, B.C.: Optimal Manipulator Path Planning with Obstacles Using Disjunctive
Shiroma, N., Lynch, K.M., Arai, H., Tanie, K.: Motion Planning for a Three-Axis Planar Manipulator with a Passive Revolute Joint. Transactions of the Japan Society of Mechanical Engineers (C) 66(642), 545–552 (2000)
Shiroma, N., Arai, H., Tanie, K.: Noholonomic Motion Planning for Coupled Planar Rigid Bodies with Passive Revolute Joints. Japan Society of Mechanical Engineers (C) 66(642), 545–552 (2000)
Barraquand, J., Latombe, J.-C.: Nonholonomic Multibody Mobile Robots: Controllability and Motion Planning in the Presence of Obstacles. Algorithmica 10, 121–155 (1993)
Nagatatu, M., Yannaru, T.: On the stability of Lagrange programming neural networks of satisfiability problems of propositional calculus. Neurocomputing 13, 119–133 (1995)
Zhang, K., Nagamatu, M.: Solving SAT by Mixed Parallel Execution with Biased Population Ratio. In: Proceedings of the 12th International Conference on Neural Information Processing (ICONIP 2005), pp. 139–144 (2005)
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Nishida, Y., Nagamatu, M. (2009). Trajectory Planning with Dynamics Constraints for an Underactuated Manipulator. In: Köppen, M., Kasabov, N., Coghill, G. (eds) Advances in Neuro-Information Processing. ICONIP 2008. Lecture Notes in Computer Science, vol 5506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02490-0_96
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DOI: https://doi.org/10.1007/978-3-642-02490-0_96
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-02489-4
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