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Dynamic Optimization with a New Performance Index for a 2-DoF Translational Parallel Manipulator

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 7507)

Abstract

The dynamic analysis and optimization problem of a 2-DoF Translational Parallel Manipulator (TPM) is addressed in this paper. Based on the principle of virtual work and the concept of link Jacobian matrix, the explicit expressions of the dynamic model of the 2-DoF TPM in the global task space are derived. Using the dynamic model, a global and comprehensive dynamic performance index (GCDPI) is proposed to evaluate the manipulator capabilities in terms of dynamic manipulability and dexterity in the prescribed task space. The dynamic optimization problem, which aims at providing the largest, the most isotropic and the most uniform dynamic manipulability of the 2-DoF TPM in the task space, is formulated as the minimization of GCDPI subjected to a set of appropriate constraints. Optimization results showed that the dynamic manipulability of the 2-DoF TPM with optimized kinematic and inertial parameters improves greatly in the prescribed task space. The dynamic equations are also incorporated in the hardware in the loop simulation of the 2-DoF TPM and experimental results show the tracking errors of the linear motor can be improved greatly when a nonlinear computed torque feedforward controller is implemented in addition to the cascade position controller.

Keywords

  • translational parallel manipulator
  • operational space formulation
  • global and comprehensive dynamic performance index (GCDPI)
  • hardware in the loop simulation (HILS)

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© 2012 Springer-Verlag Berlin Heidelberg

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Zhang, G., Liu, P., Ding, H. (2012). Dynamic Optimization with a New Performance Index for a 2-DoF Translational Parallel Manipulator. In: Su, CY., Rakheja, S., Liu, H. (eds) Intelligent Robotics and Applications. ICIRA 2012. Lecture Notes in Computer Science(), vol 7507. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33515-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-33515-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33514-3

  • Online ISBN: 978-3-642-33515-0

  • eBook Packages: Computer ScienceComputer Science (R0)