Motion Planning and Control of Parallel Mechanisms Through Inverse Dynamics

  • M. Necip Sahinkaya
  • Yanzhi Li
Part of the Solid Mechanics and its Applications book series (SMIA, volume 130)


The inverse dynamic analysis of an electro-mechanical system consisting of a three-degree-of-freedom planer parallel mechanism driven by three motors is carried out. A successful linearisation of the system and error dynamics is achieved for each desired motion. The linearised models are used in the adaptive control strategy avoiding the need to perform the computationally intensive inverse dynamic simulation in real-time. It is shown that accurate linear models can be obtained for a given motion, but model parameters change significantly with change of the motion. Significant differences are also observed between the system dynamics and the error dynamics models. The presented simulation results show the effectiveness of the adaptive control strategy.

Key words

inverse dynamics parallel mechanisms motion planning adaptive control 


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  1. Astrom, K.J. and Wittenmark, B. (1990). Computer Controlled Systems: Theory and Design, 2nd edition. Prentice-Hall, Englewood Cliffs, NJ.Google Scholar
  2. Geike, T. and McPhee, J. (2003). Inverse dynamic analysis of parallel manipulators with full mobility. Mechanism and Machine Theory, 38(6):549–562.CrossRefMathSciNetGoogle Scholar
  3. Gosselin, C. and Angeles, J. (1988). The optimum kinematic design of a planar three degree of freedom parallel manipulator. Journal of Mechanisms, Transmissions and Automotion in Design, 110(1):35–41.Google Scholar
  4. Merlet, J.P. (1996). Direct kinematic design of planar manipulators. Proceedings, IEEE International Conference on Robotics and Automation, 1-4:3744–3749.Google Scholar
  5. Merlet, J.P. (2000). Parallel Robots, 1st edition. Kluwer Academic Publishers, Dordrecht.Google Scholar
  6. Sahinkaya, M.N. and Li, Y. (2005). Inverse dynamic analysis and linearisation of a high speed parallel mechanism. ASME DETC2005, 29th Mechanisms and Robotics Conference, Long Beach, CA, USA, submitted.Google Scholar
  7. Sahinkaya, M.N. (2001). Input shaping for vibration free positioning of flexible systems. Proc. Instn. Mech. Engrs., Part I, Journal of Systems and Control Engineering, 215(I5):467–481.Google Scholar
  8. Sahinkaya, M.N. (2004). Inverse dynamic analysis of multiphysics systems. Proc. Instn. Mech. Engrs., Part I, Journal of Systems and Control Engineering, 218(I1):13–26.Google Scholar
  9. Schroeder, M.R. (1970). Synthesis of low-peak-factor signals and binary sequences with low auto correlation. IEEE Trans. on Information and Theory, pp. 85–89.Google Scholar

Copyright information

© Springer 2005

Authors and Affiliations

  • M. Necip Sahinkaya
    • 1
  • Yanzhi Li
    • 1
  1. 1.Centre for Power transmission and Motion Control, Department of Mechanical EngineeringUniversity of BathUK

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