A study on the control-in-the-small characteristics of a planar parallel mechanism

평면형 병렬 메카니즘의 국소적 제어 특성에 관한 연구

  • Kim, Whee-kuk (Dept.of Control and Instrumentation Engineering, Korea University) ;
  • Cho, Whang (Dept.of Control Instrumentation Engineering, Kwangwoon University) ;
  • Kim, Jae-Seoub (Dept.of Control and Instrumentation Engineering, Korea University)
  • 김희국 (고려대학교 제어계측공학과) ;
  • 조황 (광운대학교 제어계측공학과) ;
  • 김재섭 (고려대학교 제어계측공학과)
  • Published : 1998.06.01

Abstract

In this paper, output precision characteristics of a planar 6 degree-of-freedom parallel mechanisms are investigated, where the 6 degree-of-freedom mechanism is formed by adding an additional link along with an actuated joint in each serial subchain of the planar 3 degree-of-freedom parallel mechanism. Kinematic analysis for the parallel mechanism is performed, and its first-order kinematic characteristics are examined via kinematic isotropic index, maximum and minimum input-output velocity transmission ratios of the mechanisms. Based on this analysis, two types of planar 6 degrees-of-freedom parallel manipulators are selected. Then, dynamic characteristics of the two selected planar 6 degree-of-freedom parallel mechanisms, via Frobenius norms of inertia matrix and power modeling array, are investigated to compare the magnitudes of required control efforts of both three large actuators and three small actuators when the link lengths of three additional links are changed. It can be concluded from the analysis results that each of these two planar 6 degrees-of-freedom parallel mechanisms has an excellent control-in-the-small characteristics and therefore, it can be very effectively employed as a high-precision macro-micro manipulator when both its link lengths and locations of small and large actuators are properly chosen.

Keywords

References

  1. IEEE Int'l Conf. Robotics & Automation A micropositioning device for precision automatic assembly using impact force of piezoelectric elements Y. Yamagata;T. Higuchi
  2. IEEE Int'l Conf. Robotics & Automation Micromanipulation using magnetic field T. Inoue;K. Iwatani;I. Shimoyama;H. Miura
  3. IEEE Int'l Conf. Robotics & Automation Micro manipulator motion control to suppress macro-manipulator sturctural vibration J. Y. Lew(et al.)
  4. IEEE Int. Conf. Robotics and Automations Design and control of a redundant mechanism for small Motion J. K. Salisbury;J.D. Abramowitz
  5. IEEE Int'l Conf. Robotics & Automation A six degree of freedom micromanipulator for opthalmic surgery K. W. Grace(et al.)
  6. Ph. D. dissertation Univ. of Texas at Austin Development of a dynamic modeling technique and its application to the analysis and control of a high precision robotic manipulator W. Cho
  7. Trans. ASME. v.104 Dynamic modeling of serial manipulator arms M. Thomas;D. Tesar
  8. ASME Conf. Preceedings of Flexible Mech. Dyn. and Robot Trajectories, DE v.24 Constraint-embedding approaches for general closed-chan system dynamics in terms of a minimum coordinate set H.J. Kang;B. J. Yi;W. Cho;R. A. Freeman
  9. Proc. 20th ASME mechanisms Conf. v.15 Dynamic modeling of serial and parallel mecnanisms/robotic system: Part I - methodology, Prat II - applications R. A. Freeman
  10. KSME Journal v.9 no.4 Optimal synthesis of a wrist-type 6 degree-of-freedom force/torque sensor using Stewart platfrm sutrcture W. K. Kim;K. K. Huh;B. J. Yi;W. Cho