Study on the Optimal Posture for Redundant Robot Manipulators Based on Decomposed Manipulability

분리된 조작도를 이용한 여유자유도 로봇의 최적 자세에 관한 연구

  • 이지홍 (충남대학교 메카트로닉스 공학과) ;
  • 원경태 (충남대학교 메카트로닉스 공학과)
  • Published : 1999.04.01

Abstract

The conventional robot manipulability is decomposed into linear manipulability and angular manipulability so that they may be analysed and visualized in easy way even in the case of 3 dimensional task space with 6 variables. After the Jacobian matrix is decomposed into linear part and angular part, constraint on joint velocities is transformed into linear task velocity and angular task velocity through the decomposed Jacobian matrices. Under the assumption of redundant robot manipulators, several optimization problems which utilize the redundancy are formulated to be solved by linear programming technique or sequential quadratic programming technique. After deriving the solutions of the optimization problems, we give graphical interpretations for the solutions.

Keywords

References

  1. Robotics Research, The First International Symposium Analysis and control of robot manipulator with redundancy T.Yoshikawa
  2. IEEE Trans. Robotics and Automation v.11 no.3 Robot manipulability K.L.Doty;C.Melchiorri;E.M.Schwartz;Claudio Bonivento
  3. Proc. of Int'l Conf. on Automation, Robotics, Control, and Vision Optimal configuration control for redundant robot manipulators J.Lee
  4. IEEE/RSJ IROS'95 Analysis of the acceleration characteristics of non-redundant manipulators A.Bowling;O.Khatib
  5. IEEE/RSJ IROS'97 A study on the manipulability measures for robot manipulators J.Lee
  6. Lectrues on Polytopes G.M.Ziegler
  7. Journal of Association for Computing Machinery v.17 no.1 An algorithm for conves polyoptes D.R.Chand;S.S.Kapur
  8. IEEE Trans. Robotics and Automation v.10 no.1 Resolving manipulator redundancy under inequality constraints F.T.Cheng(et al.)
  9. Tech. Report NASA TM-4377 Kinematic equations for Control of the Redundant Eight-Degree-of-Freedom Advanced Research Manipulator Ⅱ R.L.Williams Ⅱ
  10. Redundancy and Optimization Y.Nakamura
  11. Euclidean Geometry and Convexity R.V.Benson
  12. SIAM J. Number, Anal. v.10 no.4 A finite algorithm for the minimum $l_\infty$ solution to a system of consistent linear equations J.A.Cadzow
  13. Proc. of IEEE conf. of Robotics Automation'93 Minimum infinity-norm inverse kinematic solution for redundant manipulators A.S.Deo;I.D.Walker
  14. Introduction to Optimum Design J.S.Arora