{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T01:14:01Z","timestamp":1722993241227},"reference-count":16,"publisher":"Fuji Technology Press Ltd.","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Robot. Mechatron.","JRM"],"published-print":{"date-parts":[[2009,2,20]]},"abstract":"We proposed a new approach for redundant robots trajectories planning, based on the Null space (or Kernel) features. The Null space (Kernel) exists only in the case of redundant robots and it describes these joints motion which do not affect the robot end-effector motion in the sense of both position and orientation. Based on this \u201chidden motion\u201d realized in the configuration space, which does not affect the motion in the working zone, we can control independently the robot end-effector position and orientation motions, or just maintain its state while some external force is applied to it.<\/jats:p>The proposed control strategy is simple, no additional penalty functions are used to restraint the end-effector motion as in the case of the conventional methods. No pseudo inverse kinematics calculations are required; the desired trajectories are generated directly in the configuration space. No complicated control schemes are introduced, the proposed method is based on solving algebraic systems of equations and finding eigenvectors and eigenvalues.<\/jats:p>In the paper the results from simulations and experiments based on the proposed method are presented and discussed.<\/jats:p>","DOI":"10.20965\/jrm.2009.p0104","type":"journal-article","created":{"date-parts":[[2016,4,14]],"date-time":"2016-04-14T06:18:46Z","timestamp":1460614726000},"page":"104-112","source":"Crossref","is-referenced-by-count":0,"title":["Force Compensating Trajectories for Redundant Robots: Experimental Results"],"prefix":"10.20965","volume":"21","author":[{"given":"Daniela","family":"Vassileva","sequence":"first","affiliation":[]},{"name":"Harmonic Drive Systems Inc., 1856-1 Hotakamaki, Azumino, Nagano 399-8305, Japan","sequence":"first","affiliation":[]},{"given":"George","family":"Boiadjiev","sequence":"additional","affiliation":[]},{"given":"Haruhisa","family":"Kawasaki","sequence":"additional","affiliation":[]},{"given":"Tetsuya","family":"Mouri","sequence":"additional","affiliation":[]},{"name":"Mechatronics Systems Department, Institute of Mechanics, BAS, Acad. G. Bonchev Str., bl. 4, Sofia 1113, Bulgaria","sequence":"additional","affiliation":[]},{"name":"Department of Human and Inf. Syst., Gifu University, 1-1 Yanagido, Gifu 501-1193, Japan","sequence":"additional","affiliation":[]}],"member":"8550","published-online":{"date-parts":[[2009,2,20]]},"reference":[{"key":"key-10.20965\/jrm.2009.p0104-1","unstructured":"R. Murray, Z. Li, and S. Sastry, \u201cA Mathematical Introduction to Robotic Manipulation,\u201d CRC Press, pp. 456, 1994."},{"key":"key-10.20965\/jrm.2009.p0104-2","doi-asserted-by":"crossref","unstructured":"D. Bertram, J. Kuffner, R. Dillmann, and T. Asfour, \u201cAn integrated approach to inverse kinematics and path planning for redundant manipulators,\u201d Proc. Of IEEE Conf. on Robotics and Automation, pp. 1874-1879, Orlando, 2006.","DOI":"10.1109\/ROBOT.2006.1641979"},{"key":"key-10.20965\/jrm.2009.p0104-3","doi-asserted-by":"crossref","unstructured":"O. Yonghwan, C. Wankyun, and Y. 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