Abstract
The paper presents the results of a numerical experiment that demonstrates the effectiveness of a control algo-rithm that maintains a sufficiently high numerical value of the robot's manipulability function , which ensures «remoteness» from a singular configuration. The problem of approaching the end effector of the space manipula-tor Canadarm2, which has seven degrees of freedom (one redundant generalized coordinate), with an object mov-ing along a known trajectory, is considered. To the six parameters that determine the position and orientation of the gripper in absolute space, a «kinematic» function , depending on the relative rotation angles of the links, has been added. In this case, the kinematics equations became closed with respect to the rotation angles. The control law includes a condition for maintaining a certain numerical value that exceeds the minimum allowable value. Illustrations in the form of three-dimensional animation obtained on the basis of numerical integration of the equa-tions of controlled motion of the manipulator and the object were built using the Mathematica computer algebra system.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
