2018
DOI: 10.5545/sv-jme.2017.5182
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A Weighted Gradient Projection Method for Inverse Kinematics of Redundant Manipulators Considering Multiple Performance Criteria

Abstract: Among the many methods of solving inverse kinematics (IK) of redundant manipulators, the classic weighted least-norm (WLN) method is often introduced to avoid joint position limits effectively but cannot be extended to restrict other constraints. Another general technique uses the fashioned gradient projection method (GPM) that ensures successes of the main task and the constraints-based subtasks but suffers with regard to the proper selections for the coefficients of performance criteria. Inspired by the meri… Show more

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Cited by 5 publications
(3 citation statements)
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“…The gradient projection method projects the optimization function of the self-motion gradient to the null space of the Jacobian matrix, which can adjust the configuration to avoid obstacles without affecting the end-effector motion. The optimization function usually consists of distance in different forms, such as distance from the key point to obstacles [ 8 ] and repulsive potential field generated by obstacles [ 9 ]. However, the GPM may lead to joint singularity or joint position limits while avoiding obstacles; thus the manipulator will fail to track the desired trajectory.…”
Section: Introductionmentioning
confidence: 99%
“…The gradient projection method projects the optimization function of the self-motion gradient to the null space of the Jacobian matrix, which can adjust the configuration to avoid obstacles without affecting the end-effector motion. The optimization function usually consists of distance in different forms, such as distance from the key point to obstacles [ 8 ] and repulsive potential field generated by obstacles [ 9 ]. However, the GPM may lead to joint singularity or joint position limits while avoiding obstacles; thus the manipulator will fail to track the desired trajectory.…”
Section: Introductionmentioning
confidence: 99%
“…In order to make more reasonable and effective use of the existing working space and ensure the safe and reliable operation of the parallel power head, the method of trajectory planning and space limitation is often adopted [19] and [20]. Khoukhi et al [21] proposed a multi-objective dynamic trajectory planning method for the parallel mechanism under the constraints of task, workspace, and mechanism with the help of the discrete augmented Lagrangian technique.…”
Section: Introductionmentioning
confidence: 99%
“…It is hoped that the improvement of the driving method will make the soft manipulators move more quickly and more powerfully. Jun et al [16] proposed a weighted gradient projection method to resolve inverse kinematics problems of redundant manipulators with multiple performance criteria. Brown et al [17] developed a "coffee bag"-shaped blocking-based software manipulator that achieves the capture of objects of different shapes by blocking between different parts.…”
Section: Introductionmentioning
confidence: 99%