2023
DOI: 10.3390/machines11070669
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An Improved Unit Quaternion for Attitude Alignment and Inverse Kinematic Solution of the Robot Arm Wrist

Abstract: This paper introduces a new method for kinematic modeling of the robot arm by deriving a new elegant mathematical formula based on the axis vector with the tangent of the rotation angle. For this purpose, an innovative analytical quaternion is introduced through integration between Axis-Invariants and unit quaternion features named Ju-Gibbs quaternion, which expresses the body rotation with non-redundant parameters compared with the quaternions in literature. Two theorems based on the new form of the quaternio… Show more

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Cited by 6 publications
(4 citation statements)
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“… ( a ) Experimental setup for beam deflection measurement based on weak power recovery values [ 93 ]; ( b ) quaternion [ 96 ]. …”
Section: High-precision With Single Axismentioning
confidence: 99%
“… ( a ) Experimental setup for beam deflection measurement based on weak power recovery values [ 93 ]; ( b ) quaternion [ 96 ]. …”
Section: High-precision With Single Axismentioning
confidence: 99%
“…The optimization process iterates until convergence, where cluster assignments remain unchanged. Subsequently, the improved GA employs clustered and optimized tourism objectives to solve the TSP and recommend the optimal tourism path [24][25][26][27]. In summary, the main contributions of this paper are as follows:…”
Section: Introductionmentioning
confidence: 99%
“…In the study, an adaptive controller was also designed to control the motion of the robot, and the effectiveness of the controller was validated through simulation. Ahmed et al [17] proposed a new analytical quaternion based on the axis vector with the tangent of the rotation angle, which was used to establish the kinematic model of the robot arm. Jiang et al [18] proposed a combination of geometric and algebraic methods for the calculation of the inverse kinematics of a mine cart robot arm.…”
Section: Introductionmentioning
confidence: 99%