scholarly journals Improved Inverse Kinematics Algorithm Using Screw Theory for a Six-DOF Robot Manipulator

10.5772/60834 ◽  
2015 ◽  
Vol 12 (10) ◽  
pp. 140 ◽  
Author(s):  
Qingcheng Chen ◽  
Shiqiang Zhu ◽  
Xuequn Zhang
Keyword(s):  
Inverse Kinematics ◽  
Screw Theory ◽  
Robot Manipulator ◽  
Six Dof

scholarly journals Inverse kinematic solution of 6R robot manipulators based on screw theory and the Paden–Kahan subproblem

2018 ◽  
Vol 15 (6) ◽  
pp. 172988141881829 ◽  
Author(s):  
Rongbo Zhao ◽  
Zhiping Shi ◽  
Yong Guan ◽  
Zhenzhou Shao ◽  
Qianying Zhang ◽  
...  
Keyword(s):  
Inverse Kinematics ◽  
Matrix Theory ◽  
Screw Theory ◽  
Robot Manipulator ◽  
Inverse Kinematic ◽  
Kinematic Calibration ◽  
Kinematic Parameters ◽  
Kinematics Modeling ◽  
High Level ◽  
Kinematic Solution

The traditional Denavit–Hatenberg method is a relatively mature method for modeling the kinematics of robots. However, it has an obvious drawback, in that the parameters of the Denavit–Hatenberg model are discontinuous, resulting in singularity when the adjacent joint axes are parallel or close to parallel. As a result, this model is not suitable for kinematic calibration. In this article, to avoid the problem of singularity, the product of exponentials method based on screw theory is employed for kinematics modeling. In addition, the inverse kinematics of the 6R robot manipulator is solved by adopting analytical, geometric, and algebraic methods combined with the Paden–Kahan subproblem as well as matrix theory. Moreover, the kinematic parameters of the Denavit–Hatenberg and the product of exponentials-based models are analyzed, and the singularity of the two models is illustrated. Finally, eight solutions of inverse kinematics are obtained, and the correctness and high level of accuracy of the algorithm proposed in this article are verified. This algorithm provides a reference for the inverse kinematics of robots with three adjacent parallel joints.

scholarly journals Algorithmic approach to geometric solution of generalized Paden–Kahan subproblem and its extension

2018 ◽  
Vol 15 (1) ◽  
pp. 172988141875515 ◽  
Author(s):  
Igor Dimovski ◽  
Mirjana Trompeska ◽  
Samoil Samak ◽  
Vladimir Dukovski ◽  
Dijana Cvetkoska
Keyword(s):  
Inverse Kinematics ◽  
Necessary Conditions ◽  
Screw Theory ◽  
Robot Manipulator ◽  
Theory Approach ◽  
Coordinate Systems ◽  
Number Of Solutions ◽  
Algorithmic Approach ◽  
Coordinate Frames ◽  
Inverse Kinematics Problem

Kinematics as a science of geometry of motion describes motion by means of position, orientation, and their time derivatives. The focus of this article aims screw theory approach for the solution of inverse kinematics problem. The kinematic elements are mathematically assembled through screw theory by using only the base, tool, and workpiece coordinate systems—opposite to conventional Denavit–Hartenberg approach, where at least n + 1 coordinate frames are needed for a robot manipulator with n joints. The inverse kinematics solution in Denavit–Hartenberg convention is implicit. Instead, explicit solutions to inverse kinematics using the Paden–Kahan subproblems could be expressed. This article gives step-by-step application of geometric algorithm for the solution of all the cases of Paden–Kahan subproblem 2 and some extension of that subproblem based on subproblem 2. The algorithm described here covers all of the cases that can appear in the generalized subproblem 2 definition, which makes it applicable for multiple movement configurations. The extended subproblem is used to solve inverse kinematics of a manipulator that cannot be solved using only three basic Paden–Kahan subproblems, as they are originally formulated. Instead, here is provided solution for the case of three subsequent rotations, where last two axes are parallel and the first one does not lie in the same plane with neither of the other axes. Since the inverse kinematics problem may have no solution, unique solution, or many solutions, this article gives a thorough discussion about the necessary conditions for the existence and number of solutions.

scholarly journals Inverse Kinematic Solution of 5R Manipulator using ANN and ANFIS

2015 ◽  
Vol 4 (2) ◽  
pp. 109
Author(s):  
Panchand Jha
Keyword(s):  
Neural Network ◽  
Artificial Neural Network ◽  
Fuzzy Inference System ◽  
Inverse Kinematics ◽  
Fuzzy Inference ◽  
Robot Manipulator ◽  
Ann Model ◽  
Inference System ◽  
Artificial Neural ◽  
Neural Fuzzy

<span>Inverse kinematics of manipulator comprises the computation required to find the joint angles for a given Cartesian position and orientation of the end effector. There is no unique solution for the inverse kinematics thus necessitating application of appropriate predictive models from the soft computing domain. Artificial neural network and adaptive neural fuzzy inference system techniques can be gainfully used to yield the desired results. This paper proposes structured artificial neural network (ANN) model and adaptive neural fuzzy inference system (ANFIS) to find the inverse kinematics solution of robot manipulator. The ANN model used is a multi-layered perceptron Neural Network (MLPNN). Wherein, gradient descent type of learning rules is applied. An attempt has been made to find the best ANN configuration for the problem. It is found that ANFIS gives better result and minimum error as compared to ANN.</span>

Trajectory Optimization and Simulation of Aerospace Robotic Arm

2013 ◽  
Vol 655-657 ◽  
pp. 1057-1060
Author(s):  
Li Jun Zong ◽  
Guang Kuo Wang ◽  
Xin Li ◽  
Lei Wang ◽  
Xiao Min Zhang ◽  
...  
Keyword(s):  
Trajectory Optimization ◽  
Inverse Kinematics ◽  
Aerospace Engineering ◽  
Robotic Arm ◽  
Robotic Arms ◽  
Kinematics Model ◽  
Six Dof ◽  
Optimization And Simulation ◽  
Vehicle Activity

Aerospace robotic arms have important applications in aerospace engineering (capture satellite, develop the technology of extra-vehicle activity (EVA), etc.) This paper first introduces the development and background of the Aerospace Robotic Arm. In later sections, a kinematics model of a Six-DOF manipulator is built based on DenavitHartenberg(D-H) method, then, the paper discusses an inverse kinematics solving method of the manipulator. At last, we show the simulation by integrating the use of SolidWorks, Matlab, and a number of their modules.

scholarly journals A novel solution of inverse kinematic for 6R robot manipulator with offset joint based on screw theory

2020 ◽  
Vol 17 (3) ◽  
pp. 172988142092564
Author(s):  
Zhiwei Liao ◽  
Gedong Jiang ◽  
Fei Zhao ◽  
Xuesong Mei ◽  
Yang Yue
Keyword(s):  
Joint Angle ◽  
Screw Theory ◽  
Robot Manipulator ◽  
Inverse Kinematic ◽  
Transformation Matrix ◽  
Inverse Kinematic Problem ◽  
End Effector ◽  
Closed Form Solutions ◽  
Specific Configuration ◽  
Kinematic Approach

This article proposes a novel inverse kinematic approach with translation transformation matrix based on screw theory to solve the inverse kinematic problem for 6R robot manipulator with offset joint. The translation transformation matrix is introduced to convert the 6R robot manipulator with offset joint to a new configuration with intersecting axes, and the mapping relationship from the end effector to the joint angle is established along with the Paden–Kahan subproblems. The eight closed solutions of the specific configuration are deduced, which automatically eliminate the singularity solutions. Moreover, the precision and efficiency of the proposed method are verified through a numerical example. Unlike other approaches, the presented algorithm not only inherits the superior accuracy of the other geometric approaches but also exhibits an outperform efficiency. Finally, the method is generalized to other 6R robots, which has closed-form solutions to further verify its versatility. The presented study provides some basis for further investigations, such as trajectory planning and motion control, which provides a new tool on the analysis and application of this kind of robot manipulator.

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