A successive approximation algorithm for the inverse position analysis of serial manipulators

Robotica ◽  
1999 ◽  
Vol 17 (5) ◽  
pp. 487-489 ◽  
Author(s):  
Xinhua Zhao ◽  
Shangxian Peng
Keyword(s):  
Approximation Algorithm ◽  
Numerical Method ◽  
Successive Approximation ◽  
Inverse Solution ◽  
Serial Manipulators ◽  
Position Analysis ◽  
Inverse Position Analysis

A new numerical method for the solution of the inverse position analysis of serial manipulators is presented. The main feature of the method that makes it attractive with respect to the method available in the literature, is its ability to search out the inverse solution of any precision quickly.

A new numerical algorithm for the inverse position analysis of all serial manipulators

Robotica ◽  
2005 ◽  
Vol 24 (3) ◽  
pp. 373-376 ◽  
Author(s):  
Yongjie Zhao ◽  
Tian Huang ◽  
Zhiyong Yang
Keyword(s):  
Approximation Algorithm ◽  
Successive Approximation ◽  
Numerical Algorithm ◽  
Inverse Solution ◽  
End Effector ◽  
Serial Manipulators ◽  
Position Analysis ◽  
Inverse Position Analysis ◽  
Simulation Results

A new fast successive approximation algorithm for the solution of the inverse position analysis of a general serial manipulator is presented. With the algorithm, we can search out the inverse solution of the serial manipulator quickly under the desired precision when the position of the three non-collinear end effector points is given. The position analysis of the 7R redundant serial manipulator is illustrated in the literature as an example. The simulation results verify the efficiency of the proposed algorithm. Since the three non-collinear end effector points can be selected at random, the algorithm can be applied to any other type serial manipulator.

Geometry and Position Analysis of a Novel Class of Hybrid Manipulators

1994 ◽  
Author(s):  
Change-de Zhang ◽  
Shin-Min Song
Keyword(s):  
Closed Form ◽  
Degrees Of Freedom ◽  
Parallel Manipulators ◽  
Parallel Mechanisms ◽  
Serial Manipulators ◽  
Closed Form Solutions ◽  
Position Analysis ◽  
Hybrid Manipulator ◽  
Load Carrying ◽  
Inverse Position Analysis

Abstract This paper presents a novel class of hybrid manipulators composed of two serially connected parallel mechanisms, each of which has three degrees of freedom. The lower and upper platforms respectively control the position and orientation of the end-effector. The advantages of this type of hybrid manipulator are larger workspace (as compared with parallel manipulators) and better rigidity and higher load-carrying capability (as compared with serial manipulators). The closed-form solutions of the forward and inverse position analyses are discussed. For forward position analysis, it is shown that the resultant equation for the positional mechanism is an 8-th order, a 6-th order, a 4-th order, or a 2-nd order polynomial, depending on the geometry and joint types of the passive subchain, while for the orientational mechanism, it is an 8-th order, or a 2-nd polynomial depending on the geometry. For inverse position analysis, it is demonstrated that the positional and orientational mechanisms both possess analytical closed-form solutions.

On the Numerical Inverse Kinematics of Robotic Manipulators

1987 ◽  
Vol 109 (1) ◽  
pp. 8-13 ◽  
Author(s):  
Kazem Kazerounian
Keyword(s):  
Inverse Kinematics ◽  
Robotic Manipulators ◽  
Analysis Method ◽  
Computationally Efficient ◽  
Serial Manipulators ◽  
Position Analysis ◽  
Zero Position

Based on the sequential motion of joints, a method is developed for the numerical inverse kinematics of serial manipulators. This algorithm is stable and computationally efficient and uses the zero position analysis method for robotic manipulators.

Position Analysis in Analytical Form of the 3-PSP Mechanism

1999 ◽  
Vol 123 (1) ◽  
pp. 51-55 ◽  
Author(s):  
Raffaele Di Gregorio ◽  
Vincenzo Parenti-Castelli
Keyword(s):  
Nonlinear Equations ◽  
Parallel Mechanism ◽  
Analytical Form ◽  
Rigid Bodies ◽  
The Other ◽  
Kinematic Chains ◽  
Position Analysis ◽  
Fixed Base ◽  
Inverse Position Analysis ◽  
Movable Platform

In this paper the direct and the inverse position analysis of a 3-dof fully-parallel mechanism, known as 3-PSP mechanism, is addressed and solved in analytical form. The 3-PSP mechanism consists of two rigid bodies, one movable (platform) and the other fixed (base), connected to each other by means of three equal serial kinematic chains (legs) of type PSP, P and S standing for prismatic and spherical pair respectively. Both the direct and the inverse position analysis of this mechanism lead to nonlinear equations that are difficult to solve. In particular, the inverse position analysis comprises different subproblems which need specific solution techniques. Finally a numerical example is reported.

Inverse position analysis, workspace determination and position synthesis of parallel manipulators with 3-RSR topology

Robotica ◽  
2003 ◽  
Vol 21 (6) ◽  
pp. 627-632 ◽  
Author(s):  
Raffaele Di Gregorio
Keyword(s):  
Parallel Manipulators ◽  
End Effector ◽  
New Approach ◽  
Position Analysis ◽  
Starting Point ◽  
Inverse Position Analysis ◽  
The Common ◽  
Three Degree Of Freedom ◽  
Position Synthesis

Manipulators with 3-RSR topology are three-degree-of-freedom parallel manipulators that may be either spherical or mixed-motion manipulators. The inverse position analysis (IPA) and the workspace determination of 3-RSR manipulators are addressed by means of a new approach. The new approach is centered on a particular form of the closure equations called compatibility equations. The compatibility equations contain only the six coordinates (end-effector coordinates) which locates the end-effector pose (position and orientation) with respect to the frame, and the geometric constants of the manipulator. When the manipulator geometry is assigned, the common solutions of the compatibility equations are the end-effector coordinates which identify the end-effector poses belonging to the manipulator workspace. Moreover, they can be the starting point to easily solve the IPA. The presented compatibility equations can be also used to solve the position synthesis of the 3-RSR manipulator. This way of solving the position synthesis will demonstrate that only approximated solutions exist when more than eight end-effector poses are given.

Sign in / Sign up

Export Citation Format

Share Document