# Questions tagged [inverse-kinematics]

Inverse kinematics is a subtopic of kinematics dealing with equations that describe the joint parameters necessary to move a robotic arm to a particular position. Also called motion planning.

169 questions
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### Robots with less than 6 degrees of freedom

Is there any possibility to have a robot with less than six degrees of freedom & still be able to achieve any position & orientation around end effector?
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### Which is best way to calculate inverse kinematics for scara robot?

I am working on scara robot project and I have one big confusion. I am using simple trigonometric way(tan inverse traingl formula) to calculate inverse kinematics . But lot of people suggested me to ...
3answers
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### Most accurate rotation representation for small angles

Assume that I have a rigid body for which I know that it can rotate with respect to a global reference frame (which is considered fixed and already given) for only a few degrees of angle, so I can ...
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### Inverse kinematics after calibration

I am working on a 6DOF robot arm project and I have one big question. When I first derived the inverse kinematics (IK) algorithm after decoupling (spherical wrist), I could easily get the equations ...
2answers
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### Manipulator end-effector orientation with quaternions

I have the following problem: Given 3 points on a surface, I have to adjust a manipulator end-effector (i.e. pen) on a Baxter Robot, normal to that surface. From the three points I easily get the ...
1answer
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### Human arm inverse kinematics

Hi I want to implement an human arm robot and a task such as moving a glass between two points using Robotic Toolbox for Matlab by Peter Coorke. I'm a student and I'm a newbie in this kind of things ...
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### Jacobian method for inverse kinematics

I have big problem. I have to solve inverse kinematics for a manipulator with 6-DOF using jacobian method. From what I know to do that I need to have matrix of transformation and Denavit–Hartenberg ...
3answers
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### Finding inverse kinematics algorithm for a specific manipulator

I need to find a way to solve invrese kinematics for Comau SMART-3 robot. Could you give me a few hints where to start looking? I have no idea about robotics and I couldn't find an algorithm for this ...
2answers
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### Understanding MoveIt! and OMPL more deeply

I wanted to know the actual mathematics behind the path planners MoveIt! uses for manipulators from OMPL. I tried to look into source codes but couldn't get enough details. I wish to know: How cost ...
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### constraining rotation in jacobian IK algorithm

i'm implementing a damped least squares IK algorithm for an articulated arm, based on the work here. I have the algorithm working well, but it occasionally produces solutions that have segments ...
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### Finding Joint speeds for each joint of a 6DOF arm (UR10) using the Inverse Jacobian

Background: I have access to a UR-10, 6DOF robotic arm through my school (I'm very new to robotics). I know the desired set of linear speeds that I want in the x,y, z-direction in terms of the end ...
2answers
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### Derivative of a Jacobian matrix

I have an RRR planar robot: Its forward kinematics transform is:  {}^{0}T_3 = \\ \left[\begin{array}{cccc} \cos\!\left(\mathrm{\theta_1} + \mathrm{\theta_2} + \mathrm{\theta_3}\right) & - \sin\...
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### Inverse kinematics solution for 6DOF serial arm

My 6 joint robot arm structure doesn't meet the requirements for a closed form solution (no 3 consecutive axes intersecting at a point or 3 parallel axes...). What would be best method to adopt to ...
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### Home position of robot created using modified DH Parameters doesn't match the real robot

I have created a 6-DOF robot using RigidBodyTree() method and modified D-H parameters using robotics toolbox in MATLAB. The modified DH parameters for the robot are as follows: I have followed the ...
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### Reachable Position with endeffector robotic arm

I have a 7 DOF robotic Arm. All the 7 Joints are rotational and have upper and lower joint angle limits. Now assume my end effector has a certain Pose $x = [X, Y, Z, a, b, c]$. My Question now is ...
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### Inverse Kinematics - How to only find a unique joint angle solution in 4 dof robot?

I have to develop an algorithm to determine the necessary joint angles to achieve a desired TCP position and orientation in a 4 joint manipulator. I have come across a concept called "degeneracies", ...
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### Algorithm for Determining Mobile Base Positioning Given End Effector Pose

I have a 6 DOF arm robot with a mobile base, and a given x/y/z/quaternion vector that the end effector must match. I am to determine the most optimal position of the mobile base such that an IK ...
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### For the second Paden-Kahan Sub-problem, how is 'r' determined?

When using Paden-Kahan Sub-problems to solve the inverse kinematics of manipulators, 'r' is described as the intersection point between the first and second twist axes. But how is this r actually ...
1answer
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### Inverse Kinematics Computation — why are alpha angle values not included

Given a desired transform matrix of the end effector relevant to the base frame of the P560: John J. Craig, in his book, Introduction to Robotics Mechanics and Control, computes the inverse kinematic ...
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### q-state vector used to define the transformation matrix? how?

How can it be used to determine the transformation matrix? an example could be at computing the inverse kinematics for small displacements: J(q)$\Delta$q = $\Delta$u $\Delta$U is a vector defining ...
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### inverse kinematics osciliations..

I am the moment having some issues with an Jacobian going towards a singularity (i think)as some of its values becomes close to zero, and my robot oscillates, and therefore thought that some form of ...
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### Create path with minimum curvature for Ackerman drive

I'm trying to create a trajectory between two given poses for an Ackerman drive. The poses are defined as follows: Current Pose position $(x_0, y_0)$ rotation on z-axis $\theta_0$ Final Pose ...
2answers
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### Robot Calibration using DH parameters

I'm new in robotics. My problem is the next one: I have a 6DOF robot manipulator and because the implementation was for real-time application my calculation time had to be really fast so that I used ...
0answers
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### How do CAD programs solve for Inverse/Forward Kinematics problem in Assembly?

I am trying to solve for the Forward kinematics of a spatial parallel manipulator. Its loop closure (LC) equations are pretty long, and are being solved using numerical methods. As I am adding more ...
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### Geometrical solution to an IK problem for a humanoid robot leg

On the attached figure, I show a graphical representation of the problem I am facing. I have developed a humanoid robot with a thigh which makes an angle with respect to the leg. It means that there ...
2answers
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### Implementing an analytic version of an inverse kinematic

People have recommended me implement an analytic version of inverse Jacobian solver, such that I won't be forced only the least square solution, but would have an local area of solution near to the ...
2answers
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### Dealing with fixed transformations while solving inverse kinematics

I am trying to solve inverse kinematics (using the Jacobian pseudoinverse method) for a 7 DoF arm, but because of the way the robot is mounted, the base frame does not coincide with the frame of the ...
2answers
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### Inverse kinematics: how to specify TCP constraints in an iterative algorithm?

I am trying to write some simple code to perform IK for a 6 DoF redundant robot using the Jacobian pseudo-inverse method. I can solve IK for a desired pose using the iterative method, and I want to ...
2answers
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### Rotation matrix sign convention confusion.

In rotation matrix, Why do we rotate the first and third rotation in the opposite direction of the 2nd rotation, this is confusing. Image is attached with this. In this image we can note that for x ...
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### How to check reachability of manipulator to a point?

I have written a MATLAB code for inverse kinematics of 3R robotic arm, which returns value of joint angles for given link lengths and end effector position and orientation. But if location of point is ...
2answers
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### Calculating the singular configuration of a 3 revolute joint manipulator

I would really appreciate it if somebody could help me calculate the singular configuration of this simple manipulator I am confused since J is a 2x3 matrix and I cannot simply calculate the ...
1answer
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### Matlab Inverse Kinematics 6 DOF

I'm trying to write an inverse kinematics Matlab code for a 6 DOF robotic arm that has the following link parameters: Twist angle (alpha): [-90, 0, 90, -90, 90, 0] ...
1answer
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### 7DOF inverse kinematics spherical wrist

Is it possible to apply kinematic decoupling for a 7 DOF 7R manipulator with spherical wrist? If it is possible, can anyone suggest a reference on how to apply this approach with a redundant ...
4answers
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### Processor and command interface preference for a robot arm

I want to build a robot arm that'll be approximately 1.25 meter long and will be able to lift up to 2 kilograms. It'll have 6 dof and it is an expensive project. And most importantly, i am the only ...
1answer
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### What is difference between 2 wheels and 4 wheels and tracked differential mobile base kinematics?

In generally I know that no difference between 2WD and 4WD mobile base control kinematics equations. but is there really difference between two wheels differential mobile base and tracked/...
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### Inverse kinematic orientation problem

I am trying IK for 5-DOF robot all revolute joint. I am working IK with Jacobian inverse i.e end effector velocity = J inverse * error vector. In error vector I am feeding (x,y,z) positional error; ...
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### Inverse kinematics Calculation for 3dof robotic arm

I am doing a project, to draw images provided using robotic arm. Initially edge detection is done on image to be drawn and coordinate value is obtained as (x,y). How to calculate 3 joint angles ...
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### Problem with inverse kinematics in robotic arm using Matlab

I define my robotic arm with following code ...
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### showing error while using inverse kinematics “ikine” for 4 dof robotic arm

I want to do forward dynamics but before that I got struck in inverse kinematics for 4 dof. My code is given below: ...
1answer
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### List of books similar to Thrun's Probabilistic Robotics for robot mechanics and manipulation [closed]

What? Put together here a list of books (like the one for C/C++ on StackOverflow) that are spiritually similar to Sebastian Thrun's Probabilistic Robotics for robotic manipulation and mechanics. Why?...
2answers
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### Visual servoing - tracking a point

I am trying resolve some issues i am having with some inverse kinematics. the robot arm i am using has a camera at the end of it, at which an object is being tracked. I can from the the camera frame ...
4answers
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### Assuming I have the angle with respect to two beacons, and know the distance between them, can I localize myself?

Let's assume I have the following situation, and need to find (x,y). Is it possible? There does not appear to be more than one solution to the system, but my trigonometry is a bit rusty. I feel ...
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### Jacobian transpose: how to calculate orientation error

I'm confused about how to compute the error in orientation. All the documents I've read don't explain how to do it. The error in position is simply the difference between the points. Let's assume ...
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### Inverse Kinematics in Java

I'm planning to write an Inverse Kinematics controlled 6 dof virtual robot for Android. I did some research on packages avaliable and couldn't choose the right one which will satisfy my needs on this ...
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### Kinematics with Product-of-Exponentials terminology: not forward, not inverse

I'm working on a kinematic estimation algorithm, and am trying to come up with the right terminology. I'm using the Product-of-Exponentials formulation for kinematic chains (and ignoring position ...
1answer
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### Inverse kinematics for differential robot knowing linear and angular velocities

I have a differential robot and I am using ROS to run it. When I need to move the robot, I can send commands to it, specifically linear X and angular Z velocities. Linear X is in m/s whereas angular Z ...
2answers
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### Inverse kinematics with end effector orientation?

I'm trying to implement an inverse kinematics solver, but this time even with the end effector's orientation. I succeeded with the case when the end effector only requires the position. I learned ...
1answer
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### Solving Inverse Kinematics for ABB IRB 120

I am working on an ABB IRB120 simulation using MATLAB Simulink. I use the decoupling method to solve the inverse kinematic of the robot. However, I have some questions related to the computation of ...
2answers
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### Position Sensor

During my design of a simple robotic arm, where I 3D printed most of the parts, then used these HS-422 servos, it turned out that for a better control precision and to be able to apply Inverse ...
1answer
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### Significance of link length ratio in serial manipulator

I am formulating a problem to optimize link lengths of 3R serial manipulator shown below : I do not assume any explicit relationship between the link lengths, but in one of the papers (http://www....