# Questions tagged [jacobian]

The Jacobian is the matrix of partial derivatives of a function. For robot arms, the Jacobian relates joint velocities to end-effector velocity. Jacobian Inverse Kinematic method is one method to solve inverse kinematic problems.

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### Jacobian determinant of three degree of freedom robot

I want to determine Jacobian determinant of spherical wrist structure, but my Jacobian is 6x3, so it is not square. How can I get it?
2answers
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### Understanding the Robot Jacobian

Although I have an understanding of what Jacobians are in general and how to calculate Jacobians, I fail to understand how the idea of Jacobian came for use in kinematics and why they are used for ...
1answer
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### D(q) Inertia Matrix and the Jacobian Matrix

There is something I need to verify. Say we have the following RPR robot manipulator. The DH table yields 3 rotational matrices: \begin{equation} R^0_1, R^0_2, R^0_3 \end{equation} Using these ...
2answers
584 views

### Using jacobian of arm robot to calculate transformation matrices?

I have been given a Jacobian for a 3 revolute joint robot. I need to obtain the origins of each of the joint. Origins of the joints can be obtained once I get $T^0_1$, $T^0_2$, $T^0_3$ and $T^0_4$. ...
1answer
279 views

### How to compute the observation matrix for a Kalman Filter?

If my state vector is just a representation of the error state of a quaternion represented as $[\delta \bf{q} ]$ which is a 3x1 vector and my external update is from an accelerometer, how would I ...
1answer
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### Understanding inverse kinematics with the Jacobian

I'm learning about inverse kinematics with Jacobians, and getting a little confused. So, let's say I have a robot arm with two joints with angles Y = (a, b) whose ...
2answers
2k views

### 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
270 views

### Jacobian Matrix and joint dependecies

I'm working with a robotic arm and needed to compute the jacobian matrix of it in order to send torque commands. THe arm has 6 joints all revolute. After calculating the jacobian matrix from the DH ...
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### How to get Max Torque on Robot arm 's Joints (RRR)

Suppose I have a Robot Arm with 3 joint(revolute)( 3 DOF) as shown below , and I'm given -The ranges of each joint q1,q2,q3 -The lengths of each link L1,L2,L3 -Load on the end effector [Fx Fy M] ...
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192 views

### Integrating Forward Kinematics Map

Let the forward kinematics map be denoted by $\mathcal{F}$ such that $\mathcal{F}: \theta \in \mathbb{R}^{n} \rightarrow g \in SE3$ Let the minimal representation of $g$ be given by \$x \in \mathbb{R}...
1answer
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### Velocity Relation for Parallel Robots

In my course of "Advanced Robotics" with "Fundamental of Robotic Mechanical Systems" as the reference book I saw the following equation as the velocity relation for parallel manipulators such as the ...
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### EKF state propagation model using variables that are not part of state vector

I am trying to understand the EKF theory. Can the state transition function depend on variables that are not part of the state space? For example, the state propagation below depends on the ...
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