Jacobian

The Jacobian is a robotics term that plays an important role in motion control and the kinematic analysis of robots.

It is a mathematical matrix that describes the relationship between the joint velocities of a robot and the end effector speed. The Jacobian makes it possible to calculate the movement speed and direction of the end effector based on the robot's joint velocities. By analyzing the Jacobian, engineers can better understand and optimize the motion control, trajectory planning, and inverse kinematics of robots. The Jacobian is an important tool in developing and programming robots for various applications in industry, research and other areas of robotics.