Compute Geometric Jacobian for Manipulators in Simulink
This example shows how to calculate the geometric Jacobian for a robot manipulator by using a rigidBodyTree model. The Jacobian maps the joint-space velocity to the end-effector velocity relative to the base coordinate frame. In this example, you define a robot model and robot configurations in MATLAB® and pass them to Simulink® to be used with the manipulator algorithm blocks.
Load a RigidBodyTree object that models a KUKA LBR robot. Use the homeConfiguration function to get the home configuration or home joint positions of the robot. Use the randomConfiguration function to generate a random configuration within the specified joint limits.
load('exampleRobots.mat','lbr') lbr.DataFormat = 'column'; homeConfig = homeConfiguration(lbr); randomConfig = randomConfiguration(lbr);
Open the model. If necessary, use the Load Robot Model callback button to reload the robot model and the configuration vectors. The 'tool0' body is selected as the end-effector in both blocks.
open_system('get_jacobian_example.slx')
Run the model to display the Jacobian for each configuration.