Inverse Kinematics

Inverse Kinematics of the following leg configurations are covered:

Open chain Inverse kinematics (2 degrees of Freedom)

Mathematical formulation of the Inverse kinematics is described as followed: 

Converting q_hip and q_knee equation into joint angle

Figure 1 : Inverse kinematics of the quadruped robot Stoch

Panto graph style leg 

Figure 2a : Inverse kinematics of the quadruped robot

It can be seen from the figure bellow, the panto -graph design can be rearranged to create an open chin design.

Figure 2b: Inverse Kinematics solution of the panto-graph style leg. 

Inverse kinematics Parallel Manipulator

Figure 3 : Inverse kinematics of a planer 5 bar mechanism in INU robot. (Picture of the robot is taken from Kod-Lab website)

A more generic leg design of Figure: 1 is provided and is shown in Figure : 3

We break the mechanism down into two planer open chain linkage systems. Once broken the formulation is same as described above.

Inverse kinematics of Stoch-2 robot. The leg configuration is similar to INU.