Robotic Systems
Attach frames to the various
parts of the mechanism.
,Forward kinematics VS. Inverse kinematics
X end-effector
(Tool)
Z Position and Orientation
Y
(𝒙 , 𝒚 , 𝒛 , 𝑹𝒙 , 𝑹𝒚 , 𝑹𝒛 )
Object (Goal)
IK
Y
FK
Base
X
Z Manipulator’s
[𝜽𝟏 , 𝜽𝟐 , ⋯ , 𝜽𝒏 , 𝒅𝟏 , 𝒅𝟐 , ⋯ , 𝒅𝒎 ]
Parameters
Robotic 20-21 / Dr. Aghiad Kh. (email: )
,Transform Equations
U A
All transforms are known except: A T
U
T T TU A
T DAT UBT CBT CDT
D A D U
A
U
U
DT UBT CBT CDT C
B
U
A T T T T T
U
B
B
C
C
D
D
A
U
A T UBT CBT CDT DAT 1
Graphical Representation (Frame Dia
Robotic 20-21 / Dr. Aghiad Kh. (email: )
, Manipulator Links
Link is considered only as a rigid body that defines:
The relationship between two neighboring joint axes of a
manipulator. Joint 3
Link 3
The links are numbered: Joint 2
Link 2
Starting from the immobile base of the arm, called: link 0. Link 1
The first moving body is: link 1, Joint 1
Link 0
The Second moving body is: link 2,
The base n degrees
…….. …….. …….. and So On, n Joints
Out to the free end of the arm, which is: link n.
Robotic 20-21 / Dr. Aghiad Kh. (email: )