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. 2022 Jan 14;22(2):642. doi: 10.3390/s22020642
Vem End-effector twist vector in the mixed frame
Veb End-effector twist vector in the base frame
q Robotic arm joint angles
q˙ Robot’s Joint velocity vector
ω Angular velocity
r,p,y Roll, pitch, yaw angles of the end-effector frame
χconv Pose in a conventional task space
χmix Pose in the mixed frame configuration
χ˙  Task space velocity of the end effector
ϕe˙(Γ) Rotational velocity of the end effector as the rate of change in Euler angles
veb End-effector translation velocity in the base frame
Vee End-effector velocity vector in the end-effector frame
Vcc Camera twist vector in the camera frame
px,y,zb Position of the end-effector w.r.t the base frame
Jmix,Jm Mixed frame Jacobian matrix
J(Γ)  Analytical Jacobian transformation matrix
Jb Jacobian matrix in the base frame
λ  Constant proportional gain
λadp  Adaptive gain
kd  Derivative gain
e˙  Rate of change in feature error
X Motion transformation matrix
B Analytical transformation matrix
Rce Rotation matrix from the camera to the end-effector frame
Reb Rotation matrix from the end effector to the base frame
Rbe Rotation matrix from the base to the end-effector frame