Table 4 RMS error for simulation tests.

From: Design and development of a modular wrist rehabilitation robot with impedance control and gravity compensation

 

Test

Position error for PS joint (deg)

Position error for AA joint (deg)

Position error for FE joint (deg)

Impedance control without weight compensator

\(\:{{K}}_{{d}}=6\)

\(\:{{C}}_{{d}}=2\)

\(\:PS\:=\:80\text{sin}\left(\frac{\pi\:}{2}t\right)\)

\(\:FE=AA=0\)

\(\:5\)

\(\:1.55\)

\(\:0.147\)

\(\:AA\:=20\text{sin}\left(\frac{\pi\:}{2}\:t\right)\)

\(\:PS=FE=0\)

\(\:6.7\)

\(\:1.75\)

\(\:1.72\)

\(\:FE\:=50\text{sin}\left(\frac{\pi\:}{2}t\right)\)

\(\:PS=AA=0\)

\(\:6.39\)

\(\:2.21\)

\(\:0.183\)

Impedance control with weight compensator

\(\:{\varvec{K}}_{{d}}=2\)

\(\:{{C}}_{{d}}=0.5\)

\(\:PS\:=\:80\text{sin}\left(\frac{\pi\:}{2}t\right)\)

\(\:FE=AA=0\)

\(\:0.79\)

\(\:0.19\)

\(\:0.038\)

\(\:AA\:=20\text{sin}\left(\frac{\pi\:}{2}t\right)\)

\(\:PS=FE=0\)

\(\:0.03\)

\(\:0.43\)

\(\:0.01\)

\(\:FE\:=50\text{sin}\left(\frac{\pi\:}{2}t\right)\)

\(\:PS=AA=0\)

\(\:0.08\)

\(\:0.1\)

\(\:0.08\)