Error identification and compensation regarding the kinematic parameter of the MD-PEF for tibial deformity correction

Abstract

The correction accuracy of an external fixator is crucial to the treatment outcome of deformity correction and patient safety. In this study, the mapping model is established between the pose error and kinematic parameter error of the motor-driven parallel external fixator (MD-PEF). Subsequently, the kinematic parameter identification and error compensation algorithm of the external fixator is established based on the least squares method. An experimental platform based on the developed MD-PEF and Vicon motion capture system is constructed for kinematic calibration experiments. Experimental results show that the correction accuracy of the MD-PEF after calibration is as follows: translation accuracy dE₁ = 0.36 mm, axial translation accuracy dE₂ = 0.25 mm, angulation accuracy dE₃ = 0.27°, and rotation accuracy dE₄ = 0.2°. The accuracy detection experiment verifies the kinematic calibration results, which further validates the feasibility and reliability of the error identification and compensation algorithm constructed by the least squares method. The calibration approach used in this work also provides an effective way to improve the accuracy of other medical robots.

Keywords: Deformity correction; Error model; External fixator; Kinematic calibration; Least squares method.