Abstract

In this study, we investigated a control algorithm for a semi-active prosthetic knee based on reinforcement learning (RL). Model-free reinforcement Q-learning control with a reward shaping function was proposed as the voltage controller of a magnetorheological damper based on the prosthetic knee. The reward function was designed as a function of the performance index that accounts for the trajectory of the subject-specific knee angle. We compared our proposed reward function to a conventional single reward function under the same random initialization of a Q-matrix. We trained this control algorithm to adapt to several walking speed datasets under one control policy and subsequently compared its performance with that of other control algorithms. The results showed that our proposed reward function performed better than the conventional single reward function in terms of the normalized root mean squared error and also showed a faster convergence trend. Furthermore, our control strategy converged within our desired performance index and could adapt to several walking speeds. Our proposed control structure has also an overall better performance compared to user-adaptive control, while some of its walking speeds performed better than the neural network predictive control from existing studies.

Highlights

  • The knee joint enables one to perform basic movements, such as walking

  • We investigated our proposed control algorithm for the swing phase controller in the MR-damper-based prosthetic knee

  • The proposed controller was designed with the structure of a tabular reinforcement Q-learning algorithm, a subset in machine learning algorithms

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Summary

Introduction

The knee joint enables one to perform basic movements, such as walking. The loss of this function such as in the case of transfemoral amputation could severely restrict movements. The lower limb prosthetic system, which comprises either the prosthetic knee, leg, or foot, could replace the function of the biological knee. The prosthetic knee is divided into two categories, that is, a mechanical-based control and microprocessor controlled. Using the microprocessor-controlled prosthetic knee can improve the lower extremity joint kinetics symmetry, gait, and balance, as well as reduce the frequency of stumbling and falling, compared to using the mechanical or passive knee (Hafner et al, 2007; Kaufman et al, 2007, 2012; Sawers and Hafner, 2013).

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