Technical note
Feedback control of human metabolic work rate during robotics-assisted treadmill exercise

https://doi.org/10.1016/j.bspc.2011.11.001Get rights and content

Abstract

A novel approach is presented which suggests the use of human metabolic work rate to define and regulate exercise intensity during robotics-assisted treadmill training. The work describes the design and technical validation of the new method.

A feedback structure is proposed which provides automatic regulation of metabolic work rate, in conjunction with an embedded feedback loop for volitional control of mechanical work rate. Human metabolic work rate was derived in real time from breath-by-breath measurements of oxygen uptake and carbon dioxide output.

The results show that the feedback method provides close to nominal performance for square-wave and ramp reference tracking tasks and that good disturbance rejection properties are obtained. A collateral finding of this work is an estimate of 14.5% of the metabolic efficiency of robotics-assisted treadmill exercise.

The use of feedback control of human metabolic work rate provides a direct measure of exercise intensity as perceived by the exercising human as it directly reflects the energy requirements of the working muscles. This complements previous approaches to guiding robotics-assisted treadmill training based on mechanical work rate, heart rate or oxygen uptake. The new approach based on metabolic work rate may have advantages in populations with compromised and widely varying exercise responses. This provides a new approach for driving and controlling active patient participation during robotics-assisted treadmill exercise.

Highlights

► A novel method for feedback control of human metabolic work rate during robotics-assisted treadmill exercise is presented. ► The approach is technically validated using experimental data. ► For the first time, an estimate of the metabolic efficiency of robotics-assisted treadmill exercise is obtained. ► We combine techniques from exercise physiology, feedback control systems, and rehabilitation engineering. ► There is high potential for clinical application for guiding active patient participation during this form of exercise.

Introduction

There is growing interest in the potential of rehabilitation-robotics devices for cardiopulmonary rehabilitation of patients with a range of neurological deficits [1], [2], [3]. This would provide a complement to the application of these devices for neurological rehabilitation. Hitherto, the clinical application and research focus of these devices has been the desire to promote positive neurological adaptations, plasticity and the recovery of walking function [4], [5]. The complementary application for cardiopulmonary rehabilitation raises the question of how to define and regulate exercise intensity while patients train with such devices.

Within the field of exercise science and physiology, exercise intensity can in general be characterised in a number of ways. Measures include external mechanical work rate, heart rate, oxygen uptake rate, or ratings of perceived exertion. These approaches have in part been translated to the context of robotics-assisted treadmill exercise using the Lokomat driven-gait orthosis. External mechanical work rate has been estimated using real time measurements of human–machine interaction forces and orthosis position, and this was in turn used to drive the exercise intensity [6], [7], [8]. In this setup the patient was required to maintain a target work rate using a visual feedback of measured work rate. Direct control of mechanical work rate was used during a clinical investigation of the potential of work-rate-guided Lokomat training for cardiopulmonary rehabilitation [3], [9]. In closely related work, a weighted sum of joint torques was chosen as the controlled variable and as the measure of intensity while patient interaction occurred using a visual task [10]. That work also explored feedback control of heart rate on the Lokomat using either a visual task for the patient or automated changes in treadmill/Lokomat speed. Direct feedback control of oxygen uptake rate was implemented using breath-by-breath monitoring together with a human-in-the-loop control of mechanical work rate [11], [12].

In the present work, a novel approach is presented which suggests the use of human metabolic work rate to define and regulate exercise intensity during robotics-assisted treadmill training. A feedback structure is proposed which provides automatic regulation of this variable, in conjunction with an embedded feedback loop for volitional control of mechanical work rate. Human metabolic work rate is derived in real time from breath-by-breath measurements of oxygen uptake and carbon dioxide output. This new variable provides a direct measure of exercise intensity as perceived by the exercising human as it directly reflects the energy requirements of the working muscles. This measure may have clear advantages in populations displaying low physical fitness, low metabolic efficiency or neurological deficits: in such populations a given metabolic work rate will be associated with a wide range of external work rate or heart rate values. These values may therefore poorly reflect exercise intensity.

This new method will be targeted primarily at people who are indicated for Lokomat therapy as a consequence of stroke or spinal cord injury. This new approach specifically targets cardiopulmonary rehabilitation and would complement conventional therapy or alternative exercise modalities, with impact on important markers of cardiopulmonary status.

The present work aims to design and technically validate a new method for feedback control of human metabolic work rate during robotics-assisted treadmill exercise. Availability of metabolic work rate as an indicator of exercise intensity would provide a new approach for driving and controlling active patient participation during this form of exercise.

Section snippets

Methods

This work utilised automated robotic gait orthoses1 [13], [14] integrated with a treadmill2 and a dynamic body-weight unloading system3 [15] (Fig. 1(a)). The orthoses provide active control at the hip and knee joints of both legs using DC motors. The device employs a position control strategy where the hip and knee-joint angles follow pre-defined reference trajectories. As

Results

Using a linear least-squares procedure, open-loop step-test data gave rise to the following plant transfer function:Pmech*Pmet:Po(s)=k1+sτ=6.91+82.3s.Since the data used for identification were deviations around a fixed operating point, the identified steady-state gain k = 6.9 provides a means to estimate the steady-state metabolic efficiency η of the exercise:η=mechanicaloutputpowermetabolicinputpowers.s.×100%=PmechPmets.s.×100%=1k×100%=14.5%.Here “s.s.” denotes steady-state and the

Discussion

The rationale for the work presented here was the desire to determine an appropriate variable to control which represents the intensity of exercise during robotics-assisted treadmill training. Such a variable would provide a means to drive and control active patient participation. A new method was proposed based on control of human metabolic work rate. The aim here was to provide technical validation of the approach.

As a collateral finding, this work provided for the first time an estimate of

Acknowledgements

Lukas Bichsel, Matthias Schindelholz and Oliver Stoller assisted with technical verification tests and data collection. The authors gratefully acknowledge this contribution.

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    A pilot study [11], based on this module, aimed to assess the feasibility of using feedback-controlled RATE to evaluate and improve aerobic capacity early after stroke. Further possibilities based on the present work are feedback control of heart rate, oxygen uptake and metabolic work rate [12–15]. We used a motor-driven gait orthosis1 [16,17] with an integrated treadmill2 and a dynamic body weight support (BWS) system3 [18], (Fig. 2A).

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