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Team Members

  • Jaehyun Bae

Motivation

DARPA Warrior Web Program

This project is motivated by DARPA Warrior Web Program.

  • There has been a lot of research into exoskeletons over the years to alleviate heavy loads that soldiers should burden, but strapping a person into a robotic outfit just isn't practical in a combat zone yet.
  • DARPA's Warrior Web program aims to build a lightweight suit that improves a soldier's endurance and overall effectiveness, while preventing injuries.
  • The main goals by developing the warrior web are
    1. To prevent and reduce musculoskeletal injuries. 
    2. To augment positive work done by the muscles and reduce the physical burden

Harvard Exosuit

 In order to develop an under-suit that doesn’t interrupt wearer’s free movement, researchers are trying to make it soft and deformable, but still capable of applying force to body joints. Among several different projects in the Warrior Web program, I focused on Harvard exosuit.

 

 

 

 

 

 

 

 

 

 

  • Harvard Biodesign group, one of a project groups in this program, is trying to make their warrior web suit soft and light, and they call their suit harvard exosuit.
  • Experimental data proved that it can help loaded walking by reducing metabolic costs.

Challenges

As it is a new approach to assist human gait with deformable structure, there are many challenges while developing the exosuit. The examples of the challenges are

  • It is difficult to analyze the effectivness of exist.
  • It is difficult to find the optimal input force for actuators to reduce the metabolic cost
  • It is difficult to identify the effect of change of design parameters

The reasons for the challenges are

  • The under-suit may be soft and deformable
  • Hard to identify how external actuation assists loaded gait.
  • Experimental metabolic cost data is inconsistent case by case

Project Goals

Through this project, I tried to resolve the challenges in developing exosuit with Opensim simulation. Simulation can help developing soft wearable exosuit as it can gives an intuition on how exosuit help muscles, and what are the key features that one should care about when developing the suit.

I hope this project will construct a systematic way of analyzing and designing soft wearable device. The goal that I set as a starting point are

  • Evaluate the effectiveness of wearing active actuator on metabolic cost reduction during loaded walking.
  • Explain how exosuit can help loaded gait.
  • Verify the impact of changes in design parameters.
  • Find optimal control inputs for exosuit actuators.
  • Evaluate the effectiveness of Biarticular actuator

Strategy

Experimental data

Two different data were collected from a same subject. 

  • One gait cycle of loaded walking (From left toe off to next left toe off)
  • One gait cycle of unloaded walking (From left toe off to next left toe off)

For both data, walking speed is identical, and mass of the load for loaded walking was 38kg.

  • Data type
    1. Marker position data
    2. Ground reaction force data
  • Subject
    1. mass: 61.3kg
    2. Sex: male

Modeling

To simulate an exosuit wearer, it is most important to create a model which can replicate a real subject as possible as we can. In this project, as the experimental data was acquired from a subject walking freely, it is not possible to make a realistic exosuit wearer. However, to make my model dynamically consistent to the experimental data, my model was gone through the basic steps of modeling procedure in Opensim, and then added actuators and metabolic cost probes.

How to model a subject wearing active actuator

The diagram describes what procedure my model had gone through.

  • The first three steps are basic modeling procedure in Opensim to make a model dynamically and kinematically consistent to the experimental data. For more information, refer to
    1. How Scaling Works
    2. How Inverse Kinematics Works
    3. How RRA Works
  • After RRA is done to the model, probes for calculating metabolic cost were added to the model. . For more information about how to add the probes, refer to

Simulation-Based Design to Reduce Metabolic Cost

  • And then, I added active actuators to the model. Here, I used PathActuator class to simulate active actuators of exosuit, as they are cable driven actuator. If you are interested in how PathActuator works, refer to

OpenSIm::PathActuator Class

Sample models

Here are the figures of sample simulation models. I created several different types of models for both loaded gait and unloaded gait.

Loaded gait model

 

 

 

 

 

 

 

 

 

 

Three different types of models were created for loaded gait model

  • A model without actuator
  • A model with path actuators supporting plantar flexion
  • A model with path actuators supporting hip extension

The path actuator supporting plantar flexion is attached to heel and tibia, and the pathactuator supporting hip extension is attached to backpack and femur.

Unloaded gait model

 

Same procedure has been done to unloaded walking data and models. All of these models represent unloaded walking model by empty backpack.

Optimization process

The idea to optimize the control input force for the actuator is to take advantage of the optimization procedure in CMC tool. CMC procedure. CMC procedure contains static optimization process, and it tries to minimize the cost function J which can be represented as

When there is active actuators on OpenSim Model, the activation term in cost function becomes

and,

 

Assign large value of maximum force to each actuator to reduce the size of xactuator, so that the influence of actuator to J is diminished.

Result & Discussion

Metabolic cost change

 

Loaded walkingUnloaded walking

Loaded walking

•Rate of MC reduction
1.Ankle actuator: 10.35%
2.Hip actuator: 6.62%
Unloaded walking
•Rate MC reduction
1.Ankle actuator: 10.62%
2.Hip actuator: 1.04%

I put together the metabolic cost changes in loaded gait case and unloaded walking case

The first thing to notice is that the metabolic cost is much lower during unloaded walking than loaded walking. Loaded walking costs only 75% metabolic energy compared to loaded walking. Also, we can see that ankle actuator works better to reduce metabolic cost than hip actuator, especially in loaded walking case.

In loaded walking case, ankle actuator reduces metabolic cost by 10%, while hip actuator reduces it by about 7%.

On the other hand, in unloaded walking case, ankle actuator reduces metabolic cost by 10%, while hip actuator reduces it by 1%.

 

Therefore,  we can say that ankle actuator helps metabolic cost reduction better than hip actuator if we have an optimal actuator which has no maximum force limitation.

 

 

 

 

 

Optimal actuator input

 Loaded walkingUnloaded walking
Ankle actuator
Hip actuator
Ankle actuator
•Ankle actuator assists uni-articular muscles during loaded walking.
•To make the best control input for ankle actuator, actuation should be started right after the toe-off of a foot on the opposite side, and the peak force occurs 7.12% of gait cycle before toe off, and ends at the toe-off of a foot on the same side.
Hip actuator

In hip actuator case, the optimal input force is very complex, and I could not find any intuition from it. My initial guess on the optimal input force of hip actuator was to follow the hip flexion angle change, but the result doesn’t follow it at all. The complexity may be due to the optimization procedure in CMC, and I will try to figure out the reason in a future. However, the good thing about hip actuator is that it doesn’t require large amount of force to reduce the metabolic cost. The maximum force in this optimal input is about 400N, which is significantly lower than ankle actuator input, and it is achievable.

•Hip actuator can reduce the metabolic cost with lower maximum force than ankle actuator.
•Challenges
–Hard to identify how the actuator assists walking.
–Difficult to implement the optimal control input for hip actuator in real world

 Unloaded walking

This is the optimal input force result in unloaded case. Still, you can see that ankle actuator input profile is clean and goes well with our intuition, but hip actuator input profile isn’t. 

 

Analysis of optimal input force for ankle actuator

This result shows how muscle force changes when a model has ankle actuators. The graphs show plantar flexor muscle forces, and first row is muscle forces of a baseline model, and the second row is the muscle forces of a model with ankle actuator.

 

The red line is The muscle forces of gastrocnemius, and it barely change when ankle actuators are added. However, other muscle forces, which are from uniarticular muscles, are significantly decreased. Therefore, we can say that ankle actuator assists uniarticular muscles during loaded walking

 

If we draw the sum of baseline uniarticular forces and active actuator input force together, we can see that the active actuator force follows baseline uniarticular muscle forces. The redline here is sum of baseline uniarticular forces and blue line is active actuator input force. This force signal is clear and easy to implement real world. However, the maximum actuation force is about 2500 N, which is too high, so we need to deal with it if we want to use this profile.

Best realistic actuation input force for ankle actuator

 

•The optimal force for hip actuator is small enough to be achieved by real actuator
•On the other hand, the maximum force of the optimal force input for ankle actuator is not achievable. (>2000N)
•Project Approach: Try different types of input forces for ankle actuators up to 400N, and compare the results to optimal control input case.

•Run CMC after setting the actuator input forces as a control constraints for each case.

As the optimal input force for ankle actuator is not achievable, I tried to find a realistic ankle actuator force which has its maximum force of 400N. My initial guess was to saturate the optimal input force that I found earlier at 400N. Therefore, I cut the optimal input force at 400N, and create new input force. I added this force profile to CMC tool as a control constraints, and run CMC again.

 

 

I compared the saturated optimal input to a new CMC results which was acquired with 4000N maximum actuation force and bounded control input between 0 and .1. The new CMC results also has maximum force of 400N as the control input is bounded, and it gives better input force in terms of metabolic cost reduction than a result of CMC which was acquired with an actuator with 400N actuation and conventional control input.

–The result from new CMC procedure using 4000N Fmax and control input such that 0 ≤ xactuator ≤ 0.1

 

In these graphs, you can see a similaritly between the saturated optimal input and a results of new CMC procedure.

Loaded walkingUnloaded walking
•Loaded walking
1.optimal: 10.35% reduction
2.Scaled: 1.34% reduction
3.Saturated: 1.84% reduction
•Unloaded walking
1.optimal: 10.62% reduction
2.Scaled: 3.02% reduction
3.Saturated: 3.46% reduction
•Saturated input is better than scaled input for MC reduction.
•Realistic force input can help unloaded walking better than loaded walking.

Discussion

 

•The input force resulted from new CMC works best for metabolic cost reduction
•New CMC result gives a force profile similar to saturated input force.


ModelBiarticular actuator

Now that we know both ankle actuator hip actuator works well to reduce metabolic cost during loaded walking, the natural progress is to create biarticular actuator which can affect both ankle plantar flexion and hip extension. In order to reduce the number of actuator, I created biarticular actuator with 1 DOF, and see how much it reduces metabolic cost, and what it’s optimal input force is.

Simulation result

 

 

 

 

 

 

 

 

 

Loaded walking- rate of metabolic reduction

1.When ankle actuator is appended: 10.35%
2.When hip actuator V4 is appended: 6.62%
3.When biarticular actuator is appended: 3.12%

Control input is noisy, which makes it hard to realize

Biarticular actuator is not as effective as uni-articular actuators in terms of metabolic cost reduction.

 

Conclusion

Featured result

•Both hip actuator and ankle actuator can reduce the metabolic cost during walking
–If we can apply sufficient amount of force, it is better to apply force to ankle joint.
–If not, hip actuator is a good alternative, even though it is hard to control
•The optimal input force for ankle actuator when it’s maximum force is bounded is similar to the general optimal input force saturated at maximum force
•Biarticular actuator doesn’t assist loaded walking very well and the force input is not consistent.
•Both hip actuator and ankle actuator can reduce the metabolic cost during walking
–If we can apply sufficient amount of force, it is better to apply force to ankle joint.
–If not, hip actuator is a good alternative, even though it is hard to control
•Optimal input of ankle actuator is consistent with gait cycle and muscle forces data, while that of hip actuator is not.
•The simulation methodology to use CMC as an optimization tool works, but more improvement is needed.
•Longer MA magnifies the effectiveness of Exosuit
•The optimal input force for ankle actuator when it’s maximum force is bounded is similar to the general optimal input force saturated at maximum force
•Exosuit offers greater assist for loaded walking than unloaded walking
•Biarticular actuator doesn’t assist loaded walking very well and the force input is not consistent.

Limitations

•The experimental data was obtained from a subject without exosuit. Exosuit may change the kinematics of a subject as well as GRF.
•CMC process doesn’t minimize metabolic cost. Instead, it minimizes 2-norm of activation.
•The experimental data is only one gait cycle
•More realistic actuator simulation is needed. (E.g. Combination of passive & active actuator)

Source code

You can find the model that I used in htt~~~~

References

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