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preprint

Imprecise dynamic walking with time-projection control

Faraji, Salman  
•
Müllhaupt, Philippe  
•
Ijspeert, Auke  
November 12, 2018

We present a new walking foot-placement controller based on 3LP, a 3D model of bipedal walking that is composed of three pendulums to simulate falling, swing and torso dynamics. Taking advantage of linear equations and closed-form solutions of the 3LP model, our proposed controller projects intermediate states of the biped back to the beginning of the phase for which a discrete LQR controller is designed. After the projection, a proper control policy is generated by this LQR controller and used at the intermediate time. This control paradigm reacts to disturbances immediately and includes rules to account for swing dynamics and leg-retraction. We apply it to a simulated Atlas robot in position-control, always commanded to perform in-place walking. The stance hip joint in our robot keeps the torso upright to let the robot naturally fall, and the swing hip joint tracks the desired footstep location. Combined with simple Center of Pressure (CoP) damping rules in the low-level controller, our foot-placement enables the robot to recover from strong pushes and produce periodic walking gaits when subject to persistent sources of disturbance, externally or internally. These gaits are imprecise, i.e., emergent from asymmetry sources rather than precisely imposing a desired velocity to the robot. Also in extreme conditions, restricting linearity assumptions of the 3LP model are often violated, but the system remains robust in our simulations. An extensive analysis of closed-loop eigenvalues, viable regions and sensitivity to push timings further demonstrate the strengths of our simple controller.

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Type
preprint
ArXiv ID

1811.03984

Author(s)
Faraji, Salman  
Müllhaupt, Philippe  
Ijspeert, Auke  
Date Issued

2018-11-12

Subjects

Motion Control

•

Legged Robots

•

Predictive Control

•

Bipedal Walking

•

Disturbance Rejection

Note

A selection of videos available here: https://youtu.be/QZQlb_qq0iA The GUI available to download here: https://biorob.epfl.ch/research/humanoid/walkman

URL

video

https://youtu.be/QZQlb_qq0iA
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
BIOROB  
Available on Infoscience
November 12, 2018
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/151334
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