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research article

Frequency-Aware Model Predictive Control

Grandia, Ruben
•
Farshidian, Farbod
•
Dosovitskiy, Alexey
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January 29, 2019
IEEE Robotics and Automation Letters

Transferring solutions found by trajectory optimization to robotic hardware remains a challenging task. When the optimization fully exploits the provided model to perform dynamic tasks, the presence of unmodeled dynamics renders the motion infeasible on the real system. Model errors cannot be only a result of model simplifications, but also naturally arise when deploying the robot in unstructured and nondeterministic environments. Predominantly, compliant contacts and actuator dynamics lead to bandwidth limitations. While classical control methods provide tools to synthesize controllers that are robust to a class of model errors, such a notion is missing in modern trajectory optimization, which is solved in the time domain. We propose frequency-shaped cost functions to achieve robust solutions in the context of optimal control for legged robots. Through simulation and hardware experiments we show that motion plans can be made compatible with bandwidth limits set by actuators and contact dynamics. The smoothness of the model predictive solutions can be continuously tuned without compromising the feasibility of the problem. Experiments with the quadrupedal robot ANYmal, which is driven by highly compliant series elastic actuators, showed significantly improved tracking performance of the planned motion, torque, and force trajectories and enabled the machine to walk robustly on terrain with unmodeled compliance.

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Type
research article
DOI
10.1109/LRA.2019.2895882
Author(s)
Grandia, Ruben
Farshidian, Farbod
Dosovitskiy, Alexey
Ranftl, Rene
Hutter, Marco
Date Issued

2019-01-29

Published in
IEEE Robotics and Automation Letters
Volume

4

Issue

2

Start page

1517

End page

1524

Subjects

Cost function

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Actuators

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Dynamics

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Bandwidth

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Legged locomotion

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
NCCR-ROBOTICS  
Available on Infoscience
October 29, 2019
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/162447
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