Title
Frequency-Aware Model Predictive Control
Abstract
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.
Year
DOI
Venue
2018
10.1109/LRA.2019.2895882
IEEE ROBOTICS AND AUTOMATION LETTERS
Keywords
Field
DocType
Legged Robots, Optimization and Optimal Control
Time domain,Optimal control,Trajectory optimization,Nondeterministic algorithm,Control theory,Model predictive control,Control engineering,Bandwidth (signal processing),Engineering,Robot,Actuator
Journal
Volume
Issue
ISSN
4
2
2377-3766
Citations 
PageRank 
References 
1
0.35
1
Authors
5
Name
Order
Citations
PageRank
Ruben Grandia1124.46
Farbod Farshidian2336.10
Alexey Dosovitskiy3179780.48
Rene Ranftl464629.52
Marco Hutter546058.00