SO(2)-Equivariant Downwash Models for Close Proximity Flight
arXiv:2305.18983 · doi:10.1109/LRA.2023.3337701
Abstract
Multirotors flying in close proximity induce aerodynamic wake effects on each other through propeller downwash. Conventional methods have fallen short of providing adequate 3D force-based models that can be incorporated into robust control paradigms for deploying dense formations. Thus, learning a model for these downwash patterns presents an attractive solution. In this paper, we present a novel learning-based approach for modelling the downwash forces that exploits the latent geometries (i.e. symmetries) present in the problem. We demonstrate that when trained with only 5 minutes of real-world flight data, our geometry-aware model outperforms state-of-the-art baseline models trained with more than 15 minutes of data. In dense real-world flights with two vehicles, deploying our model online improves 3D trajectory tracking by nearly 36% on average (and vertical tracking by 56%).
References in corpus (6)
- Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges
- Neural Lander: Stable Drone Landing Control using Learned Dynamics
- Theoretical Aspects of Group Equivariant Neural Networks
- On-Robot Learning With Equivariant Models
- The Surprising Effectiveness of Equivariant Models in Domains with Latent Symmetry
- Nonlinear MPC for Quadrotors in Close-Proximity Flight with Neural Network Downwash Prediction