Aggressive Online Control of a Quadrotor via Deep Network Representations of Optimality Principles
This work addresses the problem of real-time optimal control for quadrotors, enabling more efficient and aggressive maneuvers in robotics applications.
The paper tackles the computational challenge of applying optimal control on limited robotic platforms by using a deep neural network trained offline to imitate optimal control, enabling aggressive quadrotor maneuvers. It shows that this approach leads to significantly faster trajectory execution compared to state-of-the-art methods.
Optimal control holds great potential to improve a variety of robotic applications. The application of optimal control on-board limited platforms has been severely hindered by the large computational requirements of current state of the art implementations. In this work, we make use of a deep neural network to directly map the robot states to control actions. The network is trained offline to imitate the optimal control computed by a time consuming direct nonlinear method. A mixture of time optimality and power optimality is considered with a continuation parameter used to select the predominance of each objective. We apply our networks (termed G\&CNets) to aggressive quadrotor control, first in simulation and then in the real world. We give insight into the factors that influence the `reality gap' between the quadrotor model used by the offline optimal control method and the real quadrotor. Furthermore, we explain how we set up the model and the control structure on-board of the real quadrotor to successfully close this gap and perform time-optimal maneuvers in the real world. Finally, G\&CNet's performance is compared to state-of-the-art differential-flatness-based optimal control methods. We show, in the experiments, that G\&CNets lead to significantly faster trajectory execution due to, in part, the less restrictive nature of the allowed state-to-input mappings.