Lightweight Tracking Control for Computationally Constrained Aerial Systems with the Newton-Raphson Method

--We investigate the performance of a lightweight tracking controller, based on a flow version of the Newton-Raphson method, applied to a miniature blimp and a mid-size quadrotor . This tracking technique has been shown to enjoy theoretical guarantees of performance and has been applied with success in simulation studies and on mobile robots with simple motion models. This paper investigates the technique through real-world flight experiments on aerial hardware platforms subject to realistic deployment and onboard computational constraints. The technique's performance is assessed in comparison with the established control frameworks of feedback linearization for the blimp, and nonlinear model predictive control for both quadrotor and blimp. The performance metrics under consideration are (i) root mean square error of flight trajectories with respect to target trajectories, (ii) algorithms' computation times, and (iii) CPU energy consumption associated with the control algorithms. The experimental findings show that the Newton-Raphson flow-based tracking controller achieves comparable or superior tracking performance to the baseline methods with substantially reduced computation time and energy expenditure. HE past two decades have seen a significant shift in the nature of hardware research for trajectory control of aerial platforms like quadrotors. First, testing and verification of novel techniques relied heavily on numerical simulators, later transitioning to real-world deployments that depended on ground station computers and simplified models (e.g. Today, powerful single-board computers (SBCs) have enabled research to shift toward onboard execution even for computationally intensive control methods [2]-[4].