The Robust Gait of a Tilt-rotor and Its Application to Tracking Control -- Application of Two Color Map Theorem

TL;DR

This paper develops a robust gait planning method for a tilt-rotor UAV using the Two Color Map Theorem, demonstrating improved tracking performance and robustness in simulation compared to conventional methods.

Contribution

It introduces a gait planning approach based on the Two Color Map Theorem to enhance robustness and continuity in tilt-rotor control, extending previous research to tracking applications.

Findings

Gaits satisfying the Two Color Map Theorem are robust to attitude changes.

Simulation results show successful tracking of a circular reference trajectory.

The proposed method improves robustness over conventional feedback linearization.

Abstract

Rylls tilt-rotor is a UAV with eight inputs; the four magnitudes of the thrusts as well as four tilting angles of the thrusts can be specified in need, e.g., based on a control rule. Despite of the success in simulation, conventional feedback linearization witnesses the over-intensive change in the inputs while applying to stabilize Rylls tilt-rotor. Our previous research thus put the extra procedure named gait plan forward to suppress the unexpected changes in the tilting angles. Accompanying the Two Color Map Theorem, the tilting-angles are planned robustly and continuously. The designed gaits are robust to the change of the attitude. However, this is not a complete theory before further applying to the tracking simulation test. This paper further discusses some gaits following the Two Color Map Theorem and simulates a tracking problem for a tilt-rotor. A uniform circular moving reference is designed to be tracked by the tilt-rotor equipped with the designed robust gait and the feedback linearization controller. The gaits satisfying Two Color Map Theorem show the robustness. The results from the simulation show the success in tracking of the tilt-rotor.