Improving the Region of Attraction of a Multi-rotor UAV by Estimating Unknown Disturbances

Fuente: arXiv
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Autori principali: Atapattu, Sachithra, De Silva, Oscar, Wanasinghe, Thumeera R, Mann, George K I, Gosine, Raymond G
Natura: Preprint
Pubblicazione: 2024
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author Atapattu, Sachithra
De Silva, Oscar
Wanasinghe, Thumeera R
Mann, George K I
Gosine, Raymond G
author_facet Atapattu, Sachithra
De Silva, Oscar
Wanasinghe, Thumeera R
Mann, George K I
Gosine, Raymond G
contents This study presents a machine learning-aided approach to accurately estimate the region of attraction (ROA) of a multi-rotor unmanned aerial vehicle (UAV) controlled using a linear quadratic regulator (LQR) controller. Conventional ROA estimation approaches rely on a nominal dynamic model for ROA calculation, leading to inaccurate estimation due to unknown dynamics and disturbances associated with the physical system. To address this issue, our study utilizes a neural network to predict these unknown disturbances of a planar quadrotor. The nominal model integrated with the learned disturbances is then employed to calculate the ROA of the planer quadrotor using a graphical technique. The estimated ROA is then compared with the ROA calculated using Lyapunov analysis and the graphical approach without incorporating the learned disturbances. The results illustrated that the proposed method provides a more accurate estimation of the ROA, while the conventional Lyapunov-based estimation tends to be more conservative.
format Preprint
id arxiv_https___arxiv_org_abs_2409_00257
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Improving the Region of Attraction of a Multi-rotor UAV by Estimating Unknown Disturbances
Atapattu, Sachithra
De Silva, Oscar
Wanasinghe, Thumeera R
Mann, George K I
Gosine, Raymond G
Systems and Control
Machine Learning
Robotics
This study presents a machine learning-aided approach to accurately estimate the region of attraction (ROA) of a multi-rotor unmanned aerial vehicle (UAV) controlled using a linear quadratic regulator (LQR) controller. Conventional ROA estimation approaches rely on a nominal dynamic model for ROA calculation, leading to inaccurate estimation due to unknown dynamics and disturbances associated with the physical system. To address this issue, our study utilizes a neural network to predict these unknown disturbances of a planar quadrotor. The nominal model integrated with the learned disturbances is then employed to calculate the ROA of the planer quadrotor using a graphical technique. The estimated ROA is then compared with the ROA calculated using Lyapunov analysis and the graphical approach without incorporating the learned disturbances. The results illustrated that the proposed method provides a more accurate estimation of the ROA, while the conventional Lyapunov-based estimation tends to be more conservative.
title Improving the Region of Attraction of a Multi-rotor UAV by Estimating Unknown Disturbances
topic Systems and Control
Machine Learning
Robotics
url https://arxiv.org/abs/2409.00257