Design Optimal Backstepping Controller for Quadrotor Based on Lyapunov Theory for Disturbances Environments

Fuente: arXiv
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Autores principales: Tran, Dong LT, Vo, Thanh C, Tran, Hoang T, Nguyen, Minh T, Do, Hai T.
Formato: Preprint
Publicado: 2025
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author Tran, Dong LT
Vo, Thanh C
Tran, Hoang T
Nguyen, Minh T
Do, Hai T.
author_facet Tran, Dong LT
Vo, Thanh C
Tran, Hoang T
Nguyen, Minh T
Do, Hai T.
contents Various control methods have been studied to control the position and attitude of quadrotors. There are some differences in the mathematical equations between the two types of quadrotor configurations that lead to different control efficiency in disturbance environments. This paper described the nonlinear back stepping approach based on the Lyapunov function theory and LaSalle Principle for the quadrotor control system, which can provide the stability of all system states during the tracking of the desired trajectory. Accordingly, a mathematical model of the cross quadrotor configuration together with the controller has been built to stabilize the altitude and position of the quadrotor. To clarify the effectiveness of this method with the selected quadrotor configuration, we compare it with a traditional PID controller in an environment affected by disturbances. The simulation results in MATLAB show satisfactory stability of the quadrotor flight and following certain trajectories, confirming the accuracy and validity of the control method.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06824
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Design Optimal Backstepping Controller for Quadrotor Based on Lyapunov Theory for Disturbances Environments
Tran, Dong LT
Vo, Thanh C
Tran, Hoang T
Nguyen, Minh T
Do, Hai T.
Systems and Control
Various control methods have been studied to control the position and attitude of quadrotors. There are some differences in the mathematical equations between the two types of quadrotor configurations that lead to different control efficiency in disturbance environments. This paper described the nonlinear back stepping approach based on the Lyapunov function theory and LaSalle Principle for the quadrotor control system, which can provide the stability of all system states during the tracking of the desired trajectory. Accordingly, a mathematical model of the cross quadrotor configuration together with the controller has been built to stabilize the altitude and position of the quadrotor. To clarify the effectiveness of this method with the selected quadrotor configuration, we compare it with a traditional PID controller in an environment affected by disturbances. The simulation results in MATLAB show satisfactory stability of the quadrotor flight and following certain trajectories, confirming the accuracy and validity of the control method.
title Design Optimal Backstepping Controller for Quadrotor Based on Lyapunov Theory for Disturbances Environments
topic Systems and Control
url https://arxiv.org/abs/2503.06824