Backstepping Based Formation Control of Quadrotors with the State Transformation Technique

In this paper, a backstepping-based formation control of quadrotors with the state transformation technique is proposed. First, the dynamics of a quadrotor is derived by using the Newton–Euler formulation. Next, a backstepping-based formation control for quadrotors using a state transformation techn...

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Main Authors: Keun Uk Lee, Yoon Ho Choi, Jin Bae Park
Format: Article
Language:English
Published: MDPI AG 2017-11-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/7/11/1170
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spelling doaj-015f1c1fdc174155ad4d0cf814a0e80c2020-11-25T02:43:10ZengMDPI AGApplied Sciences2076-34172017-11-01711117010.3390/app7111170app7111170Backstepping Based Formation Control of Quadrotors with the State Transformation TechniqueKeun Uk Lee0Yoon Ho Choi1Jin Bae Park2School of Electrical and Electronic Engineering, Yonsei University, Seodaemun-Gu, Seoul 03722, KoreaDepartment of Electronic Engineering, Kyonggi University, Suwon 16227, Kyonggi-Do, KoreaSchool of Electrical and Electronic Engineering, Yonsei University, Seodaemun-Gu, Seoul 03722, KoreaIn this paper, a backstepping-based formation control of quadrotors with the state transformation technique is proposed. First, the dynamics of a quadrotor is derived by using the Newton–Euler formulation. Next, a backstepping-based formation control for quadrotors using a state transformation technique is presented. In the position control, which is the basis of formation control, it is possible to derive the reference attitude angles employing a state transformation technique without the small angle assumption or the simplified dynamics usually used. Stability analysis based on the Lyapunov theorem shows that the proposed formation controller can provide a quadrotor formation error system that is asymptotically stabilized. Finally, we verify the performance of the proposed formation control method through comparison simulations.https://www.mdpi.com/2076-3417/7/11/1170backstepping methodformation controlquadrotorposition controlsmall angle assumptionstate transformation techniqueasymptotical stability
collection DOAJ
language English
format Article
sources DOAJ
author Keun Uk Lee
Yoon Ho Choi
Jin Bae Park
spellingShingle Keun Uk Lee
Yoon Ho Choi
Jin Bae Park
Backstepping Based Formation Control of Quadrotors with the State Transformation Technique
Applied Sciences
backstepping method
formation control
quadrotor
position control
small angle assumption
state transformation technique
asymptotical stability
author_facet Keun Uk Lee
Yoon Ho Choi
Jin Bae Park
author_sort Keun Uk Lee
title Backstepping Based Formation Control of Quadrotors with the State Transformation Technique
title_short Backstepping Based Formation Control of Quadrotors with the State Transformation Technique
title_full Backstepping Based Formation Control of Quadrotors with the State Transformation Technique
title_fullStr Backstepping Based Formation Control of Quadrotors with the State Transformation Technique
title_full_unstemmed Backstepping Based Formation Control of Quadrotors with the State Transformation Technique
title_sort backstepping based formation control of quadrotors with the state transformation technique
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2017-11-01
description In this paper, a backstepping-based formation control of quadrotors with the state transformation technique is proposed. First, the dynamics of a quadrotor is derived by using the Newton–Euler formulation. Next, a backstepping-based formation control for quadrotors using a state transformation technique is presented. In the position control, which is the basis of formation control, it is possible to derive the reference attitude angles employing a state transformation technique without the small angle assumption or the simplified dynamics usually used. Stability analysis based on the Lyapunov theorem shows that the proposed formation controller can provide a quadrotor formation error system that is asymptotically stabilized. Finally, we verify the performance of the proposed formation control method through comparison simulations.
topic backstepping method
formation control
quadrotor
position control
small angle assumption
state transformation technique
asymptotical stability
url https://www.mdpi.com/2076-3417/7/11/1170
work_keys_str_mv AT keunuklee backsteppingbasedformationcontrolofquadrotorswiththestatetransformationtechnique
AT yoonhochoi backsteppingbasedformationcontrolofquadrotorswiththestatetransformationtechnique
AT jinbaepark backsteppingbasedformationcontrolofquadrotorswiththestatetransformationtechnique
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