State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors

This study is aimed at addressing the adaptive leader–follower safety formation control problem for multiple quadrotors with limited measurement range, unknown disturbances, and thrust saturation. We develop a novel state-transformation-based unified design strategy to solve the underactu...

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Main Authors: Bong Seok Park, Sung Jin Yoo
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10113622/
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author Bong Seok Park
Sung Jin Yoo
author_facet Bong Seok Park
Sung Jin Yoo
author_sort Bong Seok Park
collection DOAJ
description This study is aimed at addressing the adaptive leader–follower safety formation control problem for multiple quadrotors with limited measurement range, unknown disturbances, and thrust saturation. We develop a novel state-transformation-based unified design strategy to solve the underactuation and nonlinear input coupling problems of quadrotors without dividing the outer and inner loop subsystems. First, the state transformation technique is introduced to extract virtual control variables from nonlinear coupled terms combined with the thrust input. Then, a unified formation error is designed to ensure safe formation tracking between the leader and followers with limited measurement range. In the design of a controller, compensating signals using radial basis function neural networks are introduced to compensate for unknown nonlinear terms and develop a modified command-filtered backstepping method. The proposed approach outperforms the existing hierarchical designs and can effectively avoid collisions between quadrotors, even in scenarios with thrust saturation and external disturbances. The Lyapunov stability theory is used to demonstrate that all the errors in the closed-loop system are bounded and can be arbitrarily reduced. Finally, comparative analyses are performed based on simulations to verify the effectiveness of the proposed theoretical approach.
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spelling doaj.art-08841db9edd548cc8625da837813795e2023-06-12T23:00:51ZengIEEEIEEE Access2169-35362023-01-0111434994351010.1109/ACCESS.2023.327203810113622State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple QuadrotorsBong Seok Park0https://orcid.org/0000-0003-2878-345XSung Jin Yoo1https://orcid.org/0000-0002-5580-7528Division of Electrical Electronic Control Engineering, Institute of IT Convergence Technology, Kongju National University, Cheonan, South KoreaSchool of Electrical and Electronics Engineering, Chung-Ang University, Seoul, Dongjak, Republic of KoreaThis study is aimed at addressing the adaptive leader–follower safety formation control problem for multiple quadrotors with limited measurement range, unknown disturbances, and thrust saturation. We develop a novel state-transformation-based unified design strategy to solve the underactuation and nonlinear input coupling problems of quadrotors without dividing the outer and inner loop subsystems. First, the state transformation technique is introduced to extract virtual control variables from nonlinear coupled terms combined with the thrust input. Then, a unified formation error is designed to ensure safe formation tracking between the leader and followers with limited measurement range. In the design of a controller, compensating signals using radial basis function neural networks are introduced to compensate for unknown nonlinear terms and develop a modified command-filtered backstepping method. The proposed approach outperforms the existing hierarchical designs and can effectively avoid collisions between quadrotors, even in scenarios with thrust saturation and external disturbances. The Lyapunov stability theory is used to demonstrate that all the errors in the closed-loop system are bounded and can be arbitrarily reduced. Finally, comparative analyses are performed based on simulations to verify the effectiveness of the proposed theoretical approach.https://ieeexplore.ieee.org/document/10113622/Safety formation controlstate transformationmultiple quadrotorsunderactuated systemlimited measurement range
spellingShingle Bong Seok Park
Sung Jin Yoo
State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors
IEEE Access
Safety formation control
state transformation
multiple quadrotors
underactuated system
limited measurement range
title State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors
title_full State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors
title_fullStr State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors
title_full_unstemmed State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors
title_short State-Transformation-Based Recursive Design Strategy for Leader-Follower Safety Formation Control of Uncertain Multiple Quadrotors
title_sort state transformation based recursive design strategy for leader follower safety formation control of uncertain multiple quadrotors
topic Safety formation control
state transformation
multiple quadrotors
underactuated system
limited measurement range
url https://ieeexplore.ieee.org/document/10113622/
work_keys_str_mv AT bongseokpark statetransformationbasedrecursivedesignstrategyforleaderfollowersafetyformationcontrolofuncertainmultiplequadrotors
AT sungjinyoo statetransformationbasedrecursivedesignstrategyforleaderfollowersafetyformationcontrolofuncertainmultiplequadrotors