Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions

This paper focuses on the safety-critical fixed-time formation control of quadrotor UAVs with disturbance and obstacle collision risk. The control scheme is organized in a distributed manner, with the leader’s position and velocity being estimated simultaneously by a fixed-time distributed observer....

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Main Authors: Zilong Song, Haocai Huang
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/8/11/618
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author Zilong Song
Haocai Huang
author_facet Zilong Song
Haocai Huang
author_sort Zilong Song
collection DOAJ
description This paper focuses on the safety-critical fixed-time formation control of quadrotor UAVs with disturbance and obstacle collision risk. The control scheme is organized in a distributed manner, with the leader’s position and velocity being estimated simultaneously by a fixed-time distributed observer. Meanwhile, a disturbance observer that combines fixed-time control theory and sliding mode control is designed to estimate the external disturbance. Based on these techniques, we design a nominal control law to drive UAVs to track the desired formation in a fixed time. Regarding obstacle avoidance, we first construct safety constraints using control barrier functions (CBFs). Then, obstacle avoidance can be achieved by solving an optimization problem with these safety constraints, thus minimally affecting tracking performance. The main contributions of this process are twofold. First, an exponential CBF is provided to deal with the UAV model with a high relative degree. Moreover, a robust exponential CBF is designed for UAVs with disturbance, which provides robust safety constraints to ensure obstacle avoidance despite disturbance. Finally, simulation results show the validity of the proposed method.
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institution Kabale University
issn 2504-446X
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publishDate 2024-10-01
publisher MDPI AG
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series Drones
spelling doaj-art-6e686e8d69d4441bbb6e07a85a5a91ec2024-11-26T18:00:35ZengMDPI AGDrones2504-446X2024-10-0181161810.3390/drones8110618Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier FunctionsZilong Song0Haocai Huang1Ocean College, Zhejiang University, Hangzhou 310058, ChinaDonghai Laboratory, Zhoushan 316021, ChinaThis paper focuses on the safety-critical fixed-time formation control of quadrotor UAVs with disturbance and obstacle collision risk. The control scheme is organized in a distributed manner, with the leader’s position and velocity being estimated simultaneously by a fixed-time distributed observer. Meanwhile, a disturbance observer that combines fixed-time control theory and sliding mode control is designed to estimate the external disturbance. Based on these techniques, we design a nominal control law to drive UAVs to track the desired formation in a fixed time. Regarding obstacle avoidance, we first construct safety constraints using control barrier functions (CBFs). Then, obstacle avoidance can be achieved by solving an optimization problem with these safety constraints, thus minimally affecting tracking performance. The main contributions of this process are twofold. First, an exponential CBF is provided to deal with the UAV model with a high relative degree. Moreover, a robust exponential CBF is designed for UAVs with disturbance, which provides robust safety constraints to ensure obstacle avoidance despite disturbance. Finally, simulation results show the validity of the proposed method.https://www.mdpi.com/2504-446X/8/11/618formation controlfixed-time controlcontrol barrier functionssafety-critical controlobstacle avoidancequadrotor UAVs
spellingShingle Zilong Song
Haocai Huang
Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions
Drones
formation control
fixed-time control
control barrier functions
safety-critical control
obstacle avoidance
quadrotor UAVs
title Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions
title_full Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions
title_fullStr Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions
title_full_unstemmed Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions
title_short Safety-Critical Fixed-Time Formation Control of Quadrotor UAVs with Disturbance Based on Robust Control Barrier Functions
title_sort safety critical fixed time formation control of quadrotor uavs with disturbance based on robust control barrier functions
topic formation control
fixed-time control
control barrier functions
safety-critical control
obstacle avoidance
quadrotor UAVs
url https://www.mdpi.com/2504-446X/8/11/618
work_keys_str_mv AT zilongsong safetycriticalfixedtimeformationcontrolofquadrotoruavswithdisturbancebasedonrobustcontrolbarrierfunctions
AT haocaihuang safetycriticalfixedtimeformationcontrolofquadrotoruavswithdisturbancebasedonrobustcontrolbarrierfunctions