Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties

This paper investigates the problem of rotating formation control for multi-spacecraft systems with prescribed performance in the presence of model uncertainties. Firstly, The spacecraft dynamics containing unmodelled parts is described in a polar coordinate system, which is to solve the problem of...

Full description

Bibliographic Details
Main Authors: Yan Liu, Kaiyu Qin, Weihao Li, Mengji Shi, Boxian Lin, Lu Cao
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/6/11/348
_version_ 1797468605435084800
author Yan Liu
Kaiyu Qin
Weihao Li
Mengji Shi
Boxian Lin
Lu Cao
author_facet Yan Liu
Kaiyu Qin
Weihao Li
Mengji Shi
Boxian Lin
Lu Cao
author_sort Yan Liu
collection DOAJ
description This paper investigates the problem of rotating formation control for multi-spacecraft systems with prescribed performance in the presence of model uncertainties. Firstly, The spacecraft dynamics containing unmodelled parts is described in a polar coordinate system, which is to solve the problem of the controllable angular velocity of rotating formation. Then, the prescribed performance control method is improved by developing new prescribed performance functions. Based on the improved prescribed performance control method, the distributed controller is designed for multi-spacecraft systems to achieve rotating formations with prescribed performance, i.e., the formations error converges to a predefined arbitrarily small residual set, with convergence time no less than a prespecified value. And an RBF neural network is used to fit the unmodelled components of the spacecraft dynamics. Compared with the existing works of literature, this paper not only solves the robust prescribed performance rotating formation control of multi-spacecraft system, but also acheives rotating formation with adjustable angular velocity. Finally, the Lyapunov approach is employed for convergence analysis, and simulation results are provided to illustrate the effectiveness of the theoretical results.
first_indexed 2024-03-09T19:08:50Z
format Article
id doaj.art-dd703e1aae2b42579bbb93ca87da49c5
institution Directory Open Access Journal
issn 2504-446X
language English
last_indexed 2024-03-09T19:08:50Z
publishDate 2022-11-01
publisher MDPI AG
record_format Article
series Drones
spelling doaj.art-dd703e1aae2b42579bbb93ca87da49c52023-11-24T04:22:15ZengMDPI AGDrones2504-446X2022-11-0161134810.3390/drones6110348Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with UncertaintiesYan Liu0Kaiyu Qin1Weihao Li2Mengji Shi3Boxian Lin4Lu Cao5School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaSchool of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, ChinaNational Innovation Institute of Defense Technology, Chinese Academy of Military Science, Beijing 100071, ChinaThis paper investigates the problem of rotating formation control for multi-spacecraft systems with prescribed performance in the presence of model uncertainties. Firstly, The spacecraft dynamics containing unmodelled parts is described in a polar coordinate system, which is to solve the problem of the controllable angular velocity of rotating formation. Then, the prescribed performance control method is improved by developing new prescribed performance functions. Based on the improved prescribed performance control method, the distributed controller is designed for multi-spacecraft systems to achieve rotating formations with prescribed performance, i.e., the formations error converges to a predefined arbitrarily small residual set, with convergence time no less than a prespecified value. And an RBF neural network is used to fit the unmodelled components of the spacecraft dynamics. Compared with the existing works of literature, this paper not only solves the robust prescribed performance rotating formation control of multi-spacecraft system, but also acheives rotating formation with adjustable angular velocity. Finally, the Lyapunov approach is employed for convergence analysis, and simulation results are provided to illustrate the effectiveness of the theoretical results.https://www.mdpi.com/2504-446X/6/11/348rotating formationleader-followingfinit-time controlprescribed performance controlcontrollable angular velocity
spellingShingle Yan Liu
Kaiyu Qin
Weihao Li
Mengji Shi
Boxian Lin
Lu Cao
Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties
Drones
rotating formation
leader-following
finit-time control
prescribed performance control
controllable angular velocity
title Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties
title_full Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties
title_fullStr Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties
title_full_unstemmed Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties
title_short Prescribed Performance Rotating Formation Control of Multi-Spacecraft Systems with Uncertainties
title_sort prescribed performance rotating formation control of multi spacecraft systems with uncertainties
topic rotating formation
leader-following
finit-time control
prescribed performance control
controllable angular velocity
url https://www.mdpi.com/2504-446X/6/11/348
work_keys_str_mv AT yanliu prescribedperformancerotatingformationcontrolofmultispacecraftsystemswithuncertainties
AT kaiyuqin prescribedperformancerotatingformationcontrolofmultispacecraftsystemswithuncertainties
AT weihaoli prescribedperformancerotatingformationcontrolofmultispacecraftsystemswithuncertainties
AT mengjishi prescribedperformancerotatingformationcontrolofmultispacecraftsystemswithuncertainties
AT boxianlin prescribedperformancerotatingformationcontrolofmultispacecraftsystemswithuncertainties
AT lucao prescribedperformancerotatingformationcontrolofmultispacecraftsystemswithuncertainties