Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints

In this paper, the formation coordination control of discrete-time distributed leaderless multiple autonomous underwater vehicle (AUV) system with double independent position–velocity communication topology and control inputs on a nonconvex set is studied. Firstly, the problem of formation coordinat...

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Main Authors: Zheping Yan, Lidong Yue, Jiajia Zhou, Xiaoli Pan, Chao Zhang
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/11/1/107
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author Zheping Yan
Lidong Yue
Jiajia Zhou
Xiaoli Pan
Chao Zhang
author_facet Zheping Yan
Lidong Yue
Jiajia Zhou
Xiaoli Pan
Chao Zhang
author_sort Zheping Yan
collection DOAJ
description In this paper, the formation coordination control of discrete-time distributed leaderless multiple autonomous underwater vehicle (AUV) system with double independent position–velocity communication topology and control inputs on a nonconvex set is studied. Firstly, the problem of formation coordination control of multi-AUV system is transformed into the problem of formation consensus of multi-AUV system, and the consistent state of leaderless multi-AUV system formation was defined. Secondly, considering the existence of bounded communication delay and nonconvex control input constraints for multi-AUV system formation under weak communication conditions, a formation consistent constraint controller algorithm for discrete-time leaderless multi-AUV system with double independent communication topology is proposed by introducing constraint operators. By using the properties of graph theory, random matrix and SIA matrix, and selecting appropriate controller parameters, the multi-AUV system formation can reach the defined consensus state. Furthermore, the unbounded communication delay of multi-AUV system formation is studied. Finally, the simulation results show that the proposed controller constraint algorithm is effective.
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spelling doaj.art-eaa248cebb204809b2a3e8d496737ca22023-11-30T22:57:16ZengMDPI AGJournal of Marine Science and Engineering2077-13122023-01-0111110710.3390/jmse11010107Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input ConstraintsZheping Yan0Lidong Yue1Jiajia Zhou2Xiaoli Pan3Chao Zhang4College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaIn this paper, the formation coordination control of discrete-time distributed leaderless multiple autonomous underwater vehicle (AUV) system with double independent position–velocity communication topology and control inputs on a nonconvex set is studied. Firstly, the problem of formation coordination control of multi-AUV system is transformed into the problem of formation consensus of multi-AUV system, and the consistent state of leaderless multi-AUV system formation was defined. Secondly, considering the existence of bounded communication delay and nonconvex control input constraints for multi-AUV system formation under weak communication conditions, a formation consistent constraint controller algorithm for discrete-time leaderless multi-AUV system with double independent communication topology is proposed by introducing constraint operators. By using the properties of graph theory, random matrix and SIA matrix, and selecting appropriate controller parameters, the multi-AUV system formation can reach the defined consensus state. Furthermore, the unbounded communication delay of multi-AUV system formation is studied. Finally, the simulation results show that the proposed controller constraint algorithm is effective.https://www.mdpi.com/2077-1312/11/1/107leaderless multi-AUVformation coordinated controldiscrete-timedouble independent communication topologynonconvex control input
spellingShingle Zheping Yan
Lidong Yue
Jiajia Zhou
Xiaoli Pan
Chao Zhang
Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints
Journal of Marine Science and Engineering
leaderless multi-AUV
formation coordinated control
discrete-time
double independent communication topology
nonconvex control input
title Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints
title_full Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints
title_fullStr Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints
title_full_unstemmed Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints
title_short Formation Coordination Control of Leaderless Multi-AUV System with Double Independent Communication Topology and Nonconvex Control Input Constraints
title_sort formation coordination control of leaderless multi auv system with double independent communication topology and nonconvex control input constraints
topic leaderless multi-AUV
formation coordinated control
discrete-time
double independent communication topology
nonconvex control input
url https://www.mdpi.com/2077-1312/11/1/107
work_keys_str_mv AT zhepingyan formationcoordinationcontrolofleaderlessmultiauvsystemwithdoubleindependentcommunicationtopologyandnonconvexcontrolinputconstraints
AT lidongyue formationcoordinationcontrolofleaderlessmultiauvsystemwithdoubleindependentcommunicationtopologyandnonconvexcontrolinputconstraints
AT jiajiazhou formationcoordinationcontrolofleaderlessmultiauvsystemwithdoubleindependentcommunicationtopologyandnonconvexcontrolinputconstraints
AT xiaolipan formationcoordinationcontrolofleaderlessmultiauvsystemwithdoubleindependentcommunicationtopologyandnonconvexcontrolinputconstraints
AT chaozhang formationcoordinationcontrolofleaderlessmultiauvsystemwithdoubleindependentcommunicationtopologyandnonconvexcontrolinputconstraints