Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems

This paper studies the distributed bipartite output formation control problem of heterogeneous discrete-time linear multi-agent systems (MASs) via cooperative output regulation theory. To construct the bipartite formation, under the structurally-balanced augmented directed signed graph, the follower...

Full description

Bibliographic Details
Main Authors: Jie Zhang, Yao Yao, Jian-An Wang, Zhiqiang Li, Penghui Feng, Wulin Bai
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10418915/
_version_ 1827355311168552960
author Jie Zhang
Yao Yao
Jian-An Wang
Zhiqiang Li
Penghui Feng
Wulin Bai
author_facet Jie Zhang
Yao Yao
Jian-An Wang
Zhiqiang Li
Penghui Feng
Wulin Bai
author_sort Jie Zhang
collection DOAJ
description This paper studies the distributed bipartite output formation control problem of heterogeneous discrete-time linear multi-agent systems (MASs) via cooperative output regulation theory. To construct the bipartite formation, under the structurally-balanced augmented directed signed graph, the followers of two antagonistic subgroups are supposed to respectively keep the desired relative positions with the leader, also called as the exosystem, in the same magnitude but the opposite sign. Since the information of exosystem can not be directly obtained by all followers, the distributed exosystem observer based on the discrete-time algebraic Riccati equality (ARE) is presented and the distributed state feedback controller is further designed. Moreover, in the case where the states of followers are not available, the distributed output feedback controller is proposed by introducing the state estimator. Finally, two numerical examples are given to demonstrate the effectiveness of analytic results.
first_indexed 2024-03-08T04:08:56Z
format Article
id doaj.art-ba9c225af46749e09c133a4b604f5103
institution Directory Open Access Journal
issn 2169-3536
language English
last_indexed 2024-03-08T04:08:56Z
publishDate 2024-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj.art-ba9c225af46749e09c133a4b604f51032024-02-09T00:03:08ZengIEEEIEEE Access2169-35362024-01-0112189011891210.1109/ACCESS.2024.336180810418915Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent SystemsJie Zhang0https://orcid.org/0000-0001-8919-3328Yao Yao1Jian-An Wang2Zhiqiang Li3https://orcid.org/0000-0002-7992-2694Penghui Feng4Wulin Bai5School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, ChinaSchool of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, ChinaSchool of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, ChinaThe 32nd Research Institute of China Electronics Technology Group Corporation, Shanghai, ChinaSchool of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, ChinaSchool of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, ChinaThis paper studies the distributed bipartite output formation control problem of heterogeneous discrete-time linear multi-agent systems (MASs) via cooperative output regulation theory. To construct the bipartite formation, under the structurally-balanced augmented directed signed graph, the followers of two antagonistic subgroups are supposed to respectively keep the desired relative positions with the leader, also called as the exosystem, in the same magnitude but the opposite sign. Since the information of exosystem can not be directly obtained by all followers, the distributed exosystem observer based on the discrete-time algebraic Riccati equality (ARE) is presented and the distributed state feedback controller is further designed. Moreover, in the case where the states of followers are not available, the distributed output feedback controller is proposed by introducing the state estimator. Finally, two numerical examples are given to demonstrate the effectiveness of analytic results.https://ieeexplore.ieee.org/document/10418915/Bipartite output formationdiscrete-timemulti-agent systemscooperative output regulationdirected signed graph
spellingShingle Jie Zhang
Yao Yao
Jian-An Wang
Zhiqiang Li
Penghui Feng
Wulin Bai
Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems
IEEE Access
Bipartite output formation
discrete-time
multi-agent systems
cooperative output regulation
directed signed graph
title Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems
title_full Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems
title_fullStr Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems
title_full_unstemmed Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems
title_short Distributed Bipartite Output Formation Control for Heterogeneous Discrete-Time Linear Multi-Agent Systems
title_sort distributed bipartite output formation control for heterogeneous discrete time linear multi agent systems
topic Bipartite output formation
discrete-time
multi-agent systems
cooperative output regulation
directed signed graph
url https://ieeexplore.ieee.org/document/10418915/
work_keys_str_mv AT jiezhang distributedbipartiteoutputformationcontrolforheterogeneousdiscretetimelinearmultiagentsystems
AT yaoyao distributedbipartiteoutputformationcontrolforheterogeneousdiscretetimelinearmultiagentsystems
AT jiananwang distributedbipartiteoutputformationcontrolforheterogeneousdiscretetimelinearmultiagentsystems
AT zhiqiangli distributedbipartiteoutputformationcontrolforheterogeneousdiscretetimelinearmultiagentsystems
AT penghuifeng distributedbipartiteoutputformationcontrolforheterogeneousdiscretetimelinearmultiagentsystems
AT wulinbai distributedbipartiteoutputformationcontrolforheterogeneousdiscretetimelinearmultiagentsystems