PI-Observer-Based Consensus of Nonlinear Multiagent Systems via Reduced-Order Edge State Dynamics and Decentralized Procedure

被引:1
作者
Chen, Yangzhou [1 ]
Huang, Xiaolong [1 ]
机构
[1] Beijing Univ Technol, Coll Artificial Intelligence & Automat, Beijing 100124, Peoples R China
来源
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2024年 / 11卷 / 02期
关键词
Network systems; Observers; Transforms; Output feedback; Interconnected systems; Eigenvalues and eigenfunctions; Topology; Consensus; decentralized output feedback stabilization; fundamental edge states dynamic system; nonlinear multiagent system (MAS); proportional-integral (PI) observer; EVENT-TRIGGERED CONSENSUS; FIXED MODES; ROBUST-CONTROL; DESIGN;
D O I
10.1109/TCNS.2023.3312252
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article proposes a novel framework for studying the consensus problem for a class of nonlinear multiagent systems (MASs) based on decentralized output-feedback stabilization of derived reduced-order fundamental edge states dynamic systems. First, by introducing edge states dynamics with respect to a directed spanning tree of the communication topology, we equivalently transform the state consensus problem into a decentralized output feedback stabilization problem. Then, for the case of linear MASs, we derive a new sufficient and necessary consensus criterion in terms of the concept of decentralized fixed modes and also present a design procedure of the protocol gains in terms of linear matrix inequalities (LMIs). Next, a sufficient consensus condition is derived in terms of LMIs for the nonlinear MAS with local proportional-integral (PI) observers. Furthermore, to reduce the complexity of the condition verification, we introduce a graph representation of the fundamental edge states dynamic system and decompose it into strongly connected components and, thus, reorganize the condition in a decentralized form. On this basis, we present a hierarchical method to design the consensus protocols and PI observers based on the information of the subsystem itself only. Finally, several numerical examples are given to illustrate the effectiveness of the proposed method.
引用
收藏
页码:769 / 781
页数:13
相关论文
共 50 条
[31]   Attack estimation and state reconstruction for cyber-physical systems with state delay via reduced-order observer [J].
Piao, Xianglin ;
Lin, Chong ;
Zhang, Man ;
Chen, Bing .
ISA TRANSACTIONS, 2024, 144 :11-17
[32]   Bipartite Consensus of High-Order Edge Dynamics on Coopetition Multiagent Systems [J].
Yang, Yilong ;
Ji, Zhijian ;
Tian, Lei ;
Ma, Huizi ;
Qi, Qingyuan .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
[33]   Reduced-Order Observer and Chattering Reduction for Sliding Mode Control of Nonlinear Systems [J].
Bartolini, Giorgio ;
Punta, Elisabetta .
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, :8411-8416
[34]   Reduced-Order Observer-Based Adaptive Backstepping Control for Fractional-Order Uncertain Nonlinear Systems [J].
Ma, Zhiyao ;
Ma, Hongjun .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2020, 28 (12) :3287-3301
[35]   Global Fixed-Time Consensus Tracking of Nonlinear Uncertain Multiagent Systems With High-Order Dynamics [J].
Shi, Shang ;
Xu, Shengyuan ;
Liu, Wenhui ;
Zhang, Baoyong .
IEEE TRANSACTIONS ON CYBERNETICS, 2020, 50 (04) :1530-1540
[36]   A reduced-order Unknown Input Observer scheme for a class of nonlinear fractional- order systems [J].
Jmal, A. ;
Naifar, O. ;
Ben Makhlouf, A. ;
Derbel, N. .
2017 18TH INTERNATIONAL CONFERENCE ON SCIENCES AND TECHNIQUES OF AUTOMATIC CONTROL AND COMPUTER ENGINEERING (STA), 2017, :267-271
[37]   Consensus of General Linear and Lipschitz Nonlinear Multi-Agent Systems with Reduced-Order Protocols [J].
Diao Miao ;
Duan Zhisheng ;
Wen Guanghui .
2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, :1494-1498
[38]   Output Tracking Based on Reduced-Order Observer for Fully Actuated Systems [J].
Jiang, Hong ;
Duan, Guangren .
2024 3RD CONFERENCE ON FULLY ACTUATED SYSTEM THEORY AND APPLICATIONS, FASTA 2024, 2024, :72-77
[39]   Distributed reduced-order observer-based approach to consensus problems for linear multi-agent systems [J].
Gao, Lixin ;
Xu, Bingbing ;
Li, Junwei ;
Zhang, Hui .
IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (05) :784-792
[40]   Bipartite consensus of multi-agent systems with reduced-order observer-based distributed control protocols [J].
Zhang, Xuxi ;
Wang, Xia .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2021, 52 (11) :2255-2267