Bipartite Containment Control for Multi-agent Systems Under Fixed and Markov Switching Topologies

被引：4

作者：

Gu, Xuan ^{[1
]}

Zhou, Wuneng ^{[1
,2
]}

Wu, You ^{[1
]}

Wu, Wanpeng ^{[1
]}

Yang, Guang ^{[1
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, 300 Wenhui Rd, Shanghai 201620, Peoples R China

[2] Donghua Univ, Engn Res Ctr Digitized Text & Fash Technol, 300 Wenhui Rd, Shanghai 201620, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2023年 / 21卷 / 04期

基金：

上海市自然科学基金;

关键词：

Bipartite consensus; containment control protocol; fixed topology; Markov switching topologies; multiagent system; LINEAR-SYSTEMS; TRANSITION; CONSENSUS;

D O I：

10.1007/s12555-022-0027-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The distributed bipartite containment control problem of a set of general linear multi-agent systems with structural balanced symbolic graph is studied. The containment control analysis of communication topology under fixed topology and Markov switching topologies are given. Different from the traditional multi-agent containment control, a distributed observer and bipartite containment protocol are designed based on relative neighbour information. Algebraic graph theory and Lyapunov stability theory are applied to make the bipartite containment error and estimation error converge to zero under the action of the containment control protocol, thus making follower agents converge asymptotically to the states of leader agents. Finally, the effectiveness of the theoretical method is verified by simulation examples.

引用

页码：1331 / 1337

页数：7

共 17 条

[1] Consensus Problems on Networks With Antagonistic Interactions [J].

Altafini, Claudio .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2013, 58 (04) :935-946

[2] Distributed Adaptive Tracking Control for High-Order Nonlinear Multiagent Systems Over Event-Triggered Communication [J].

Deng, Chao ;

Wen, Changyun ;

Wang, Wei ;

Li, Xinyao ;

Yue, Dong .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (02) :1176-1183

[3] Sampled-data leader-following consensus for nonlinear multi-agent systems with Markovian switching topologies and communication delay [J].

Ding, Lei ;

Guo, Ge .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (01) :369-383

[4]

Ferrari-Trecate G, 2006, LECT NOTES COMPUT SC, V3927, P212

[5] A unified approach for stochastic and mean square stability of continuous-time linear systems with Markovian jumping parameters and additive disturbances [J].

Fragoso, MD ;

Costa, OLV .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (04) :1165-1191

[6] Linear Systems With Medium-Access Constraint and Markov Actuator Assignment [J].

Guo, Ge .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2010, 57 (11) :2999-3010

[7] Coordination of groups of mobile autonomous agents using nearest neighbor rules [J].

Jadbabaie, A ;

Lin, J ;

Morse, AS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (06) :988-1001

[8] Robust control with decoupling performance for steering and traction of 4WS vehicles under velocity-varying motion [J].

Jia, YM .

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2000, 8 (03) :554-569

[9] Alternative proofs for improved LMI representations for the analysis and the design of continuous-time systems with polytopic type uncertainty: A predictive approach [J].

Jia, YM .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (08) :1413-1416

[10] A study on the uncertainty of convolutional layers in deep neural networks [J].

Shen, Haojing ;

Chen, Sihong ;

Wang, Ran .

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2021, 12 (06) :1853-1865

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