Distributed Formation-Containment Control for Discrete-Time Multiagent Systems Under Dynamic Event-Triggered Transmission Scheme

Chen，Wei1; Wang，Zidong2; Ding，Derui3; Ghinea，Gheorghita4; Liu，Hongjian5

2022

10.1109/TSMC.2022.3197555

IEEE Transactions on Systems Man Cybernetics-Systems   Impact Factor & Quartile

2168-2216

2168-2232

In this article, the distributed formation-containment (FC) control issue is investigated for a class of discrete-time multiagent systems (DT-MASs) under the event-triggered communication mechanism. In order to save the communication cost and improve the utilization of communication resources, a novel dynamic event-triggered (DET) mechanism is developed by adding an auxiliary variable for each agent system, which is able to dynamically adjust the triggering threshold. A distributed FC control scheme under the DET mechanism is proposed for all the leaders and followers based on the available relative outputs. The purpose of the addressed problem is to design the FC controller such that all the leaders achieve a formation shape and all the followers converge into such a convex hull. To this end, the considered DT-MASs are first decoupled into a diagonal form by resorting to the property of the Laplacian matrix as well as the inequality technique. Then, two sufficient conditions are established to ensure the desired FC performance. Furthermore, the corresponding FC controller parameters are obtained in terms of the solutions to two matrix inequalities which only depend on the maximum and minimum nonzero eigenvalues of the Laplacian matrix. Finally, an illustrative example is provided to verify the validity of the developed control scheme.

Consensus control Discrete-time systems distributed formation-containment (FC) control dynamic event-triggered (DET) protocol Laplace equations Linear matrix inequalities Multi-agent systems multiagent systems (MASs) Shape Topology Vehicle dynamics

SCI ; EI

English

First

WOS:000846424800001

20223712722993

Controllers ; Convex optimization ; Digital control systems ; Discrete time control systems ; Dynamics ; Eigenvalues and eigenfunctions ; Laplace transforms ; Linear matrix inequalities ; Networked control systems ; Vehicle transmissions

Mechanical Transmissions:602.2 ; Control Systems:731.1 ; Control System Applications:731.2 ; Control Equipment:732.1 ; Algebra:921.1 ; Mathematical Transformations:921.3

2-s2.0-85137541028

Scopus

1.Center for Control Science and Technology, Southern University of Science and Technology, Shenzhen, China
2.College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China
3.School of Science, Computing and Engineering Technologies, Swinburne University of Technology, Melbourne VIC, Australia
4.Department of Computer Science, Brunel University London, Uxbridge, U.K
5.Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, and the School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China

Chen，Wei,Wang，Zidong,Ding，Derui,et al. Distributed Formation-Containment Control for Discrete-Time Multiagent Systems Under Dynamic Event-Triggered Transmission Scheme[J]. IEEE Transactions on Systems Man Cybernetics-Systems,2022,PP(99):1-12.

Chen，Wei,Wang，Zidong,Ding，Derui,Ghinea，Gheorghita,&Liu，Hongjian.(2022).Distributed Formation-Containment Control for Discrete-Time Multiagent Systems Under Dynamic Event-Triggered Transmission Scheme.IEEE Transactions on Systems Man Cybernetics-Systems,PP(99),1-12.

Chen，Wei,et al."Distributed Formation-Containment Control for Discrete-Time Multiagent Systems Under Dynamic Event-Triggered Transmission Scheme".IEEE Transactions on Systems Man Cybernetics-Systems PP.99(2022):1-12.