Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional

This paper addresses the problem of achieving consensus control for homogeneous multi-agent systems (MASs) under aperiodic sampled data and communication delays. By incorporating additional delay information, this paper introduces two novel delay-incorporating integral terms, an enhanced two-sided l...

Full description

Saved in:
Bibliographic Details
Main Authors: Khanh Hieu Nguyen, Sung Hyun Kim
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/13/2/299
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832588053856649216
author Khanh Hieu Nguyen
Sung Hyun Kim
author_facet Khanh Hieu Nguyen
Sung Hyun Kim
author_sort Khanh Hieu Nguyen
collection DOAJ
description This paper addresses the problem of achieving consensus control for homogeneous multi-agent systems (MASs) under aperiodic sampled data and communication delays. By incorporating additional delay information, this paper introduces two novel delay-incorporating integral terms, an enhanced two-sided looped functional, and a novel discontinuous function to further exploit system state responses observed during sampling and data transmission. In addition, this paper introduces two additional zero equalities to derive less conservative stability and stabilization conditions. Based on these, sufficient conditions for guaranteeing consensus in MASs under this context are derived as linear matrix inequalities (LMIs). Finally, the effectiveness and superiority of the proposed method are validated through a numerical example.
format Article
id doaj-art-48d1be00697b448fafe3604e7e6beab1
institution Kabale University
issn 2227-7390
language English
publishDate 2025-01-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj-art-48d1be00697b448fafe3604e7e6beab12025-01-24T13:40:05ZengMDPI AGMathematics2227-73902025-01-0113229910.3390/math13020299Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-FunctionalKhanh Hieu Nguyen0Sung Hyun Kim1Department of Convergence Engineering for Intelligent Drone, Sejong University, Seoul 05006, Republic of KoreaDepartment of Electrical, Electronic and Computer Engineering, University of Ulsan, Ulsan 680-749, Republic of KoreaThis paper addresses the problem of achieving consensus control for homogeneous multi-agent systems (MASs) under aperiodic sampled data and communication delays. By incorporating additional delay information, this paper introduces two novel delay-incorporating integral terms, an enhanced two-sided looped functional, and a novel discontinuous function to further exploit system state responses observed during sampling and data transmission. In addition, this paper introduces two additional zero equalities to derive less conservative stability and stabilization conditions. Based on these, sufficient conditions for guaranteeing consensus in MASs under this context are derived as linear matrix inequalities (LMIs). Finally, the effectiveness and superiority of the proposed method are validated through a numerical example.https://www.mdpi.com/2227-7390/13/2/299consensus controlsampled-data controlmulti-agent systemstime delay
spellingShingle Khanh Hieu Nguyen
Sung Hyun Kim
Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional
Mathematics
consensus control
sampled-data control
multi-agent systems
time delay
title Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional
title_full Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional
title_fullStr Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional
title_full_unstemmed Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional
title_short Improved Sampled-Data Consensus Control for Multi-Agent Systems via Delay-Incorporating Looped-Functional
title_sort improved sampled data consensus control for multi agent systems via delay incorporating looped functional
topic consensus control
sampled-data control
multi-agent systems
time delay
url https://www.mdpi.com/2227-7390/13/2/299
work_keys_str_mv AT khanhhieunguyen improvedsampleddataconsensuscontrolformultiagentsystemsviadelayincorporatingloopedfunctional
AT sunghyunkim improvedsampleddataconsensuscontrolformultiagentsystemsviadelayincorporatingloopedfunctional