Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems

This article discusses the event-triggered consensus problem for a switched multi-agent system (MASs) with switching topologies. An observer-based dynamic event-triggered (DET) controller with a discontinuous nonlinear term is designed to reduce arduous communication. With the designed approach, the...

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Main Authors: Xiaoli Ruan, Jiayi Cai, Zhaojing Wang, Chen Wang, Huali Yang
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/13/2861
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author Xiaoli Ruan
Jiayi Cai
Zhaojing Wang
Chen Wang
Huali Yang
author_facet Xiaoli Ruan
Jiayi Cai
Zhaojing Wang
Chen Wang
Huali Yang
author_sort Xiaoli Ruan
collection DOAJ
description This article discusses the event-triggered consensus problem for a switched multi-agent system (MASs) with switching topologies. An observer-based dynamic event-triggered (DET) controller with a discontinuous nonlinear term is designed to reduce arduous communication. With the designed approach, the error system can reach a tracking consensus. Then, a continuous observer-based DET protocol is created using the boundary layer method to prevent chattering effects. Moreover, by employing the Riccati equation and the switched Lyapunov function method, some sufficient criteria are put forward to guarantee the tracking consensus of the systems. The suggested observer-based DET protocol can also exclude the Zeno behavior. Finally, two examples verify the validity of the analysis.
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spelling doaj.art-ffae0225921d46cfbaa0fcd84ce289802023-11-18T17:02:24ZengMDPI AGMathematics2227-73902023-06-011113286110.3390/math11132861Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent SystemsXiaoli Ruan0Jiayi Cai1Zhaojing Wang2Chen Wang3Huali Yang4School of Computer Science and Aritificial Intelligence, Wuhan Textile University, Wuhan 430200, ChinaSchool of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550031, ChinaSchool of Computer Science and Aritificial Intelligence, Wuhan Textile University, Wuhan 430200, ChinaSchool of Computer Science and Aritificial Intelligence, Wuhan Textile University, Wuhan 430200, ChinaSchool of Computer Science and Aritificial Intelligence, Wuhan Textile University, Wuhan 430200, ChinaThis article discusses the event-triggered consensus problem for a switched multi-agent system (MASs) with switching topologies. An observer-based dynamic event-triggered (DET) controller with a discontinuous nonlinear term is designed to reduce arduous communication. With the designed approach, the error system can reach a tracking consensus. Then, a continuous observer-based DET protocol is created using the boundary layer method to prevent chattering effects. Moreover, by employing the Riccati equation and the switched Lyapunov function method, some sufficient criteria are put forward to guarantee the tracking consensus of the systems. The suggested observer-based DET protocol can also exclude the Zeno behavior. Finally, two examples verify the validity of the analysis.https://www.mdpi.com/2227-7390/11/13/2861multi-agent systemsobserver-baseddynamic event-triggered protocoltracking consensus
spellingShingle Xiaoli Ruan
Jiayi Cai
Zhaojing Wang
Chen Wang
Huali Yang
Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems
Mathematics
multi-agent systems
observer-based
dynamic event-triggered protocol
tracking consensus
title Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems
title_full Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems
title_fullStr Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems
title_full_unstemmed Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems
title_short Observer-Based Dynamic Event-Triggered Tracking Consensus for Switched Multi-Agent Systems
title_sort observer based dynamic event triggered tracking consensus for switched multi agent systems
topic multi-agent systems
observer-based
dynamic event-triggered protocol
tracking consensus
url https://www.mdpi.com/2227-7390/11/13/2861
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AT zhaojingwang observerbaseddynamiceventtriggeredtrackingconsensusforswitchedmultiagentsystems
AT chenwang observerbaseddynamiceventtriggeredtrackingconsensusforswitchedmultiagentsystems
AT hualiyang observerbaseddynamiceventtriggeredtrackingconsensusforswitchedmultiagentsystems