Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology

This study investigates the problem of time-varying formation tracking (TVFT) control involving event-triggered and switching topological mechanisms. Specifically, TVFT is evaluated with a consensus analysis and deduced via the use of linear matrix inequality techniques combined with Lyapunov stabil...

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Main Authors: Xiaoya Chen, Huiying Chen
Format: Article
Language:English
Published: MDPI AG 2023-10-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/20/4245
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author Xiaoya Chen
Huiying Chen
author_facet Xiaoya Chen
Huiying Chen
author_sort Xiaoya Chen
collection DOAJ
description This study investigates the problem of time-varying formation tracking (TVFT) control involving event-triggered and switching topological mechanisms. Specifically, TVFT is evaluated with a consensus analysis and deduced via the use of linear matrix inequality techniques combined with Lyapunov stability theory. This strategy obtains sufficient conditions for system stability and the feedback and coupling gains. In addition, the TVFT compensational signals are presented in two cases to enhance the algorithm’s applicability. Given that ideal multi-agent systems (MASs) should be highly flexible and resilient, we propose a co-design algorithm that strikes a balance between the need for a lower communication frequency and a reduction in the state disagreements of agents. Finally, the effectiveness of the theoretical analysis is demonstrated through 3D figures and comparison tables, from which it can be concluded that the communication frequency of the MAS was clearly reduced on the basis of ensuring consensus performance via applying the algorithm proposed in this paper.
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spelling doaj.art-e316d455a4b94e11a386e91f35730ac82023-11-19T17:13:14ZengMDPI AGMathematics2227-73902023-10-011120424510.3390/math11204245Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed TopologyXiaoya Chen0Huiying Chen1Huzhou Key Laboratory of Intelligent Sensing and Optimal Control for Industrial Systems, School of Engineering, Huzhou University, Huzhou 313000, ChinaHuzhou Key Laboratory of Intelligent Sensing and Optimal Control for Industrial Systems, School of Engineering, Huzhou University, Huzhou 313000, ChinaThis study investigates the problem of time-varying formation tracking (TVFT) control involving event-triggered and switching topological mechanisms. Specifically, TVFT is evaluated with a consensus analysis and deduced via the use of linear matrix inequality techniques combined with Lyapunov stability theory. This strategy obtains sufficient conditions for system stability and the feedback and coupling gains. In addition, the TVFT compensational signals are presented in two cases to enhance the algorithm’s applicability. Given that ideal multi-agent systems (MASs) should be highly flexible and resilient, we propose a co-design algorithm that strikes a balance between the need for a lower communication frequency and a reduction in the state disagreements of agents. Finally, the effectiveness of the theoretical analysis is demonstrated through 3D figures and comparison tables, from which it can be concluded that the communication frequency of the MAS was clearly reduced on the basis of ensuring consensus performance via applying the algorithm proposed in this paper.https://www.mdpi.com/2227-7390/11/20/4245formation tracking controlmulti-agent systemsswitching-directed topologyevent-triggered control
spellingShingle Xiaoya Chen
Huiying Chen
Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology
Mathematics
formation tracking control
multi-agent systems
switching-directed topology
event-triggered control
title Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology
title_full Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology
title_fullStr Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology
title_full_unstemmed Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology
title_short Event-Triggered Time-Varying Formation Tracking Control for Multi-Agent Systems with a Switching-Directed Topology
title_sort event triggered time varying formation tracking control for multi agent systems with a switching directed topology
topic formation tracking control
multi-agent systems
switching-directed topology
event-triggered control
url https://www.mdpi.com/2227-7390/11/20/4245
work_keys_str_mv AT xiaoyachen eventtriggeredtimevaryingformationtrackingcontrolformultiagentsystemswithaswitchingdirectedtopology
AT huiyingchen eventtriggeredtimevaryingformationtrackingcontrolformultiagentsystemswithaswitchingdirectedtopology