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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MDPI AG
2023-10-01
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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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institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T21:05:13Z |
publishDate | 2023-10-01 |
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series | Mathematics |
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 |