Distributed adaptive event-triggered control for general linear singular multi-agent systems

Yuming Chen; Jie Gao; Luan Teng; Yuming Chen; Jie Gao; Luan Teng

doi:10.3934/math.2023792

AIMS Mathematics

2023, Volume 8, Issue 7: 15536-15552. doi: 10.3934/math.2023792

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Research article

Distributed adaptive event-triggered control for general linear singular multi-agent systems

The School of Science, Southwest Petroleum University, Chengdu 610500, China

Received: 26 September 2022 Revised: 16 February 2023 Accepted: 10 March 2023 Published: 26 April 2023
MSC : 37F99, 39A05, 39A06, 70E55, 70E60

This paper investigates the leader-following consensus of general linear singular multi-agent systems. A fully distributed adaptive event-triggered control protocol is first proposed by using the relative state estimate information between neighboring agents. Moreover, the proposed protocol does not require continuous communication between neighbors, which greatly alleviate the negative impact of communication. In addition, a novel adaptive gain is proposed, which will avoid using the Laplace of communication graph. Zeno behavior is excluded by proving that the inter-event times are lower bounded by a positive constant. Finally, a numerical simulation is proposed to verify the effectiveness and reliability of the protocol.
- adaptive event-triggered control,
- fully distributed control,
- leader-following consensus,
- singular multi-agent systems
Citation: Yuming Chen, Jie Gao, Luan Teng. Distributed adaptive event-triggered control for general linear singular multi-agent systems[J]. AIMS Mathematics, 2023, 8(7): 15536-15552. doi: 10.3934/math.2023792

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Abstract

This paper investigates the leader-following consensus of general linear singular multi-agent systems. A fully distributed adaptive event-triggered control protocol is first proposed by using the relative state estimate information between neighboring agents. Moreover, the proposed protocol does not require continuous communication between neighbors, which greatly alleviate the negative impact of communication. In addition, a novel adaptive gain is proposed, which will avoid using the Laplace of communication graph. Zeno behavior is excluded by proving that the inter-event times are lower bounded by a positive constant. Finally, a numerical simulation is proposed to verify the effectiveness and reliability of the protocol.

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