Distributed consensus of discrete time-varying linear multi-agent systems with event-triggered intermittent control

Mingxia Gu; Zhiyong Yu; Haijun Jiang; Da Huang; Mingxia Gu; Zhiyong Yu; Haijun Jiang; Da Huang

doi:10.3934/mbe.2024019

Mathematical Biosciences and Engineering

2024, Volume 21, Issue 1: 415-443. doi: 10.3934/mbe.2024019

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Research article

Distributed consensus of discrete time-varying linear multi-agent systems with event-triggered intermittent control

1.
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China
2.
School of Mathematics and Statistics, Yili Normal University, Yining 835000, China
3.
School of Mathematics and Physics, Xinjiang Institute of Engineering, Urumqi 830023, China

Academic Editor: Fathalla A. Rihan

Received: 19 October 2023 Revised: 30 November 2023 Accepted: 05 December 2023 Published: 13 December 2023

The consensus problem of discrete time-varying linear multi-agent systems (MASs) is studied in this paper. First, an event-triggered intermittent control (ETIC) protocol is designed, aided by a class of auxiliary functions. Under this protocol, some sufficient conditions for all agents to achieve consensus are established by constructing an error dynamical system and applying the Lyapunov function. Second, in order to further reduce the communication burden, an improved event triggered intermittent control (I-ETIC) strategy is presented, along with corresponding convergence analysis. Notably, the difference between the two control protocols lies in the fact that the former protocol only determines when to control or not based on the trigger conditions, while the latter, building upon this, designs new event trigger conditions for the update of the controller during the control stage. Finally, two numerical simulation examples are provided to demonstrate the effectiveness of the theoretical results.
- consensus,
- discrete-time,
- event-triggered intermittent control,
- multi-agent systems,
- time-varying matrix
Citation: Mingxia Gu, Zhiyong Yu, Haijun Jiang, Da Huang. Distributed consensus of discrete time-varying linear multi-agent systems with event-triggered intermittent control[J]. Mathematical Biosciences and Engineering, 2024, 21(1): 415-443. doi: 10.3934/mbe.2024019

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Abstract

The consensus problem of discrete time-varying linear multi-agent systems (MASs) is studied in this paper. First, an event-triggered intermittent control (ETIC) protocol is designed, aided by a class of auxiliary functions. Under this protocol, some sufficient conditions for all agents to achieve consensus are established by constructing an error dynamical system and applying the Lyapunov function. Second, in order to further reduce the communication burden, an improved event triggered intermittent control (I-ETIC) strategy is presented, along with corresponding convergence analysis. Notably, the difference between the two control protocols lies in the fact that the former protocol only determines when to control or not based on the trigger conditions, while the latter, building upon this, designs new event trigger conditions for the update of the controller during the control stage. Finally, two numerical simulation examples are provided to demonstrate the effectiveness of the theoretical results.

References

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