Leader-follower consensus of a fractional-order multi-agent system based on event-triggered control and extended state observer

Xingyun Shi; Xuqiong Luo; Xingyun Shi; Xuqiong Luo

doi:10.3934/math.2025707

AIMS Mathematics

2025, Volume 10, Issue 7: 15785-15810. doi: 10.3934/math.2025707

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Research article

Leader-follower consensus of a fractional-order multi-agent system based on event-triggered control and extended state observer

Xingyun Shi ,
Xuqiong Luo ^,

School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 410114, China

Received: 19 May 2025 Revised: 19 June 2025 Accepted: 25 June 2025 Published: 10 July 2025
MSC : 34D23, 34H05, 93A16, 93D05

A leader-follower consensus of a fractional-order multi-agent system with external disturbances is addressed throughout this paper. To suppress disturbance, we established a predictive extended state observer and designed an event-triggered control. Utilizing the Lyapunov method along with stability theory for fractional-order systems, we constructed a sufficient condition to attain a leader-follower consensus. Furthermore, we demonstrated that Zeno behavior does not appear during the triggering process. Last, we performed some numerical simulations to confirm the effectiveness of the control strategy.
- fractional-order multi-agent system,
- leader-follower consensus,
- Lyapunov method,
- event-triggered control,
- extended state observer
Citation: Xingyun Shi, Xuqiong Luo. Leader-follower consensus of a fractional-order multi-agent system based on event-triggered control and extended state observer[J]. AIMS Mathematics, 2025, 10(7): 15785-15810. doi: 10.3934/math.2025707

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Abstract

A leader-follower consensus of a fractional-order multi-agent system with external disturbances is addressed throughout this paper. To suppress disturbance, we established a predictive extended state observer and designed an event-triggered control. Utilizing the Lyapunov method along with stability theory for fractional-order systems, we constructed a sufficient condition to attain a leader-follower consensus. Furthermore, we demonstrated that Zeno behavior does not appear during the triggering process. Last, we performed some numerical simulations to confirm the effectiveness of the control strategy.

References

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