Work

Time-varying formation consensus for fractional-order multi-agent systems based on sliding mode control

Year: 2024

Type: article

Abstract: This article addresses the problem of time-varying formation control when the fractional derivatives of the expected formation are different from the fractional multi-agent system. To achieve the infinite convergence of the relative position among agents, the synthetic error of the agent is introduced. Then according to the sliding mode control theory, the sliding mode function is designed based on the defined error. The time-varying formation control problem converts into the asymptotic stability problem of the system. Sufficient conditions for fractional-order multi-agent systems are derived by employing the Lyapunov stability theory, matrix theory, graph theory, and property of fractional-order systems. Finally, two numerical simulations are presented to validate the theoretical analysis.

Source: Transactions of the Institute of Measurement and Control

DOI: 10.1177/01423312241291089

Authors: Yangyang Cai, Sulan Li, Jiaming Chang, Yunru Zhu

Institution: Xidian University

Language: English

Topic: Distributed Control Multi-Agent Systems

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

Funder: Natural Science Foundation of Shaanxi Province

Award: G8561561989