期刊
ISA TRANSACTIONS
卷 138, 期 -, 页码 37-48出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.isatra.2023.03.010
关键词
Fixed-time convergence; Fractional-order multi agent systems; Sliding-mode; Virtual leader
This paper investigates fixed-time consensus and formation control for fractional-order multi-agent systems with a dynamic virtual leader in the presence of external disturbances. Consensus is achieved in fixed-time using a new distributed sliding-mode control with neighborhood-based error variable. The fractional Lyapunov stability theorem is employed to prove stability and estimate convergence bounds. The effectiveness of the design method is demonstrated through numerical simulations.
In this paper, fixed-time consensus and formation control for fractional-order multi-agent systems with a dynamic virtual leader in the presence of external disturbances is investigated. Consensus is achieved in fixed-time, i.e., with a finite settling time whose upper bound is independent of the initial conditions of the agents' states. A new distributed sliding-mode control with neighborhood-based error variable is proposed to track a virtual leader in order to achieve a desired consensus in the presence of disturbances. Furthermore, the fractional Lyapunov stability theorem has been employed to prove the fixed-time stability and to estimate the upper bound of convergence. The formation of agents has also been investigated for the agents of fractional-order. Finally, several numerical simulations are provided to determine the effectiveness of the design method. & COPY; 2023 ISA. Published by Elsevier Ltd. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据