Iterative Learning Formation Control via Input Sharing for Fractional-Order Singular Multi-Agent Systems with Local Lipschitz Nonlinearity

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2024-06-11 DOI:10.3390/fractalfract8060347

Guangxu Wang, Rui Wang, Danhu Yi, Xingyu Zhou, Shuyu Zhang

引用次数: 0

Abstract

For a class of fractional-order singular multi-agent systems (FOSMASs) with local Lipschitz nonlinearity, this paper proposes a closed-loop Dα-type iterative learning formation control law via input sharing to achieve the stable formation of FOSMASs in a finite time. Firstly, the formation control issue of FOSMASs with local Lipschitz nonlinearity under the fixed communication topology (FCT) is transformed into the consensus tracking control scenario. Secondly, by virtue of utilizing the characteristics of fractional calculus and the generalized Gronwall inequality, sufficient conditions for the convergence of formation error are given. Then, drawing upon the FCT, the iteration-varying switching communication topology is considered and examined. Ultimately, the validity of the Dα-type learning method is showcased through two numerical cases.

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通过输入共享对具有局部 Lipschitz 非线性的分数阶奇异多代理系统进行迭代学习编队控制

针对一类具有局部 Lipschitz 非线性的分数阶奇异多代理系统（FOSMASs），本文提出了一种通过输入共享的闭环 Dα 型迭代学习编队控制法，以在有限时间内实现 FOSMASs 的稳定编队。首先，将固定通信拓扑（FCT）下具有局部 Lipschitz 非线性的 FOSMAS 的编队控制问题转化为共识跟踪控制方案。其次，利用分式微积分和广义 Gronwall 不等式的特点，给出了编队误差收敛的充分条件。然后，借鉴 FCT，考虑并研究了迭代变化的切换通信拓扑。最后，通过两个数值案例展示了 Dα 型学习方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.