Practical predefined-time consensus control for stochastic nonlinear multiagent systems with time-varying state constraints

IF 4.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-16 DOI:10.1016/j.jfranklin.2025.108058

Liping Xie , Yefeng Xu , Shixiong Fang , Jian Ge , Kanjian Zhang

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引用次数: 0

Abstract

In this study, the practical predefined time(PPT) consensus control is investigated for a class of stochastic nonlinear multi-agent systems (MAS). The systems under consideration are characterized by asymmetric time-varying state constraints, pure feedback structures, and unknown nonlinear terms, all of which pose significant challenges in the design of effective control strategies. To overcome these challenges, a series of measures has been employed to ensure system stability. Firstly, an asymmetric time-varying barrier Lyapunov function (TVBLF) is introduced to address the system constraint. Additionally, a fuzzy logic system (FLS) is utilized to estimate system uncertainties. To attain the desired objectives, a PPT consensus control method is proposed, allowing for the arbitrary adjustment of the settling time in a mean-value sense. The Lyapunov stability analysis shows that the proposed control method guarantees PPT stability, with all signals bounded. Moreover, all follower agents demonstrate precise tracking of the leader’s output signal. The effectiveness of the proposed strategy has been confirmed through two simulation examples.

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具有时变状态约束的随机非线性多智能体系统的实用预定义时间一致性控制

研究了一类随机非线性多智能体系统（MAS）的实际预定义时间一致性控制问题。所考虑的系统具有非对称时变状态约束、纯反馈结构和未知非线性项的特点，这些都给有效控制策略的设计带来了重大挑战。为了克服这些挑战，采取了一系列措施来确保系统的稳定性。首先，引入非对称时变势垒李雅普诺夫函数（TVBLF）来解决系统约束问题。此外，利用模糊逻辑系统（FLS）来估计系统的不确定性。为了达到预期的目标，提出了一种PPT共识控制方法，允许在均值意义上任意调整沉降时间。Lyapunov稳定性分析表明，所提出的控制方法保证了PPT的稳定性，且所有信号都有界。此外，所有的随从代理都能精确地跟踪领导者的输出信号。通过两个仿真算例验证了所提策略的有效性。

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

Journal of The Franklin Institute-engineering and Applied Mathematics 工程技术-工程：电子与电气

CiteScore

7.30

自引率

14.60%

发文量

586

审稿时长

6.9 months

期刊介绍： The Journal of The Franklin Institute has an established reputation for publishing high-quality papers in the field of engineering and applied mathematics. Its current focus is on control systems, complex networks and dynamic systems, signal processing and communications and their applications. All submitted papers are peer-reviewed. The Journal will publish original research papers and research review papers of substance. Papers and special focus issues are judged upon possible lasting value, which has been and continues to be the strength of the Journal of The Franklin Institute.