Consensus of multi-agent system with reaction-diffusion terms and time delays via output-feedback adaptive boundary control

IF 3.9 4区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

International Journal of Adaptive Control and Signal Processing Pub Date : 2024-07-29 DOI:10.1002/acs.3879

Xinglong Wan, Xu Yan, Zhenxing Li, Jianlong Qiu, Chengdong Yang

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引用次数: 0

Abstract

Multi-agent systems (MASs) are widely used in many necessary fields such as cybersecurity, precision agriculture, satellites, and smart grids. In many practical processes, a proportion of states cannot be obtained directly. Therefore, it is desired to design an observer. This article explores the utilization of output-feedback adaptive control techniques to achieve consensus in MASs based on partial differential equations (PDEs) with reaction-diffusion terms and time delays. First, in dealing with time-invariant delays, an observer according to the Luenberger method is proposed to assess the state of agents. Convergence conditions of the estimated states are obtained by employing Lyapunov functions and Wirtinger inequality. Using the obtained estimated states, a boundary adaptive control strategy is proposed to make the error system consensus. The merit of this control method lies in the fact that communication between agents only occurs at the spatial boundary position, not throughout the entire spatial domain, and the parameters of the system can be constantly changed. Consensus criteria of MASs with time-invariant delays are obtained by using the output-feedback adaptive control, and the results are further generalized to the model with time-varying delays. Lastly, two experimental scenarios are provided to show the practicality of the proposed theories.

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通过输出反馈自适应边界控制实现具有反应扩散项和时间延迟的多代理系统的共识

摘要多代理系统（MAS）广泛应用于网络安全、精准农业、卫星和智能电网等许多必要领域。在许多实际过程中，无法直接获得一定比例的状态。因此，人们希望设计一种观测器。本文探讨了如何利用输出反馈自适应控制技术，在基于具有反应扩散项和时间延迟的偏微分方程（PDE）的 MAS 中达成共识。首先，在处理时变延迟时，根据卢恩贝格尔方法提出了一种观测器来评估代理的状态。通过使用 Lyapunov 函数和 Wirtinger 不等式，获得了估计状态的收敛条件。利用获得的估计状态，提出了一种边界自适应控制策略，以使误差系统达成一致。这种控制方法的优点在于，代理之间的通信只发生在空间边界位置，而不是整个空间域，而且系统参数可以不断变化。通过使用输出反馈自适应控制，获得了具有时变延迟的 MAS 的共识准则，并将结果进一步推广到具有时变延迟的模型中。最后，还提供了两个实验场景来说明所提理论的实用性。

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

International Journal of Adaptive Control and Signal Processing 工程技术-工程：电子与电气

CiteScore

5.30

自引率

16.10%

发文量

163

审稿时长

5 months

期刊介绍： The International Journal of Adaptive Control and Signal Processing is concerned with the design, synthesis and application of estimators or controllers where adaptive features are needed to cope with uncertainties.Papers on signal processing should also have some relevance to adaptive systems. The journal focus is on model based control design approaches rather than heuristic or rule based control design methods. All papers will be expected to include significant novel material. Both the theory and application of adaptive systems and system identification are areas of interest. Papers on applications can include problems in the implementation of algorithms for real time signal processing and control. The stability, convergence, robustness and numerical aspects of adaptive algorithms are also suitable topics. The related subjects of controller tuning, filtering, networks and switching theory are also of interest. Principal areas to be addressed include: Auto-Tuning, Self-Tuning and Model Reference Adaptive Controllers Nonlinear, Robust and Intelligent Adaptive Controllers Linear and Nonlinear Multivariable System Identification and Estimation Identification of Linear Parameter Varying, Distributed and Hybrid Systems Multiple Model Adaptive Control Adaptive Signal processing Theory and Algorithms Adaptation in Multi-Agent Systems Condition Monitoring Systems Fault Detection and Isolation Methods Fault Detection and Isolation Methods Fault-Tolerant Control (system supervision and diagnosis) Learning Systems and Adaptive Modelling Real Time Algorithms for Adaptive Signal Processing and Control Adaptive Signal Processing and Control Applications Adaptive Cloud Architectures and Networking Adaptive Mechanisms for Internet of Things Adaptive Sliding Mode Control.