Reduced-order interval observer-based coordination control for discrete-time multi-agent systems

IF 5.9 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS Automatica Pub Date : 2025-04-01 Epub Date: 2025-01-24 DOI:10.1016/j.automatica.2025.112131

Housheng Su, Miaohong Luo, Zhigang Zeng

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Abstract

In this paper, the coordination control problem of discrete-time multi-agent systems (MASs) with uncertainties is studied by the output feedback technique, where the uncertainties are unknown disturbances and initial states. Firstly, a reduced-order neighborhood framer is constructed by using the boundary information of uncertainties. Secondly, a control protocol that depends on the absolute information of the agent framer is proposed by solving a modified algebraic Riccati equation. The results demonstrate that the control protocol can render a reduced-order neighborhood framer as a reduced-order neighborhood interval observer, which can not only realize the interval-valued estimation on the sum of the relative states between each agent and its neighbors in real time, but also realize the cooperative behavior of MASs under some sufficient conditions involving network synchronization and the instability degree of the agent. In addition, direct and indirect methods are proposed to eliminate the nonnegative constraint. Finally, the theoretical results are verified by two numerical simulations.

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离散多智能体系统的降阶区间观测器协调控制

本文利用输出反馈技术研究了具有不确定性的离散多智能体系统（MASs）的协调控制问题，其中不确定性为未知扰动和初始状态。首先，利用不确定性的边界信息构造降阶邻域框架；其次，通过求解改进的代数Riccati方程，提出了一种依赖于agent框架绝对信息的控制协议；结果表明，该控制协议可以将降阶邻域帧器作为降阶邻域区间观测器，不仅可以实时实现对各智能体与其邻居间相对状态和的区间值估计，而且还可以在涉及网络同步和智能体不稳定程度的充分条件下实现MASs的合作行为。此外，还提出了直接法和间接法来消除非负约束。最后，通过两个数值模拟验证了理论结果。

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.