H∞ analysis of cooperative multi-agent systems by adaptive interpolation

IF 0.7 4区 数学 Q4 MATHEMATICS, APPLIED
Zoran Tomljanović
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引用次数: 0

Abstract

We consider a projection-based model reduction approach to computing the maximal impact, one agent or a group of agents has on the cooperative system. As a criterion for measuring the agent-team impact on multi-agent systems, we use the H norm, and output synchronization is taken as the underlying cooperative control scheme. We investigate a projection-based model reduction approach that allows efficient H norm calculation. The convergence of this approach depends on initial interpolation points, so we present approaches to their determination. Since the analysis of multi-agent systems is important from different perspectives, several comparisons are presented in the section on numerical experiments. A graph Laplacian matrix of an inter-agent interaction graph is a foundational element in modeling and analyzing multi-agent systems. We consider various graph topology matrices, system parameters, and excitations of different agents. Different strategies for selecting initial interpolation points are also compared with baseline approaches for calculating the H norm.

基于自适应插值的协同多智能体系统H∞分析
我们考虑了一种基于投影的模型约简方法来计算一个或一组智能体对合作系统的最大影响。我们使用H∞范数作为衡量智能体团队对多智能体系统影响的标准,并将输出同步作为底层的协同控制方案。我们研究了一种基于投影的模型约简方法,该方法允许高效的H∞范数计算。该方法的收敛性取决于初始插值点,因此我们提出了确定初始插值点的方法。由于从不同角度对多智能体系统进行分析很重要,因此在数值实验部分将进行一些比较。智能体间交互图的图拉普拉斯矩阵是多智能体系统建模和分析的基础。我们考虑了不同的图拓扑矩阵、系统参数和不同智能体的激励。不同的初始插值点选择策略也与计算H∞范数的基线方法进行了比较。
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来源期刊
Applications of Mathematics
Applications of Mathematics 数学-应用数学
CiteScore
1.50
自引率
0.00%
发文量
0
审稿时长
3.0 months
期刊介绍: Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.
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