A New Framework on Controllability of the Second-Order Multiagent Systems Under Fixed and Switching Topologies

IF 4 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Transactions on Control of Network Systems Pub Date : 2024-10-30 DOI:10.1109/TCNS.2024.3488562

Hao Long;Yuanchao Si

引用次数: 0

Abstract

This article presents a new framework for the controllability of the second-order multiagent systems under fixed and switching topologies. With the neighbor-based protocol adopted, the multiagent systems under fixed topology are transformed into a second-order time-invariant system. The solution of the system is obtained by using the Wronskian technique and a series of criteria for the controllability of the system are established. For the multiagent systems under switching topologies, a second-order switched system is obtained by applying the time-varying protocol. An explicit solution of the system is presented by constructing a new nested function and a Gramian-type criterion on the controllability of the system is established. On this basis, a new nested subspace is constructed, which turns out to be equivalent to the controllable state set of the system. Several examples are provided to demonstrate the effectiveness of the theoretical results.

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本文提出了固定拓扑和切换拓扑下二阶多代理系统可控性的新框架。采用基于邻居的协议，将固定拓扑下的多代理系统转化为二阶时变系统。利用 Wronskian 技术得到了该系统的解，并建立了一系列系统可控性标准。对于切换拓扑结构下的多代理系统，通过应用时变协议得到了一个二阶切换系统。通过构建新的嵌套函数，提出了系统的显式解，并建立了系统可控性的格拉米安型准则。在此基础上，构建了一个新的嵌套子空间，该子空间等同于系统的可控状态集。我们提供了几个例子来证明理论结果的有效性。

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

IEEE Transactions on Control of Network Systems Mathematics-Control and Optimization

CiteScore

7.80

自引率

7.10%

发文量

169

期刊介绍： The IEEE Transactions on Control of Network Systems is committed to the timely publication of high-impact papers at the intersection of control systems and network science. In particular, the journal addresses research on the analysis, design and implementation of networked control systems, as well as control over networks. Relevant work includes the full spectrum from basic research on control systems to the design of engineering solutions for automatic control of, and over, networks. The topics covered by this journal include: Coordinated control and estimation over networks, Control and computation over sensor networks, Control under communication constraints, Control and performance analysis issues that arise in the dynamics of networks used in application areas such as communications, computers, transportation, manufacturing, Web ranking and aggregation, social networks, biology, power systems, economics, Synchronization of activities across a controlled network, Stability analysis of controlled networks, Analysis of networks as hybrid dynamical systems.