Controllability of Networks with Multivariable Agents

Bo Ouyang, Siddharth Pati, Cong Wang, Lu Lu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We study the controllability problem of multiagent networks in which each agent has multiple state variables. In many applications such as robot swarms and smart grids, a nontrivial number of variables is needed to fully describe the status of an agent, making analysis of the whole network difficult. Due to limitations of communication bandwidth, computing power, and energy consumption, it is desirable to secure controllability of a network using the minimum number of drivers. For systems with single-variable agents, this problem can be solved efficiently by finding the minimum number of externally controlled state variables. For systems with multivariable agents, a driver is an externally controlled agent with possibly multiple state variables, and such a method does not guarantee finding the minimum number of drivers. To our best knowledge, there has not been a general efficient method to determine the minimum (agent-) drivers for networks with multivariable agents. In this paper, we introduce a method to solve this problem by transforming it into a standard 0-1 linear programming problem. A systematic derivation and proof of the transformation is presented. Accuracy of the proposed method is numerically validated against the solution from a brute-force method.

Original languageEnglish (US)
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4918-4924
Number of pages7
ISBN (Print)9781538654286
DOIs
StatePublished - Aug 9 2018
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: Jun 27 2018Jun 29 2018

Publication series

NameProceedings of the American Control Conference
Volume2018-June
ISSN (Print)0743-1619

Other

Other2018 Annual American Control Conference, ACC 2018
Country/TerritoryUnited States
CityMilwauke
Period6/27/186/29/18

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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