A Distributed Reference Governor for High-Order LTI Swarm Systems

Tam Nguyen, Satoshi Nakano, Takeshi Hatanaka, Emanuele Garone, Masayuki Fujita

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper focuses on the constrained control of high-order linear-time invariant (LTI) swarm systems. In particular, the system is first locally pre-stabilized using a proportional-integral control law and the stability property of the controlled system is proved using swarm stability arguments. Then, we show that, under certain conditions, the pre-stabilized system systematically admits a candidate Lyapunov function and an associate upper-bound function which is related to the constraints. Then, we propose a set invariance-based distributed Reference Governor (RG) to modify the reference such that the trajectories of the agents do not violate the constraints at each time instant. Furthermore, we show that the performance of the proposed RG scheme can be improved using a phase-lead compensator. Numerical examples are provided to demonstrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publication2018 Annual American Control Conference, ACC 2018
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4925-4930
Number of pages6
ISBN (Print)9781538654286
DOIs
StatePublished - 2018/08/09
Event2018 Annual American Control Conference, ACC 2018 - Milwauke, United States
Duration: 2018/06/272018/06/29

Publication series

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

Conference

Conference2018 Annual American Control Conference, ACC 2018
Country/TerritoryUnited States
CityMilwauke
Period2018/06/272018/06/29

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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