H2suboptimal containment control of multi-agent systems

Yuan Gao, Junjie Jiao, Sandra Hirche

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


This paper deals with the distributed H2 suboptimal containment control problem by static state feedback for linear multi-agent systems. Given multiple autonomous leaders, a number of followers, and an H2 cost functional, we aim to design a distributed protocol that achieves containment control while the associated H2 cost is smaller than an a priori given upper bound. To that end, we first show that the H2 suboptimal containment control problem can be equivalently recast into the H2 suboptimal control problem of a set of independent systems. Based on this, a design method is provided to compute such a distributed protocol. The computation of the feedback gain involves a single Riccati inequality whose dimension is equal to the dimension of the states of the agents. The performance of the proposed protocol is illustrated by a simulation example.

Original languageEnglish
Title of host publication2023 American Control Conference, ACC 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9798350328066
StatePublished - 2023
Event2023 American Control Conference, ACC 2023 - San Diego, United States
Duration: 31 May 20232 Jun 2023

Publication series

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


Conference2023 American Control Conference, ACC 2023
Country/TerritoryUnited States
CitySan Diego


Dive into the research topics of 'H2suboptimal containment control of multi-agent systems'. Together they form a unique fingerprint.

Cite this