Optimization of multiagent systems with increasing state dimensions: Hybrid LQ approach

R. Galván-Guerra, V. Azhmyakov, M. Egerstedt

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

13 Scopus citations

Abstract

In this paper, we study a specific optimal control problem associated with a multiagent dynamic system. The interest is placed on minimization of the tracking error in the multiagent leader-follower model. We replace this problem by a specific hybrid optimal control problem. In particular, we consider control systems with monotonically increasing dimensions of the state vector. The change of the state dimension has the character of a jump and is modeled by an impulsive hybrid system. The paper proposes an effective computational procedure for the above optimal tracking control problem in a multiagent setting. The theoretical and numerical approaches obtained in this contribution are tested on a practically motivated example.

Original languageEnglish
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages881-887
Number of pages7
ISBN (Print)9781457700804
DOIs
StatePublished - 2011
Externally publishedYes

Publication series

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

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