Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Shaping up crowd of agents through controlling their statistical moments
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0001-7309-8086
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Optimization and Systems Theory.ORCID iD: 0000-0003-0177-1993
2015 (English)In: 2015 European Control Conference, ECC 2015, Institute of Electrical and Electronics Engineers (IEEE), 2015, 1017-1022 p.Conference paper, Published paper (Refereed)
Resource type
Text
Abstract [en]

In a crowd model based on leader-follower interactions, where positions of the leaders are viewed as the control input, up-to-date solutions rely on knowledge of the agents' coordinates. In practice, it is more realistic to exploit knowledge of statistical properties of the group of agents, rather than their exact positions. In order to shape the crowd, we study thus the problem of controlling the moments instead, since it is well known that shape can be determined by moments. An optimal control for the moments tracking problem is obtained by solving a modified Hamilton-Jacobi-Bellman (HJB) equation, which only uses the moments and leaders' states as feedback. The optimal solution can be solved fast enough for on-line implementations.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2015. 1017-1022 p.
Keyword [en]
Crowd modeling, Hamilton-Jacobi-Bellman equations, Leader-follower, Optimal controls, Optimal solutions, Statistical moments, Statistical properties, Tracking problem, Control
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-186825DOI: 10.1109/ECC.2015.7330674Scopus ID: 2-s2.0-84963863749ISBN: 9783952426937 (print)OAI: oai:DiVA.org:kth-186825DiVA: diva2:938167
Conference
European Control Conference, ECC 2015, 15 July 2015 through 17 July 2015
Note

QC 20160616

Available from: 2016-06-16 Created: 2016-05-13 Last updated: 2016-06-16Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopusConference website

Search in DiVA

By author/editor
Yang, YuechengDimarogonas, DimosHu, Xiaoming
By organisation
Optimization and Systems TheoryAutomatic Control
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

Altmetric score

Total: 9 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf