Analysis and synthesis of interconnected positive systems with external inputs

Yoshio Ebihara, Taiki Matsumura, Tomomichi Hagiwara, Dimitri Peaucelle, Denis Arzelier

Research output: Contribution to journalConference article

4 Citations (Scopus)

Abstract

In this paper, we deal with an interconnected system constructed from positive subsystems and a nonnegative interconnection matrix. In particular, motivated by leader-follower-type formation control of multi-agent systems, we concentrate our attention on the case where external inputs are applied to the interconnected system. By analyzing the steady-state output of the interconnected system with respect to step and ramp inputs, respectively, we derive synthesis conditions on the interconnection matrix to achieve formation-control-oriented design objectives. We finally illustrate the usefulness of theoretical results via numerical simulation on time-head way control of vehicle platoons.

Original languageEnglish
Pages (from-to)161-166
Number of pages6
JournalIFAC-PapersOnLine
Volume28
Issue number14
DOIs
Publication statusPublished - Jul 1 2015
Event8th IFAC Symposium on Robust Control Design, ROCOND 2015 - Bratislava, Slovakia
Duration: Jul 8 2015Jul 11 2015

Fingerprint

Large scale systems
Multi agent systems
Computer simulation

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

Cite this

Analysis and synthesis of interconnected positive systems with external inputs. / Ebihara, Yoshio; Matsumura, Taiki; Hagiwara, Tomomichi; Peaucelle, Dimitri; Arzelier, Denis.

In: IFAC-PapersOnLine, Vol. 28, No. 14, 01.07.2015, p. 161-166.

Research output: Contribution to journalConference article

Ebihara, Yoshio ; Matsumura, Taiki ; Hagiwara, Tomomichi ; Peaucelle, Dimitri ; Arzelier, Denis. / Analysis and synthesis of interconnected positive systems with external inputs. In: IFAC-PapersOnLine. 2015 ; Vol. 28, No. 14. pp. 161-166.
@article{565dd379b6f845a99a4e979d387c45e1,
title = "Analysis and synthesis of interconnected positive systems with external inputs",
abstract = "In this paper, we deal with an interconnected system constructed from positive subsystems and a nonnegative interconnection matrix. In particular, motivated by leader-follower-type formation control of multi-agent systems, we concentrate our attention on the case where external inputs are applied to the interconnected system. By analyzing the steady-state output of the interconnected system with respect to step and ramp inputs, respectively, we derive synthesis conditions on the interconnection matrix to achieve formation-control-oriented design objectives. We finally illustrate the usefulness of theoretical results via numerical simulation on time-head way control of vehicle platoons.",
author = "Yoshio Ebihara and Taiki Matsumura and Tomomichi Hagiwara and Dimitri Peaucelle and Denis Arzelier",
year = "2015",
month = "7",
day = "1",
doi = "10.1016/j.ifacol.2015.09.451",
language = "English",
volume = "28",
pages = "161--166",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "IFAC Secretariat",
number = "14",

}

TY - JOUR

T1 - Analysis and synthesis of interconnected positive systems with external inputs

AU - Ebihara, Yoshio

AU - Matsumura, Taiki

AU - Hagiwara, Tomomichi

AU - Peaucelle, Dimitri

AU - Arzelier, Denis

PY - 2015/7/1

Y1 - 2015/7/1

N2 - In this paper, we deal with an interconnected system constructed from positive subsystems and a nonnegative interconnection matrix. In particular, motivated by leader-follower-type formation control of multi-agent systems, we concentrate our attention on the case where external inputs are applied to the interconnected system. By analyzing the steady-state output of the interconnected system with respect to step and ramp inputs, respectively, we derive synthesis conditions on the interconnection matrix to achieve formation-control-oriented design objectives. We finally illustrate the usefulness of theoretical results via numerical simulation on time-head way control of vehicle platoons.

AB - In this paper, we deal with an interconnected system constructed from positive subsystems and a nonnegative interconnection matrix. In particular, motivated by leader-follower-type formation control of multi-agent systems, we concentrate our attention on the case where external inputs are applied to the interconnected system. By analyzing the steady-state output of the interconnected system with respect to step and ramp inputs, respectively, we derive synthesis conditions on the interconnection matrix to achieve formation-control-oriented design objectives. We finally illustrate the usefulness of theoretical results via numerical simulation on time-head way control of vehicle platoons.

UR - http://www.scopus.com/inward/record.url?scp=84992503618&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84992503618&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.451

DO - 10.1016/j.ifacol.2015.09.451

M3 - Conference article

AN - SCOPUS:84992503618

VL - 28

SP - 161

EP - 166

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 14

ER -