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
N1 - Funding Information:
Acknowledgements: This work was supported by JSPS KAKENHI Grant Number 25420436.
Publisher Copyright:
© 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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
SN - 2405-8963
VL - 28
SP - 161
EP - 166
JO - IFAC-PapersOnLine
JF - IFAC-PapersOnLine
IS - 14
T2 - 8th IFAC Symposium on Robust Control Design, ROCOND 2015
Y2 - 8 July 2015 through 11 July 2015
ER -