Scaling in bidirectional platoons with dynamic controllers and proportional asymmetry

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F17%3A00303993" target="_blank" >RIV/68407700:21230/17:00303993 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1109/TAC.2016.2594169" target="_blank" >http://dx.doi.org/10.1109/TAC.2016.2594169</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TAC.2016.2594169" target="_blank" >10.1109/TAC.2016.2594169</a>

Result language

angličtina

Original language name

Scaling in bidirectional platoons with dynamic controllers and proportional asymmetry

Original language description

We consider platoons composed of identical vehicles with an asymmetric nearest-neighbor interaction. We restrict ourselves to intervehicular coupling realized with dynamic arbitrary-order onboard controllers such that the coupling to the immediately preceding vehicle is proportional to the coupling to the immediately following vehicle. Each vehicle is modeled using a transfer function and we impose no restriction on the order of the vehicle. The only requirement on the controller and vehicle model is that the platoon is stable for any number of vehicles. The platoon is described by a transfer function in a convenient product form. We investigate how the H-infinity norm and the steady-state gain of the platoon scale with the number of vehicles. We conclude that if the open-loop transfer function of the vehicle contains two or more integrators and the second smallest eigenvalue of the graph Laplacian is uniformly bounded from below, the norm scales exponentially with the growing distance in the graph. If there is just one integrator in the open loop, we give a condition under which the norm of the transfer function is bounded by its steady-state gain-the platoon is string-stable. Moreover, we argue that in this case it is always possible to design a controller for the extreme asymmetry-the predecessor following strategy.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20205 - Automation and control systems

Project

<a href="/en/project/GA16-19526S" target="_blank" >GA16-19526S: Semidefinite programming certification of control laws for emerging transportation projects</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

IEEE Transactions on Automatic Control

ISSN

0018-9286

e-ISSN

1558-2523

Volume of the periodical

62

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

7

Pages from-to

2034-2040

UT code for WoS article

000399033000043

EID of the result in the Scopus database

2-s2.0-85018193186