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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F14%3A00220925%21RIV15-GA0-21230___
rdf:type
skos:Concept n19:Vysledek
dcterms:description
This paper deals with harmonic instability of asymmetric control of vehicular platoons. The considered platoons are composed of identical linear models of arbitrary order but there must be at least two integrators in the open loop. Each vehicle only responds to the movement of its immediate neighbors—the predecessor and the follower—and these two couplings are nonidentical. We show that for arbitrary asymmetry of intervehicular coupling, there is an exponential growth of the peak in the platoon’s magnitude frequency responses as the number of vehicles grows—a phenomenon called harmonic instability in the literature. Whereas it has been already shown for some particular cases that the beneficial effects of having the Laplacian eigenvalues lower-bounded by a nonzero constant come at the cost of harmonic instability, here we generalize this result to any linear controllers. This paper deals with harmonic instability of asymmetric control of vehicular platoons. The considered platoons are composed of identical linear models of arbitrary order but there must be at least two integrators in the open loop. Each vehicle only responds to the movement of its immediate neighbors—the predecessor and the follower—and these two couplings are nonidentical. We show that for arbitrary asymmetry of intervehicular coupling, there is an exponential growth of the peak in the platoon’s magnitude frequency responses as the number of vehicles grows—a phenomenon called harmonic instability in the literature. Whereas it has been already shown for some particular cases that the beneficial effects of having the Laplacian eigenvalues lower-bounded by a nonzero constant come at the cost of harmonic instability, here we generalize this result to any linear controllers.
dcterms:title
Harmonic instability of asymmetric bidirectional control of a vehicular platoon Harmonic instability of asymmetric bidirectional control of a vehicular platoon
skos:prefLabel
Harmonic instability of asymmetric bidirectional control of a vehicular platoon Harmonic instability of asymmetric bidirectional control of a vehicular platoon
skos:notation
RIV/68407700:21230/14:00220925!RIV15-GA0-21230___
n4:aktivita
n15:P
n4:aktivity
P(GA13-06894S), P(GAP103/12/1794)
n4:dodaniDat
n13:2015
n4:domaciTvurceVysledku
n10:4307526 n10:9023038 n10:6204821 n10:5208467
n4:druhVysledku
n11:D
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n21:predkladatel
n4:idSjednocenehoVysledku
18791
n4:idVysledku
RIV/68407700:21230/14:00220925
n4:jazykVysledku
n5:eng
n4:klicovaSlova
Vehicular platoons; harmonic instability; scalability; lower bound for eigenvalues; symmetric control; asymmetric control; distributed control
n4:klicoveSlovo
n6:distributed%20control n6:symmetric%20control n6:harmonic%20instability n6:lower%20bound%20for%20eigenvalues n6:Vehicular%20platoons n6:asymmetric%20control n6:scalability
n4:kontrolniKodProRIV
[400165DEEA13]
n4:mistoKonaniAkce
Portland
n4:mistoVydani
Piscataway
n4:nazevZdroje
Proceedings of the 2014 American Control Conference
n4:obor
n14:BC
n4:pocetDomacichTvurcuVysledku
4
n4:pocetTvurcuVysledku
4
n4:projekt
n9:GA13-06894S n9:GAP103%2F12%2F1794
n4:rokUplatneniVysledku
n13:2014
n4:tvurceVysledku
Šebek, Michael Hurák, Zdeněk Herman, Ivo Martinec, Dan
n4:typAkce
n20:WRD
n4:zahajeniAkce
2014-06-04+02:00
s:issn
0743-1619
s:numberOfPages
6
n16:hasPublisher
IEEE
n3:isbn
978-1-4799-3272-6
n7:organizacniJednotka
21230