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  • 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. (en)
Title
  • Harmonic instability of asymmetric bidirectional control of a vehicular platoon
  • Harmonic instability of asymmetric bidirectional control of a vehicular platoon (en)
skos:prefLabel
  • Harmonic instability of asymmetric bidirectional control of a vehicular platoon
  • Harmonic instability of asymmetric bidirectional control of a vehicular platoon (en)
skos:notation
  • RIV/68407700:21230/14:00220925!RIV15-GA0-21230___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA13-06894S), P(GAP103/12/1794)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 18791
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21230/14:00220925
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Vehicular platoons; harmonic instability; scalability; lower bound for eigenvalues; symmetric control; asymmetric control; distributed control (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [400165DEEA13]
http://linked.open...v/mistoKonaniAkce
  • Portland
http://linked.open...i/riv/mistoVydani
  • Piscataway
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the 2014 American Control Conference
http://linked.open...in/vavai/riv/obor
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http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Hurák, Zdeněk
  • Šebek, Michael
  • Martinec, Dan
  • Herman, Ivo
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
issn
  • 0743-1619
number of pages
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  • IEEE
https://schema.org/isbn
  • 978-1-4799-3272-6
http://localhost/t...ganizacniJednotka
  • 21230
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