Integral Input-to-State Stability of Traffic Flow with Variable Speed Limit

Gökhan Göksu; Mehmet Ali Silgu; Ismet Gökşad Erdaǧi; Hilmi Berk Çelikoǧlu

doi:10.1016/j.ifacol.2021.06.005

Integral Input-to-State Stability of Traffic Flow with Variable Speed Limit

Gökhan Göksu
, Mehmet Ali Silgu
, Ismet Gökşad Erdaǧi
, Hilmi Berk Çelikoǧlu

Istanbul Technical University
Bartin University

Araştırma sonucu: Dergiye katkı › Konferans makalesi › bilirkişi

9 Atıf (Scopus)

Özet

In this paper, a variable speed limit controller is proposed to ensure integral input-to-state stability of the traffic state by using saturated feedback. The ordinary differential equations model of traffic flow is used with a two-phase fundamental diagram to design the controller. A common Lyapunov function is found for both phases which ensures the integral input-to-state stability of the closed-loop system. Proposed controller is tested with numerical examples to show the robustness properties particularly bounded energy frequently bounded state and bounded energy weakly converging state which are the characterizations of the integral input-to-state stability.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	31-36
Sayfa sayısı	6
Dergi	IFAC-PapersOnLine
Hacim	54
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.ifacol.2021.06.005
Yayın durumu	Yayınlandı - 2021
Etkinlik	16th IFAC Symposium on Control in Transportation Systems CTS 2021 - Lille, France Süre: 8 Haz 2021 → 10 Haz 2021

Bibliyografik not

Publisher Copyright:
© 2021 The Authors.

Finansman

The work summarized in this paper is supported in part by The Scientific & Technological Research Council of Turkey (TÜB˙TAK) under the project with no. 120M576. The first author wants to thank Antoine Chaillet and Daniel Liberzon for the fruitful discussions on some technical aspects and results.

Finansörler	Finansör numarası
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu	120M576

BM SKH

Bu sonuç, aşağıdaki Sürdürülebilir Kalkınma Hedefine/Hedeflerine katkıda bulunur

SKH 11 Sürdürülebilir Şehirler ve Topluluklar

Belgeye Erişim

10.1016/j.ifacol.2021.06.005

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Integral Input-to-State Stability of Traffic Flow with Variable Speed Limit",

abstract = "In this paper, a variable speed limit controller is proposed to ensure integral input-to-state stability of the traffic state by using saturated feedback. The ordinary differential equations model of traffic flow is used with a two-phase fundamental diagram to design the controller. A common Lyapunov function is found for both phases which ensures the integral input-to-state stability of the closed-loop system. Proposed controller is tested with numerical examples to show the robustness properties particularly bounded energy frequently bounded state and bounded energy weakly converging state which are the characterizations of the integral input-to-state stability.",

keywords = "integral input-to-state stability, intelligent transportation systems, switched systems, variable speed limit",

author = "G{\"o}khan G{\"o}ksu and Silgu, \{Mehmet Ali\} and Erdaǧi, \{Ismet G{\"o}k{\c s}ad\} and {\c C}elikoǧlu, \{Hilmi Berk\}",

note = "Publisher Copyright: {\textcopyright} 2021 The Authors.; 16th IFAC Symposium on Control in Transportation Systems CTS 2021 ; Conference date: 08-06-2021 Through 10-06-2021",

year = "2021",

doi = "10.1016/j.ifacol.2021.06.005",

language = "English",

volume = "54",

pages = "31--36",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Integral Input-to-State Stability of Traffic Flow with Variable Speed Limit

AU - Göksu, Gökhan

AU - Silgu, Mehmet Ali

AU - Erdaǧi, Ismet Gökşad

AU - Çelikoǧlu, Hilmi Berk

PY - 2021

Y1 - 2021

N2 - In this paper, a variable speed limit controller is proposed to ensure integral input-to-state stability of the traffic state by using saturated feedback. The ordinary differential equations model of traffic flow is used with a two-phase fundamental diagram to design the controller. A common Lyapunov function is found for both phases which ensures the integral input-to-state stability of the closed-loop system. Proposed controller is tested with numerical examples to show the robustness properties particularly bounded energy frequently bounded state and bounded energy weakly converging state which are the characterizations of the integral input-to-state stability.

AB - In this paper, a variable speed limit controller is proposed to ensure integral input-to-state stability of the traffic state by using saturated feedback. The ordinary differential equations model of traffic flow is used with a two-phase fundamental diagram to design the controller. A common Lyapunov function is found for both phases which ensures the integral input-to-state stability of the closed-loop system. Proposed controller is tested with numerical examples to show the robustness properties particularly bounded energy frequently bounded state and bounded energy weakly converging state which are the characterizations of the integral input-to-state stability.

KW - integral input-to-state stability

KW - intelligent transportation systems

KW - switched systems

KW - variable speed limit

UR - https://www.scopus.com/pages/publications/85112681713

U2 - 10.1016/j.ifacol.2021.06.005

DO - 10.1016/j.ifacol.2021.06.005

M3 - Conference article

AN - SCOPUS:85112681713

SN - 2405-8963

VL - 54

SP - 31

EP - 36

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 16th IFAC Symposium on Control in Transportation Systems CTS 2021

Y2 - 8 June 2021 through 10 June 2021

ER -

Integral Input-to-State Stability of Traffic Flow with Variable Speed Limit

Özet

Bibliyografik not

Finansman

BM SKH

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap