Optimal coupled and decoupled perimeter control in one-region cities

Jack Haddad

doi:https://doi.org/10.1016/j.conengprac.2017.01.010

Optimal coupled and decoupled perimeter control in one-region cities

Jack Haddad

Civil and Environmental Engineering

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

Perimeter controllers, located at a regional border, can manipulate the transfer flows across the border to optimize the regional operational performance. The macroscopic fundamental diagram (MFD), that relates average flow with accumulation, is used to model the traffic flow dynamics. In this paper, two cases of perimeter control inputs are considered: coupled and decoupled control. For both cases, the explicit formulations of the optimal feedback control policies and proofs of optimality are provided for three criteria. The proofs are based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.

Original language	English
Pages (from-to)	134-148
Number of pages	15
Journal	Control Engineering Practice
Volume	61
DOIs	https://doi.org/10.1016/j.conengprac.2017.01.010
State	Published - 1 Apr 2017

Keywords

Feedback control
Krotov-Bellman conditions
Macroscopic fundamental diagram
Optimal traffic control
Traffic perimeter control

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering
Applied Mathematics

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https://doi.org/10.1016/j.conengprac.2017.01.010

Cite this

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title = "Optimal coupled and decoupled perimeter control in one-region cities",

abstract = "Perimeter controllers, located at a regional border, can manipulate the transfer flows across the border to optimize the regional operational performance. The macroscopic fundamental diagram (MFD), that relates average flow with accumulation, is used to model the traffic flow dynamics. In this paper, two cases of perimeter control inputs are considered: coupled and decoupled control. For both cases, the explicit formulations of the optimal feedback control policies and proofs of optimality are provided for three criteria. The proofs are based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.",

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N2 - Perimeter controllers, located at a regional border, can manipulate the transfer flows across the border to optimize the regional operational performance. The macroscopic fundamental diagram (MFD), that relates average flow with accumulation, is used to model the traffic flow dynamics. In this paper, two cases of perimeter control inputs are considered: coupled and decoupled control. For both cases, the explicit formulations of the optimal feedback control policies and proofs of optimality are provided for three criteria. The proofs are based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.

AB - Perimeter controllers, located at a regional border, can manipulate the transfer flows across the border to optimize the regional operational performance. The macroscopic fundamental diagram (MFD), that relates average flow with accumulation, is used to model the traffic flow dynamics. In this paper, two cases of perimeter control inputs are considered: coupled and decoupled control. For both cases, the explicit formulations of the optimal feedback control policies and proofs of optimality are provided for three criteria. The proofs are based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.

KW - Feedback control

KW - Krotov-Bellman conditions

KW - Macroscopic fundamental diagram

KW - Optimal traffic control

KW - Traffic perimeter control

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DO - https://doi.org/10.1016/j.conengprac.2017.01.010

M3 - مقالة

SN - 0967-0661

VL - 61

SP - 134

EP - 148

JO - Control Engineering Practice

JF - Control Engineering Practice

ER -

Optimal coupled and decoupled perimeter control in one-region cities

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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