Abstract

This work is concerned with the decentralized control of traffic flow in highways using on-ramp metering and variable structure techniques. Both the estimation and the robust control problem are studied. Sliding mode observers are first proposed to estimate the state of neighboring highway segments in a two-highway-link model. Two independent variable structure controllers use the resulting estimates to locally stabilize the traffic flow around a desired set point, even if accurate estimation is not always possible.

1.
Goldstein
,
N.
, and
Kumar
,
K.
, 1991, “
A Decentralized Control Strategy for Freeway Regulation
,” Transportation Research Bulletin, pp.
58
64
.
2.
O.J. Chen
,
A. H.
, and
Ben-Akiva
,
M.
, 1997, “
Development and Evaluation of a Dynamic Ramp Metering Control Model
,”
The Eighth International Federation of Automatic Symposium on Transportation Systems
, pp.
58
64
.
3.
Kotsialos
,
A.
,
Papageorgiou
,
M.
,
Mangeas
,
M.
, and
Haj-Salem
,
H.
, 2002, “
Coordinated and Integrated Control of Motorway Networks Via Non-Linear Optimal Control
,”
Transp. Res., Part C: Emerg. Technol.
0968-090X,
10
, pp.
65
84
.
4.
Smaragdis
,
E.
,
Papageorgiou
,
M.
, and
Kosmatopoulos
,
E.
, 2003, “
A Flow-Maximizing Adaptive Local Ramp Metering Strategy
,”
Transp. Res., Part B: Methodol.
0191-2615,
38
, pp.
251
270
.
5.
Kuhne
,
R.
, and
Michalopoulos
,
P.
, 2002, “
Continuum Flow Models
,” Traffic Flow Theory: A State-of-the-Art Report, Federal Highway Administration, Chap. 5, pp.
1
51
.
6.
Kohan
,
R. R.
,
Becerril
,
R.
, and
Aghdam
,
A. G.
, 2004, “
Decentralized Nonlinear Traffic Control—I: Variable Structure Linearizing Control
,”
43rd Conference on Decision and Control
, pp.
5467
5473
.
7.
Alessandri
,
A.
,
Febbraro
,
A. D.
,
Ferrara
,
A.
, and
Punta
,
E.
, 1998, “
Optimal Control of Freeways Via Speed Signalling and Ramp Metering
,”
Control Eng. Pract.
0967-0661,
6
, pp.
771
780
.
8.
Wu
,
J.
, and
Chang
,
G.-L.
, 1999, “
An Integrated Optimal Control and Algorithm for Commuting Corridors
,”
Int. Trans. Oper. Res.
0969-6016,
6
, pp.
39
55
.
9.
Kachroo
,
P.
, and
Özbay
,
K.
, 1998, “
Sliding Mode for User Equilibrium Dynamic Traffic Routing Control
,”
1997 IEEE Conference on Intelligent Transportation Systems
, pp.
70
75
.
10.
Lei
,
J.
, and
Ozguner
,
U.
, 2000, “
Decentralized Hybrid Traffic Network Routing Using Optimal Sliding Modes
,”
39th Conference on Decision and Control
, pp.
2607
2608
.
11.
Zhang
,
H.
, and
Recker
,
W.
, 1999, “
On Optimal Freeway Ramp Control Policies for Congested Traffic Corridors
,”
Transp. Res., Part B: Methodol.
0191-2615,
33
, pp.
417
436
.
12.
Cremer
,
M.
, and
May
,
A. D.
, 1986, “
An Extended Traffic Flow Model for Inner Urban Freeways
,”
IFAC Control in Transportation Systems
,
Vienna, Austria
, pp.
239
244
.
13.
Kohan
,
R.
, and
Bortoff
,
S.
, 1998, “
An Observer for Highway Traffic Systems
,”
37th Conference on Decision and Control
, pp.
1012
1017
.
14.
Helbing
,
D.
, 2001, “
Traffic and Related Self-Driven Many-Particle Systems
,”
Rev. Mod. Phys.
0034-6861,
73
, pp.
1067
1141
.
15.
Castillo
,
J.
, and
Benitez
,
F.
, 1995, “
On the Functional Form of the Speed-Density Relationship—I: General Theory
,”
Transp. Res., Part B: Methodol.
0191-2615,
29B
, pp.
373
389
.
16.
Swaroop
,
D.
, and
Rajagopal
,
K.
, 1999, “
Intelligent Cruise Control Systems and Traffic Flow Stability
,”
Transp. Res., Part C: Emerg. Technol.
0968-090X,
7
(
6
), pp.
329
352
.
17.
Shrivastava
,
A.
, and
Li
,
P. Y.
, 2002, “
Traffic Flow Stability Induced by Constant Time Headway Policy for Adaptive Cruise Control Vehicles
,”
Transp. Res., Part C: Emerg. Technol.
0968-090X,
10
(
4
), pp.
275
301
.
18.
Papageorgiou
,
M.
, 1983,
Applications of Automatic Control Concepts to Traffic Flow Modeling and Control
,
Springer-Verlag
,
New York
.
19.
Vandaele
,
N.
,
Woensel
,
T. V.
, and
Verbruggen
,
A.
, 2000, “
A Queueing Based Traffic Flow Model
,”
Transp. Res. D
1361-9209,
5
(
2
), pp.
121
135
.
20.
Slotine
,
J.-J. E.
,
Hedrick
,
J.
, and
Misawa
,
E.
, 1987, “
On Sliding Observers for Nonlinear Systems
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
109
, pp.
245
252
.
21.
Castillo
,
J. D.
, and
Benitez
,
F.
, 1995, “
On the Functional Form of the Speed-Density Relationship—I: General Theory
,”
Transp. Res., Part B: Methodol.
0191-2615,
29
(
5
), pp.
373
389
.
22.
Becerril-Arreola
,
R.
, and
Aghdam
,
A.
, 2007, “
Decentralised Nonlinear Control With Disturbance Rejection for On-Ramp Metering in Highways
,”
IEE Proc.: Control Theory Appl.
1350-2379,
1
(
1
), pp.
253
262
.
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