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1. INTRODUCTION

1.1 Some Basic Notions
(Definitions; Control-loop elements; Mathematical models; Open-loop vs. closed-loop control)

1.2 The Regulation Problem
(Set values; Performance criteria; Control types)

1.3 Optimal Control Strategies
(Problem formulation; Solution alternatives; Hierarchical structures; Rolling horizon)

1.4 Optimisation Theory
(Classification of problems; Application areas)

1.5 Heuristics
(Structural heuristics; Surveillance and emergency; Specifications)

1.6 Automatic Control Application Procedures
(Short history; Control design and implementation phases)

1.7 Overview of Comparable Domains
(Water, gas, sewer, electricity, communications, road traffic, air, maritime, rail networks: Common features and particularities)

2. TRAFFIC FLOW MODELING

2.1 Microscopic Models
(Car-following equation; Stability of a string of vehicles; Lane changing models; Microscopic simulation tools)

2.2 Macroscopic Models
(Definitions; Speed-flow relationship and Fundamental Diagram; Conservation equation; Kinematic waves and shock waves; Drivers’ anticipation; Second-order models; Model limitations; Modeling of on-ramp flow; Modeling of incidents; Testing control strategies via simulation; Fuel consumption models)

2.3 Model Validation
(Basic validation procedure; Case studies)

2.4 Critical Discussion
(General remarks on modeling; Qualitative and quantitative model features; Discretisation; Comparative evaluation; Future research needs; Macroscopic versus microscopic modeling)

3. MODELING OF TRAFFIC NETWORKS

3.1 Fixed-Routing Modeling
(Macroscopic node interfaces; Turning rates; Urban junction modeling; Platoon dispersion; Saturation flow)

3.2 Traffic Assignment: Basic Notions
(User and system optimality; Braess paradox; Stochastic traffic assignment; Day-to-day dynamics; Limitations)

3.3 Dynamic Traffic Assignment
(Time-dependent travel times; Microscopic, mesoscopic, and macroscopic dynamic traffic assignment; Splitting rates; Instantaneous and experienced travel time; Feedback and iterative algorithms)

3.4 Dynamic Network Models
(METANET/METACOR, CONTRAM/MCONTRM, INTEGRATION, DYNAMIT)

4. MEASUREMENTS AND ESTIMATION

4.1 Measurement Devices and Data Processing
(Loop detectors; Traffic occupancy; Space mean speed and time mean speed; Data processing for single and multiple loops; Ultrasonic detectors; Video sensors; Video image processing; Average travel time; Floating car surveys)

4.2 Estimation of Traffic Variables
(State estimation for a single section; State estimation for multisection freeway links; Extended Kalman Filter application)

4.3 Automatic Incident Detection
(Definitions, context, and impact; Performance criteria; Loop-based AID; Classification of methods; California algorithm; Exponential Smoothing; Neural Networks; Optimal calibration; The DAISI tool for AID; Video sensor based AID)

4.4 Origin-Destination Matrix Estimation
(Problem statement; Static O-D estimation; Dynamic O-D estimation; Kalman Filter application)

5. FREEWAY TRAFFIC CONTROL

5.1 Introduction
(Control measures; Basic problems)

5.2 Ramp Metering
(Why ramp metering; Implementation issues; Fixed-time ramp metering using Linear and Quadratic Programming; Local ramp metering strategies; ALINEA; Coordinated feedback ramp metering using LQ-control; METALINE; Simulation results; Field results from Paris, Amsterdam, Glasgow; Corridor impact of ramp metering; Nonlinear optimal ramp metering and applications)

5.3 Lane Control
(Variable speed limitation; Warning messages; Reversable flow; Impact on traffic flow; Implementation examples)

5.4 Route Information and Guidance
(General introduction and examples; Proposed approaches; Iterative, optimal control, and feedback (P, PI, LQI) approaches; Simulation examples)

5.5 Case Studies
(The Aalborg VMS information and guidance system; The interurban Scottish highway network system of VMS for drivers information and guidance; Goals, characteristics, control strategy design, simulation tests, implementation and impact for both systems)

5.6 Integrated Freeway Network Traffic Control
(Optimal integrated freeway network control; AMOC; Simulation examples)

6. ROAD TRAFFIC CONTROL

6.1 Introduction
(Basic definitions; Stages, split, cycle, and offset; Classification of control strategies)

6.2 Isolated Intersection Control
(Fixed-time strategies; SIGSET and SIGCAP; Phase-based approach; Application examples; Real-time strategies; Vehicle-interval method; Volume-density method; MOVA)

6.3 Fixed-Time Coordinated Control
(MAXBAND: Details of problem formulation and solution, extension to networks, examples, recent extensions; MULTIBAND; TRANSYT: Problem description, model, and optimisation approach; Signal control and traffic assignment)

6.4 Coordinated Real-Time Strategies
(SCOOT, OPAC; PRODYN, COP, CRONOS; Store-and-forward based approaches: Linear Programming, Quadratic Programming, LQ-regulation; TUC)

6.5 Parking Control Systems
(Design principles and examples)

6.6 Integrated Urban-Freeway Traffic Control
(Aims; Basic methodological approaches)

6.7 A Case Study
(Glasgow implementation and field evaluation of IN-TUC)

APPENDIX A: KALMAN FILTER

A1. The Kalman Filter for Linear Systems
(Problem formulation; Filtering and one-step prediction; Recursive solution)

A2. Extended Kalman Filter
(Nonlinear problem and suboptimal solution)

APPENDIX B: LINEAR-QUADRATIC OPTIMAL CONTROL

B1. Problem Formulation
(Linearisation; Problem Formulation)

B2. LQ and LQI Regulators
(LQ-regulator; Problem augmentation for LQI control)

B3. The Impact of Constant Disturbances
(Constant disturbances; Steady-state error)

APPENDIX C: NONLINEAR OPTIMAL CONTROL

C1. Problem Formulation and Necessary Conditions

C2. Feasible Direction Algorithm
(Reduced and constrained gradients; Algorithmic steps; Descent directions)