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Feedback Control Theory for Dynamic Traffic Assignment

Traditionally, traffic assignment and traffic control in general have mostly been performed using optimisation techniques which do not lend themselves to real-time control. This volume presents feedback control techniques for performing traffic assignment in real-time, where traffic diversion contro...

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Bibliographic Details
Main Authors: Kachroo, Pushkin, Ozbay, Kaan (Author)
Format: eBook
Language:English
Published: London Springer London 1999, 1999
Edition:1st ed. 1999
Series:Advances in Industrial Control
Subjects:
Industrial Management
Automotive Engineering
Control And Systems Theory
Control Engineering
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 7. Sample Problem For Space and Time Discretized Dynamics: Three Alternate Routes Case Description
  • 8. Summary
  • 9. Exercises
  • 10. References
  • 4 Dynamic Traffic Routing Problem in Distributed Parameter Setting
  • Objectives
  • 1. Introduction
  • 2. System Dynamics
  • 3. Sliding Mode Control
  • 4. Chattering Reduction
  • 5. Numerical Examples
  • 6. Generalization of Chattering Reduction Results
  • 7. Control Design for DTR Problem
  • 8. Numerical Solution of Traffic PDE
  • 9. Error Analysis
  • 10. Simulation Software
  • 11. Simulation Results
  • 12. Summary
  • 13. Exercises
  • 14. References
  • 5 Dynamic Traffic Routing Problem in Distributed Parameter Setting Using Semigroup Theory
  • Objectives
  • 1. Introduction
  • 2. Mathematical Preliminaries
  • 3. System Dynamics
  • 4. Existing Work
  • 5. Summary
  • 6. Exercises
  • 7. References
  • 6 Fuzzy Feedback Control for Dynamic Traffic Routing
  • Objectives
  • 1. Introduction
  • 2. Overview of Fuzzy Logic
  • 3. Sample Problem
  • 4. Summary
  • 5. Exercises
  • 6. References
  • 7 Feedback Control for Dynamic Traffic Routing in Lumped Parameter Setting
  • Objectives
  • 1. Introduction
  • 2. System Dynamics and DTR Problem
  • 3. Feedback Linearization Technique
  • 4. Sample Problem (Two Alternate Routes with One Section Each)
  • 5. Sample Problem (Two Alternate Routes with Two Section Each)
  • 6. Solution for The One-Origin, One-Destination Case With Multiple Routes With Multiple Sections
  • 7. Simulations
  • 8. Sliding Mode Control for Point Diversion
  • 9. Summary
  • 10. Exercises
  • 8 Feedback Control for Network Level Dynamic Traffic Routing
  • Objectives
  • 1. Introduction
  • 2. System Description
  • 3. Dynamic Traffic Assignment Problem
  • 4. Sample Problem
  • 5. Summary
  • 6. Exercises
  • 7. References
  • 1 Introduction
  • Objectives
  • 1. Dynamic Traffic Routing
  • 2. Motivation
  • 3. Literature Review
  • 4. FeedBack Control
  • 5. Summary
  • 6. Exercises
  • 7. References
  • 2 Traffic Flow Theory
  • Objectives
  • 1. Introduction
  • 2. Conservation Law
  • 3. Traffic Density-Flow Relationships
  • 4 Microscopic Traffic Characteristics [17,18,19]
  • 5 Traffic Model
  • 6 Classification of PDEs[20,21,22]
  • 7 Existence of Solution [21]
  • 8 Method of Characteristics to Solve First Order PDEs [20]
  • 9. Traffic Shock Wave Propagation
  • 10. Traffic Measurements
  • 11. Summary
  • 12. Exercises
  • 13. References
  • 3 Modeling and Problem Formulation
  • Objectives
  • 1. Introduction
  • 2. System Dynamics
  • 3. Feedback Control for the Traffic as a Distributed Parameter System
  • 4. Discretized System Dynamics
  • 5. Feedback Control for the Traffic as a Lumped Parameter System
  • 6. Sample Problem for Space Discretized Dynamics

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