Feedback Control Theory for Dynamic Traffic Assignment - Ozbay, Kaan

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Sommaire:
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.- 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.