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Full Description
The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology impacts all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new philosophies, .... , new challenges. Much of this development work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. Micro-technology and modern communications technology are revolutionising many aspects of our daily lives and so it is not surprising that it is impacting societal transportation systems whether our highways, airways, seaways or railways. The Advances in Industrial Control series reported on these developments for long haul railway systems in a monograph by Howlett and Pudney (ISBN 3-S40-19990-X, 1995). Now it is the turn of transportation in a contribution from Pushkin Kachroo and Kaan Ozbay. The authors viewpoint is that this new set of transportation problems are control problems and that control engineers should be highly active in this field. Their volume covers all the aspects of modelling, problem formulation, and applies various control methodologies to solve the control problems formulated.
Contents
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.
