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Pedestrian Dynamics

Feedback Control of Crowd Evacuation

  • Pushkin P.E. Kachroo
  • Sabiha Amin Wadoo
  • Sadeq J. Al-nasur
  • Apoorva Shende

Part of the Understanding Complex Systems book series (UCS)

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 1-4
  3. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 5-31
  4. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 33-59
  5. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 61-93
  6. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 95-106
  7. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 107-120
  8. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 121-139
  9. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 141-159
  10. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 161-187
  11. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 189-207
  12. Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
    Pages 209-231
  13. Back Matter
    Pages 233-245

About this book

Introduction

Effective evacuation of people from closed spaces is an extremely important topic, since it can save real lives in emergency situations that can be brought about by natural and human made disasters. Usually there are static maps posted at various places at buildings that illustrate routes that should be taken during emergencies. However, when disasters happen, some of these routes might not be valid because of structural problems due to the disaster itself and more importantly because of the distribution of congestion of people spread over the area. The average flow of traffic depends on the traffic density. Therefore, if all the people follow the same route, or follow a route without knowing the congestion situation, they can end up being part of the congestion which results in very low flow rate or worse a traffic jam. Hence it becomes extremely important to design evacuations that inform people how fast and in which direction to move based on real-time information obtained about the people distribution using various sensors. The sensors used can include cameras, infra red sensors etc., and the technology used to inform people about the desired movement can be communicated using light matrix, small speakers, and in the future using wireless PDAs. This book provides mathematical models of pedestrian movements that can be used specifically for designing feedback control laws for effective evacuation. The book also provides various feedback control laws to accomplish the effective evacuation. The book uses the hydrodynamic hyperbolic PDE macroscopic pedestrian models since they are amenable to feedback control design. The control designs are obtained through different nonlinear techniques including Lyapunov functional techniques, feedback linearization in the distributed model, and some discretized techniques.

Keywords

Control of Hyperbolic PDEs Crowd Evacuation Models Distributed Feedback Evacuation Feedback Control Peak Pedestrian Dynamics Sensor Springer Complexity

Editors and affiliations

  • Pushkin P.E. Kachroo
    • 1
  • Sabiha Amin Wadoo
    • 2
  • Sadeq J. Al-nasur
    • 3
  • Apoorva Shende
    • 4
  1. 1.Department of Electrical and Computer EngineeringUniversity of Nevada4505 S. Maryland PkwyUSA
  2. 2.Department of Electrical&Computer EngineeringNew York Institute of TechnologyNorthern Blvd,Old WestburyUSA
  3. 3.Department of Electrical EngineeringKuwait UniversitySafat13060 Kuwait
  4. 4.Bradley Dept. of Electrical 8 Computer EngineeringVirginia TechBlacksburgU.S.A.

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-75561-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-540-75559-3
  • Online ISBN 978-3-540-75561-6
  • Series Print ISSN 1860-0832
  • Buy this book on publisher's site