Overview
- First book on pedestrian dynamics and crowd evacuation
- Presents a new approach to model the evacuation system based on partial differential equations
- Design of feedback control in both PDE and ODE setting in a single book
- Includes supplementary material: sn.pub/extras
Part of the book series: Understanding Complex Systems (UCS)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (11 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“The book is intended for researchers, engineers, and graduate students in applied complexity and nonlinear dynamics as well as in pedestrian dynamics.” (IEEE Control Systems Magazine, Vol. 29, October, 2009)
“This book is dedicated the developing pedestrian dynamic models that can be used in the control and investigation of crowd behavior. … This book is very interesting. It considered actual theme about evacuation strategy. The theory bases on the analogy with air dynamical processes and uses modern mathematical methods, as Lyapunov’s theory for estimation stability of control processes. This book may be very useful for scientists, post graduate students who work in area of control strategy evacuation.” (Yuri N. Sankin, Zentralblatt MATH, Vol. 1237, 2012)
Editors and Affiliations
Bibliographic Information
Book Title: Pedestrian Dynamics
Book Subtitle: Feedback Control of Crowd Evacuation
Editors: Pushkin P.E. Kachroo, Sabiha Amin Wadoo, Sadeq J. Al-nasur, Apoorva Shende
Series Title: Understanding Complex Systems
DOI: https://doi.org/10.1007/978-3-540-75561-6
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Hardcover ISBN: 978-3-540-75559-3Published: 29 January 2008
Softcover ISBN: 978-3-642-09478-1Published: 16 November 2010
eBook ISBN: 978-3-540-75561-6Published: 24 January 2008
Series ISSN: 1860-0832
Series E-ISSN: 1860-0840
Edition Number: 1
Number of Pages: XIV, 246
Topics: Vibration, Dynamical Systems, Control, Complex Systems, Control, Robotics, Mechatronics, Game Theory, Economics, Social and Behav. Sciences, Thermodynamics, Statistical Physics and Dynamical Systems