Feedback control design and stability analysis of two dimensional evacuation system

Wadoo, Sabiha; Kachroo, Pushkin

doi:10.1109/itsc.2006.1707370

Cited by 14 publications

(11 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Simonovic and Ahmad [31] used the system dynamics approach to build an evacuation model for a flood emergency situation. Wadoo and Kachroo [32], [33] used the nonlinear feedback controller to represent evacuation dynamics in one and two dimensions.…”

Section: Related Workmentioning

confidence: 99%

An Integrated Road Construction and Resource Planning Approach to the Evacuation of Victims From Single Source to Multiple Destinations

Wang

Zhang

2010

IEEE Trans. Intell. Transport. Syst.

View full text Add to dashboard Cite

This paper presents our study on the emergency resource-planning problem, particularly on the development of a new approach to resource planning through contraflow techniques with consideration of the repair of damaged infrastructures. The contraflow technique is aimed at reversing traffic flows in one or more inbound lanes of a divided highway for the outbound direction. As opposed to the current literature, our approach has the following salient points: 1) simultaneous consideration of contraflow and repair of repair of roads; 2) classification of victims in terms of their problems and urgency in sending them to a safe place or place to be treated; and 3) consideration of multiple destinations for victims. A simulated experiment is also described by comparing our approach with some variations of our approach. The experimental results show that our approach can lead to a reduction in evacuation time by more than 50%, as opposed to the original resource operation on the damaged transportation network, and by about 20%, as opposed to the approach with resource replanning (only) on the damaged network. In addition, the multiobjective optimization algorithm to solve our model can be generalized to other network resource-planning problems under infrastructure damage.

show abstract

Section: Related Workmentioning

confidence: 99%

An Integrated Road Construction and Resource Planning Approach to the Evacuation of Victims From Single Source to Multiple Destinations

Wang

Zhang

2010

IEEE Trans. Intell. Transport. Syst.

View full text Add to dashboard Cite

show abstract

“…5 for 1-D space and in [99,100] for one and 2-D spaces respectively. This preliminary work is expected to provide a sound theoretical framework for the solution of the more complex evacuation problem.…”

Section: Feedback Control and Dynamic Modelingmentioning

confidence: 99%

“…Evacuation can be classified as broadly belonging to two types: (1) Evacuation from a built up facility and (2) Evacuation from a locality. Feedback controls for evacuation have been developed based on macroscopic models in [99] for the 1-D case and in [100] for the 2-D case. This paper involves optimal evacuation of pedestrians from the building facilities.…”

Section: Discretized Optimal Controlmentioning

confidence: 99%

Pedestrian Dynamics

2008

Understanding Complex Systems

View full text Add to dashboard Cite

Complexity is an interdisciplinary program publishing the best research and academic-level teaching on both fundamental and applied aspects of complex systems -cutting across all traditional disciplines of the natural and life sciences, engineering, economics, medicine, neuroscience, social and computer science.Complex Systems are systems that comprise many interacting parts with the ability to generate a new quality of macroscopic collective behavior the manifestations of which are the spontaneous formation of distinctive temporal, spatial or functional structures. Models of such systems can be successfully mapped onto quite diverse "real-life" situations like the climate, the coherent emission of light from lasers, chemical reaction-diffusion systems, biological cellular networks, the dynamics of stock markets and of the internet, earthquake statistics and prediction, freeway traffic, the human brain, or the formation of opinions in social systems, to name just some of the popular applications.Although their scope and methodologies overlap somewhat, one can distinguish the following main concepts and tools: self-organization, nonlinear dynamics, synergetics, turbulence, dynamical systems, catastrophes, instabilities, stochastic processes, chaos, graphs and networks, cellular automata, adaptive systems, genetic algorithms and computational intelligence.The two major book publication platforms of the Springer Complexity program are the monograph series "Understanding Complex Systems" focusing on the various applications of complexity, and the "Springer Series in Synergetics", which is devoted to the quantitative theoretical and methodological foundations. In addition to the books in these two core series, the program also incorporates individual titles ranging from textbooks to major reference works. Future scientific and technological developments in many fields will necessarily depend upon coming to grips with complex systems. Such systems are complex in both their composition -typically many different kinds of components interacting simultaneously and nonlinearly with each other and their environments on multiple levels -and in the rich diversity of behavior of which they are capable. Editorial and Programme Advisory BoardThe Springer Series in Understanding Complex Systems series (UCS) promotes new strategies and paradigms for understanding and realizing applications of complex systems research in a wide variety of fields and endeavors. UCS is explicitly transdisciplinary. It has three main goals: First, to elaborate the concepts, methods and tools of complex systems at all levels of description and in all scientific fields, especially newly emerging areas within the life, social, behavioral, economic, neuroand cognitive sciences (and derivatives thereof); second, to encourage novel applications of these ideas in various fields of engineering and computation such as robotics, nano-technology and informatics; third, to provide a single forum within which commonalities and differences in the workings of comple...

show abstract

“…In this paper latter approach is used. Here we extend the feedback control design done in [11]. The evacuation model is presented in a partial differential equation framework.…”

Section: Feedback Control Of Macroscopic Crowd Dynamic Modelsmentioning

confidence: 99%

“…In this section we design feed back controllers for the two-equation models of the evacuation system using backstepping approach adopted in [11]. The approach is similar in principle to feedback control by backstepping for ordinary differential equations [17].…”

Section: Feedback Control Designmentioning

confidence: 99%

Feedback control of macroscopic crowd dynamic models

Wadoo

Al-nasur

Kachroo

2008

2008 American Control Conference

View full text Add to dashboard Cite

This paper presents design of nonlinear feedback controllers for two different macroscopic models for twodimensional pedestrian dynamics. The models presented here are based on the laws of conservation of mass and momentum. These models have been developed by extending one-dimension macroscopic vehicle traffic flow models that use two-coupled partial deferential equations (PDEs). These models modify the vehicle traffic models so that bi-directional controlled flow is possible. Both models satisfy the conservation principle and are classified as nonlinear, time-dependent, hyperbolic PDE systems. The equations of motion in both cases are described by nonlinear partial differential equations. We address the feedback control problem for both models in the framework of partial differential equations. The objective is to synthesize nonlinear distributed feedback controllers that guarantee stability of a closed loop system.

show abstract

Feedback control design and stability analysis of two dimensional evacuation system

Cited by 14 publications

References 8 publications

An Integrated Road Construction and Resource Planning Approach to the Evacuation of Victims From Single Source to Multiple Destinations

An Integrated Road Construction and Resource Planning Approach to the Evacuation of Victims From Single Source to Multiple Destinations

Pedestrian Dynamics

Feedback control of macroscopic crowd dynamic models

Contact Info

Product

Resources

About