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Boundary Control Of Freeway Traffic Congestion
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Book Synopsis Boundary Control of Freeway Traffic Congestion by : Huan Yu
Download or read book Boundary Control of Freeway Traffic Congestion written by Huan Yu and published by . This book was released on 2019 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation develops a systematic model-based approach for the boundary control and estimation of freeway traffic congestion problem. Three topics of traffic congestion on a freeway segment are studied and include stop-and-go traffic oscillations, moving traffic shockwave, and downstream traffic bottleneck, which are governed by different partial differential equation (PDE) models and require the advancement and application of three PDE control techniques. To supress stop-and-go oscillations, we introduce the macroscopic Aw-Rascle-Zhang traffic model, consisting of second-order nonlinear hyperbolic PDEs that govern dynamics of traffic density and velocity. The hetero-directional propagations of information in congested traffic generate the instabilities, motivating us to the stabilization problem for a coupled $2\times 2$ hyperbolic system. Using the backstepping method, a full-state feedback control is designed for ramp metering at outlet to actuate the outgoing traffic flow. We design boundary observer for state estimation and combine it with the full state feedback control to construct an output feedback controller. The observer design is validated with traffic field data. Under model parameter uncertainties, adaptive control design is proposed with on-line parameter estimation. Furthermore, we develop output feedback boundary control for two types of $4\times4$ nonlinear hyperbolic PDEs which arise from two-lane and two-class traffic congestion. Stabilization of two-lane traffic involves regulation of the lane-changing interactions with lane-specific varying speed limits while stabilization of two-class traffic tackles the heterogeneity of vehicles and drivers. A moving traffic shockwave, caused by changes of local road situations, segregates light traffic upstream and heavy traffic downstream. This density discontinuity travels upstream. As a result, drivers caught in the shockwave experience transitions from free to congested traffic. The interface position is governed by an ordinary differential equation (ODE) dependent on the density of the PDE states, described with Lighthill-Whitham-Richards model. For the coupled PDE-ODE system, the predictor feedback design is applied to compensate the state-dependent input delays. We design bilateral boundary controllers to drive the moving shockwave front to a desirable setpoint position, hindering the upstream propagation of the traffic congestion. Traffic on a freeway segment with capacity drop at outlet causes a downstream bottleneck. Traffic congestion forms because the traffic at the outlet overflows its capacity. Therefore the incoming flow of the segment needs to be regulated so that the outgoing traffic at the bottleneck area is discharged with its maximum flow rate. Since the traffic dynamics of the bottleneck is hard to model, we apply extremum seeking control, a model free approach for real-time optimization, to obtain the optimal input density at the inlet. The predictor feedback design is combined with the extremum seeking to compensate the delay effect of traffic state of the segment. The maximum flow rate is achieved at the bottleneck by regulating its upstream density at the inlet.
Book Synopsis Traffic Congestion Control by PDE Backstepping by : Huan Yu
Download or read book Traffic Congestion Control by PDE Backstepping written by Huan Yu and published by Springer Nature. This book was released on 2022-12-16 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the design of controllers that suppress oscillations and instabilities in congested traffic flow using PDE backstepping methods. The first part of the text is concerned with basic backstepping control of freeway traffic using the Aw-Rascle-Zhang (ARZ) second-order PDE model. It begins by illustrating a basic control problem – suppressing traffic with stop-and-go oscillations downstream of ramp metering – before turning to the more challenging case for traffic upstream of ramp metering. The authors demonstrate how to design state observers for the purpose of stabilization using output-feedback control. Experimental traffic data are then used to calibrate the ARZ model and validate the boundary observer design. Because large uncertainties may arise in traffic models, adaptive control and reinforcement learning methods are also explored in detail. Part II then extends the conventional ARZ model utilized until this point in order to address more complex traffic conditions: multi-lane traffic, multi-class traffic, networks of freeway segments, and driver use of routing apps. The final chapters demonstrate the use of the Lighthill-Whitham-Richards (LWR) first-order PDE model to regulate congestion in traffic flows and to optimize flow through a bottleneck. In order to make the text self-contained, an introduction to the PDE backstepping method for systems of coupled first-order hyperbolic PDEs is included. Traffic Congestion Control by PDE Backstepping is ideal for control theorists working on control of systems modeled by PDEs and for traffic engineers and applied scientists working on unsteady traffic flows. It will also be a valuable resource for researchers interested in boundary control of coupled systems of first-order hyperbolic PDEs.
Book Synopsis The Physics of Traffic by : Boris S. Kerner
Download or read book The Physics of Traffic written by Boris S. Kerner and published by Springer Science & Business Media. This book was released on 2004-11-19 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of ths book presents a theory developed by the author to combine the recent insight into empirical data with mathematical models in freeway traffic research based on dynamical non-linear processes.
Book Synopsis Reduction of traffic congestion, and improved operational efficiency by : United States. Federal Highway Administration
Download or read book Reduction of traffic congestion, and improved operational efficiency written by United States. Federal Highway Administration and published by . This book was released on 1973 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Freeway Traffic Management System Plan for the Milwaukee Area by :
Download or read book A Freeway Traffic Management System Plan for the Milwaukee Area written by and published by . This book was released on 1988 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Modern Traffic Flow Theory and Control by : Boris S. Kerner
Download or read book Introduction to Modern Traffic Flow Theory and Control written by Boris S. Kerner and published by Springer Science & Business Media. This book was released on 2009-09-16 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: The understanding of empirical traf?c congestion occurring on unsignalized mul- lane highways and freeways is a key for effective traf?c management, control, or- nization, and other applications of transportation engineering. However, the traf?c ?ow theories and models that dominate up to now in transportation research journals and teaching programs of most universities cannot explain either traf?c breakdown or most features of the resulting congested patterns. These theories are also the - sis of most dynamic traf?c assignment models and freeway traf?c control methods, which therefore are not consistent with features of real traf?c. For this reason, the author introduced an alternative traf?c ?ow theory called three-phase traf?c theory, which can predict and explain the empirical spatiot- poral features of traf?c breakdown and the resulting traf?c congestion. A previous book “The Physics of Traf?c” (Springer, Berlin, 2004) presented a discussion of the empirical spatiotemporal features of congested traf?c patterns and of three-phase traf?c theory as well as their engineering applications. Rather than a comprehensive analysis of empirical and theoretical results in the ?eld, the present book includes no more empirical and theoretical results than are necessary for the understanding of vehicular traf?c on unsignalized multi-lane roads. The main objectives of the book are to present an “elementary” traf?c ?ow theory and control methods as well as to show links between three-phase traf?c t- ory and earlier traf?c ?ow theories. The need for such a book follows from many commentsofcolleaguesmadeafterpublicationofthebook“ThePhysicsofTraf?c”.
Book Synopsis Feedback Control Theory for Dynamic Traffic Assignment by : Pushkin Kachroo
Download or read book Feedback Control Theory for Dynamic Traffic Assignment written by Pushkin Kachroo and published by Springer. This book was released on 2018-05-16 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a methodology for designing feedback control laws for dynamic traffic assignment (DTA) exploiting the introduction of new sensing and information-dissemination technologies to facilitate the introduction of real-time traffic management in intelligent transportation systems. Three methods of modeling the traffic system are discussed: partial differential equations representing a distributed-parameter setting; continuous-time ordinary differential equations (ODEs) representing a continuous-time lumped-parameter setting; and discreet-time ODEs representing a discrete-time lumped-parameter setting. Feedback control formulations for reaching road-user-equilibrium are presented for each setting and advantages and disadvantage of using each are addressed. The closed-loop methods described are proposed expressly to avoid the counter-productive shifting of bottlenecks from one route to another because of driver over-reaction to routing information. The second edition of Feedback Control Theory for Dynamic Traffic Assignment has been thoroughly updated with completely new chapters: a review of the DTA problem and emphasizing real-time-feedback-based problems; an up-to-date presentation of pertinent traffic-flow theory; and a treatment of the mathematical solution to the traffic dynamics. Techinques accounting for the importance of entropy are further new inclusions at various points in the text. Researchers working in traffic control will find the theoretical material presented a sound basis for further research; the continual reference to applications will help professionals working in highway administration and engineering with the increasingly important task of maintaining and smoothing traffic flow; the extensive use of end-of-chapter exercises will help the graduate student and those new to the field to extend their knowledge.
Book Synopsis Adaptive Control of Hyperbolic PDEs by : Henrik Anfinsen
Download or read book Adaptive Control of Hyperbolic PDEs written by Henrik Anfinsen and published by Springer. This book was released on 2019-02-21 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adaptive Control of Linear Hyperbolic PDEs provides a comprehensive treatment of adaptive control of linear hyperbolic systems, using the backstepping method. It develops adaptive control strategies for different combinations of measurements and actuators, as well as for a range of different combinations of parameter uncertainty. The book treats boundary control of systems of hyperbolic partial differential equations (PDEs) with uncertain parameters. The authors develop designs for single equations, as well as any number of coupled equations. The designs are accompanied by mathematical proofs, which allow the reader to gain insight into the technical challenges associated with adaptive control of hyperbolic PDEs, and to get an overview of problems that are still open for further research. Although stabilization of unstable systems by boundary control and boundary sensing are the particular focus, state-feedback designs are also presented. The book also includes simulation examples with implementational details and graphical displays, to give readers an insight into the performance of the proposed control algorithms, as well as the computational details involved. A library of MATLAB® code supplies ready-to-use implementations of the control and estimation algorithms developed in the book, allowing readers to tailor controllers for cases of their particular interest with little effort. These implementations can be used for many different applications, including pipe flows, traffic flow, electrical power lines, and more. Adaptive Control of Linear Hyperbolic PDEs is of value to researchers and practitioners in applied mathematics, engineering and physics; it contains a rich set of adaptive control designs, including mathematical proofs and simulation demonstrations. The book is also of interest to students looking to expand their knowledge of hyperbolic PDEs.
Book Synopsis Control Problems for Conservation Laws with Traffic Applications by : Alexandre Bayen
Download or read book Control Problems for Conservation Laws with Traffic Applications written by Alexandre Bayen and published by Springer Nature. This book was released on 2022-04-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conservation and balance laws on networks have been the subject of much research interest given their wide range of applications to real-world processes, particularly traffic flow. This open access monograph is the first to investigate different types of control problems for conservation laws that arise in the modeling of vehicular traffic. Four types of control problems are discussed - boundary, decentralized, distributed, and Lagrangian control - corresponding to, respectively, entrance points and tolls, traffic signals at junctions, variable speed limits, and the use of autonomy and communication. Because conservation laws are strictly connected to Hamilton-Jacobi equations, control of the latter is also considered. An appendix reviewing the general theory of initial-boundary value problems for balance laws is included, as well as an appendix illustrating the main concepts in the theory of conservation laws on networks.
Book Synopsis Freeway Traffic Management by : Donald G. Capelle
Download or read book Freeway Traffic Management written by Donald G. Capelle and published by Transportation Research Board National Research. This book was released on 1979 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: This publication results from growing concern about increasing congestion on urban freeways. It provides an overview of proven traffic control techniques for reducing congestion and improving operations that will be of interest to highway administrators, legislators, and other public officials concerned with the management and operation of freeway systems. This synthesis of past and present practices describes operational and safety problems typical to an urban freeway corridor, a range of options for dealing with these problems, and guidelines for implementing and operating freeway control systems. The report is based on previous research, actual experience from operating freeway control systems in various parts of the United States, and numerous interviews with individuals having responsibility for those systems. General guidance is provided for the planning and implementation of freeway control projects at the executive and administrative levels.
Book Synopsis Freeway Corridor Management by : Conrad L. Dudek
Download or read book Freeway Corridor Management written by Conrad L. Dudek and published by Transportation Research Board. This book was released on 1992 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This synthesis will be of interest to state and local traffic engineers, transportation planners, transit operators, law enforcement officials, public information agencies, and others responsible for the transportation elements of freeway corridors. Information is provided on the policies and procedures for freeway corridor management, and descriptions of a number of techniques and practices are presented. Traffic growth and increasing congestion on urban freeways require a comprehensive approach toward managing the complex elements of freeway operations. This report of the Transportation Research Board provides information on freeway corridor management strategies, the components of management, examples of effective applications of the strategies, and benefits of freeway corridor management. The management techniques that are discussed include freeway surveillance and control; corridor street surveillance and control; high-occupancy vehicle facilities and incentives; police enforcement and traffic control; hazardous material and other truck traffic restrictions; alternative route planning; motorist assistance patrols; motorist information techniques; and traffic management for recurrent congestion, for incidents, for special events, and for work zones.
Author :Alberto Bull Publisher :Santiago, Chile : United Nations, Economic Commission for Latin America and the Caribbean ISBN 13 : Total Pages :202 pages Book Rating :4.3/5 (555 download)
Book Synopsis Traffic Congestion by : Alberto Bull
Download or read book Traffic Congestion written by Alberto Bull and published by Santiago, Chile : United Nations, Economic Commission for Latin America and the Caribbean. This book was released on 2003 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Control Strategies in Response to Freeway Incidents: Executive summary by :
Download or read book Control Strategies in Response to Freeway Incidents: Executive summary written by and published by . This book was released on 1980 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Input-to-State Stability for PDEs by : Iasson Karafyllis
Download or read book Input-to-State Stability for PDEs written by Iasson Karafyllis and published by Springer. This book was released on 2018-06-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book lays the foundation for the study of input-to-state stability (ISS) of partial differential equations (PDEs) predominantly of two classes—parabolic and hyperbolic. This foundation consists of new PDE-specific tools. In addition to developing ISS theorems, equipped with gain estimates with respect to external disturbances, the authors develop small-gain stability theorems for systems involving PDEs. A variety of system combinations are considered: PDEs (of either class) with static maps; PDEs (again, of either class) with ODEs; PDEs of the same class (parabolic with parabolic and hyperbolic with hyperbolic); and feedback loops of PDEs of different classes (parabolic with hyperbolic). In addition to stability results (including ISS), the text develops existence and uniqueness theory for all systems that are considered. Many of these results answer for the first time the existence and uniqueness problems for many problems that have dominated the PDE control literature of the last two decades, including—for PDEs that include non-local terms—backstepping control designs which result in non-local boundary conditions. Input-to-State Stability for PDEs will interest applied mathematicians and control specialists researching PDEs either as graduate students or full-time academics. It also contains a large number of applications that are at the core of many scientific disciplines and so will be of importance for researchers in physics, engineering, biology, social systems and others.
Book Synopsis Traffic Flow Dynamics by : Martin Treiber
Download or read book Traffic Flow Dynamics written by Martin Treiber and published by Springer Science & Business Media. This book was released on 2012-10-11 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive and instructive coverage of vehicular traffic flow dynamics and modeling. It makes this fascinating interdisciplinary topic, which to date was only documented in parts by specialized monographs, accessible to a broad readership. Numerous figures and problems with solutions help the reader to quickly understand and practice the presented concepts. This book is targeted at students of physics and traffic engineering and, more generally, also at students and professionals in computer science, mathematics, and interdisciplinary topics. It also offers material for project work in programming and simulation at college and university level. The main part, after presenting different categories of traffic data, is devoted to a mathematical description of the dynamics of traffic flow, covering macroscopic models which describe traffic in terms of density, as well as microscopic many-particle models in which each particle corresponds to a vehicle and its driver. Focus chapters on traffic instabilities and model calibration/validation present these topics in a novel and systematic way. Finally, the theoretical framework is shown at work in selected applications such as traffic-state and travel-time estimation, intelligent transportation systems, traffic operations management, and a detailed physics-based model for fuel consumption and emissions.
Book Synopsis Advances in Distributed Parameter Systems by : Jean Auriol
Download or read book Advances in Distributed Parameter Systems written by Jean Auriol and published by Springer Nature. This book was released on 2022-04-24 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proposed book presents recent breakthroughs for the control of distributed parameter systems and follows on from a workshop devoted to this topic. It introduces new and unified visions of the challenging control problems raised by distributed parameter systems. The book collects contributions written by prominent international experts in the control community, addressing a wide variety of topics. It spans the full range from theoretical research to practical implementation and follows three traverse axes: emerging ideas in terms of control strategies (energy shaping, prediction-based control, numerical control, input saturation), theoretical concepts for interconnected systems (with potential non-linear actuation dynamics), advanced applications (cable-operated elevators, traffic networks), and numerical aspects. Cutting-edge experts in the field contributed in this volume, making it a valuable reference source for control practitioners, graduate students, and scientists researching practical and theoretical solutions to the challenging problems raised by distributed parameter systems.
Book Synopsis Managing Our Congested Streets and Highways by :
Download or read book Managing Our Congested Streets and Highways written by and published by . This book was released on 2001 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
