Adaptive Control Of Hyperbolic Pdes

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Adaptive Control of Hyperbolic PDEs

Author : Henrik Anfinsen
Publisher : Springer
ISBN 13 : 3030058794
Total Pages : 478 pages
Book Rating : 4.0/5 (3 download)

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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.

Boundary Control of PDEs

Author : Miroslav Krstic
Publisher : SIAM
ISBN 13 : 0898718600
Total Pages : 197 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Boundary Control of PDEs by : Miroslav Krstic

Download or read book Boundary Control of PDEs written by Miroslav Krstic and published by SIAM. This book was released on 2008-01-01 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs.

Adaptive Control of Parabolic PDEs

Author : Andrey Smyshlyaev
Publisher : Princeton University Press
ISBN 13 : 1400835364
Total Pages : 344 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Adaptive Control of Parabolic PDEs by : Andrey Smyshlyaev

Download or read book Adaptive Control of Parabolic PDEs written by Andrey Smyshlyaev and published by Princeton University Press. This book was released on 2010-07-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems. Andrey Smyshlyaev and Miroslav Krstic develop explicit feedback laws that do not require real-time solution of Riccati or other algebraic operator-valued equations. The book emphasizes stabilization by boundary control and using boundary sensing for unstable PDE systems with an infinite relative degree. The book also presents a rich collection of methods for system identification of PDEs, methods that employ Lyapunov, passivity, observer-based, swapping-based, gradient, and least-squares tools and parameterizations, among others. Including a wealth of stimulating ideas and providing the mathematical and control-systems background needed to follow the designs and proofs, the book will be of great use to students and researchers in mathematics, engineering, and physics. It also makes a valuable supplemental text for graduate courses on distributed parameter systems and adaptive control.

Delay Compensation for Nonlinear, Adaptive, and PDE Systems

Author : Miroslav Krstic
Publisher : Springer Science & Business Media
ISBN 13 : 0817648771
Total Pages : 458 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Delay Compensation for Nonlinear, Adaptive, and PDE Systems by : Miroslav Krstic

Download or read book Delay Compensation for Nonlinear, Adaptive, and PDE Systems written by Miroslav Krstic and published by Springer Science & Business Media. This book was released on 2010-01-23 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shedding light on new opportunities in predictor feedback, this book significantly broadens the set of techniques available to a mathematician or engineer working on delay systems. It is a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, systems with highly uncertain or completely unknown input/output delays, and systems whose actuator or sensor dynamics are modeled by more general hyperbolic or parabolic PDEs, rather than by pure delay. Replete with examples, Delay Compensation for Nonlinear, Adaptive, and PDE Systems is an excellent reference guide for graduate students, researchers, and professionals in mathematics, systems control, as well as chemical, mechanical, electrical, computer, aerospace, and civil/structural engineering. Parts of the book may be used in graduate courses on general distributed parameter systems, linear delay systems, PDEs, nonlinear control, state estimator and observers, adaptive control, robust control, or linear time-varying systems.

Input-to-State Stability for PDEs

Author : Iasson Karafyllis
Publisher : Springer
ISBN 13 : 3319910116
Total Pages : 296 pages
Book Rating : 4.3/5 (199 download)

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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.

Adaptive Numerical Solution of PDEs

Author : Peter Deuflhard
Publisher : Walter de Gruyter
ISBN 13 : 3110283115
Total Pages : 436 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Adaptive Numerical Solution of PDEs by : Peter Deuflhard

Download or read book Adaptive Numerical Solution of PDEs written by Peter Deuflhard and published by Walter de Gruyter. This book was released on 2012-08-31 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the general topic “Numerical solution of partial differential equations (PDEs)” with a focus on adaptivity of discretizations in space and time. By and large, introductory textbooks like “Numerical Analysis in Modern Scientific Computing” by Deuflhard and Hohmann should suffice as a prerequisite. The emphasis lies on elliptic and parabolic systems. Hyperbolic conservation laws are treated only on an elementary level excluding turbulence. Numerical Analysis is clearly understood as part of Scientific Computing. The focus is on the efficiency of algorithms, i.e. speed, reliability, and robustness, which directly leads to the concept of adaptivity in algorithms. The theoretical derivation and analysis is kept as elementary as possible. Nevertheless required somewhat more sophisticated mathematical theory is summarized in comprehensive form in an appendix. Complex relations are explained by numerous figures and illustrating examples. Non-trivial problems from regenerative energy, nanotechnology, surgery, and physiology are inserted. The text will appeal to graduate students and researchers on the job in mathematics, science, and technology. Conceptually, it has been written as a textbook including exercises and a software list, but at the same time it should be well-suited for self-study.

PDE Control of String-Actuated Motion

Author : Ji Wang
Publisher : Princeton University Press
ISBN 13 : 0691233489
Total Pages : 512 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis PDE Control of String-Actuated Motion by : Ji Wang

Download or read book PDE Control of String-Actuated Motion written by Ji Wang and published by Princeton University Press. This book was released on 2022-10-25 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: New adaptive and event-triggered control designs with concrete applications in undersea construction, offshore drilling, and cable elevators Control applications in undersea construction, cable elevators, and offshore drilling present major methodological challenges because they involve PDE systems (cables and drillstrings) of time-varying length, coupled with ODE systems (the attached loads or tools) that usually have unknown parameters and unmeasured states. In PDE Control of String-Actuated Motion, Ji Wang and Miroslav Krstic develop control algorithms for these complex PDE-ODE systems evolving on time-varying domains. Motivated by physical systems, the book’s algorithms are designed to operate, with rigorous mathematical guarantees, in the presence of real-world challenges, such as unknown parameters, unmeasured distributed states, environmental disturbances, delays, and event-triggered implementations. The book leverages the power of the PDE backstepping approach and expands its scope in many directions. Filled with theoretical innovations and comprehensive in its coverage, PDE Control of String-Actuated Motion provides new design tools and mathematical techniques with far-reaching potential in adaptive control, delay systems, and event-triggered control.

Exerzir-Reglement für die Kurfürstlich Hessische Cavallerie

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (673 download)

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Book Synopsis Exerzir-Reglement für die Kurfürstlich Hessische Cavallerie by :

Download or read book Exerzir-Reglement für die Kurfürstlich Hessische Cavallerie written by and published by . This book was released on 1822 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Control Under Nonconstant Delays

Author : Nikolaos Bekiaris-Liberis
Publisher : SIAM
ISBN 13 : 1611973171
Total Pages : 293 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Nonlinear Control Under Nonconstant Delays by : Nikolaos Bekiaris-Liberis

Download or read book Nonlinear Control Under Nonconstant Delays written by Nikolaos Bekiaris-Liberis and published by SIAM. This book was released on 2013-09-25 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors have developed a methodology for control of nonlinear systems in the presence of long delays, with large and rapid variation in the actuation or sensing path, or in the presence of long delays affecting the internal state of a system. In addition to control synthesis, they introduce tools to quantify the performance and the robustness properties of the designs provided in the book. The book is based on the concept of predictor feedback and infinite-dimensional backstepping transformation for linear systems and the authors guide the reader from the basic ideas of the concept?with constant delays only on the input?all the way through to nonlinear systems with state-dependent delays on the input as well as on system states. Readers will find the book useful because the authors provide elegant and systematic treatments of long-standing problems in delay systems, such as systems with state-dependent delays that arise in many applications. In addition, the authors give all control designs by explicit formulae, making the book especially useful for engineers who have faced delay-related challenges and are concerned with actual implementations and they accompany all control designs with Lyapunov-based analysis for establishing stability and performance guarantees.

PDE Control of String-Actuated Motion

Author : Ji Wang
Publisher : Princeton University Press
ISBN 13 : 0691233497
Total Pages : 512 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis PDE Control of String-Actuated Motion by : Ji Wang

The Concept of Stability in Numerical Mathematics

Author : Wolfgang Hackbusch
Publisher : Springer Science & Business Media
ISBN 13 : 3642393861
Total Pages : 202 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Concept of Stability in Numerical Mathematics by : Wolfgang Hackbusch

Download or read book The Concept of Stability in Numerical Mathematics written by Wolfgang Hackbusch and published by Springer Science & Business Media. This book was released on 2014-02-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.

Traffic Congestion Control by PDE Backstepping

Author : Huan Yu
Publisher : Springer Nature
ISBN 13 : 3031193466
Total Pages : 363 pages
Book Rating : 4.0/5 (311 download)

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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.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Sylvie Benzoni-Gavage
Publisher : Springer Science & Business Media
ISBN 13 : 3540757120
Total Pages : 1117 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Sylvie Benzoni-Gavage

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Sylvie Benzoni-Gavage and published by Springer Science & Business Media. This book was released on 2008-01-12 with total page 1117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers that were presented at HYP2006, the eleventh international Conference on Hyperbolic Problems: Theory, Numerics and Applications. This biennial series of conferences has become one of the most important international events in Applied Mathematics. As computers became more and more powerful, the interplay between theory, modeling, and numerical algorithms gained considerable impact, and the scope of HYP conferences expanded accordingly.

Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

Author : Ivo Babuska
Publisher : Springer Science & Business Media
ISBN 13 : 1461242487
Total Pages : 487 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations by : Ivo Babuska

Download or read book Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations written by Ivo Babuska and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: With considerations such as complex-dimensional geometries and nonlinearity, the computational solution of partial differential systems has become so involved that it is important to automate decisions that have been normally left to the individual. This book covers such decisions: 1) mesh generation with links to the software generating the domain geometry, 2) solution accuracy and reliability with mesh selection linked to solution generation. This book is suited for mathematicians, computer scientists and engineers and is intended to encourage interdisciplinary interaction between the diverse groups.

Trends in Nonlinear and Adaptive Control

Author : Zhong-Ping Jiang
Publisher : Springer
ISBN 13 : 9783030746308
Total Pages : 0 pages
Book Rating : 4.7/5 (463 download)

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Book Synopsis Trends in Nonlinear and Adaptive Control by : Zhong-Ping Jiang

Download or read book Trends in Nonlinear and Adaptive Control written by Zhong-Ping Jiang and published by Springer. This book was released on 2022-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, published in honor of Professor Laurent Praly on the occasion of his 65th birthday, explores the responses of some leading international authorities to new challenges in nonlinear and adaptive control. The mitigation of the effects of uncertainty and nonlinearity – ubiquitous features of real-world engineering and natural systems – on closed-loop stability and robustness being of crucial importance, the contributions report the latest research into overcoming these difficulties in: autonomous systems; reset control systems; multiple-input–multiple-output nonlinear systems; input delays; partial differential equations; population games; and data-driven control. Trends in Nonlinear and Adaptive Control presents research inspired by and related to Professor Praly’s lifetime of contributions to control theory and is a valuable addition to the literature of advanced control.

Real-time PDE-constrained Optimization

Author : Lorenz T. Biegler
Publisher : SIAM
ISBN 13 : 9780898718935
Total Pages : 335 pages
Book Rating : 4.7/5 (189 download)

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Book Synopsis Real-time PDE-constrained Optimization by : Lorenz T. Biegler

Download or read book Real-time PDE-constrained Optimization written by Lorenz T. Biegler and published by SIAM. This book was released on 2007-01-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many engineering and scientific problems in design, control, and parameter estimation can be formulated as optimization problems that are governed by partial differential equations (PDEs). The complexities of the PDEs--and the requirement for rapid solution--pose significant difficulties. A particularly challenging class of PDE-constrained optimization problems is characterized by the need for real-time solution, i.e., in time scales that are sufficiently rapid to support simulation-based decision making. Real-Time PDE-Constrained Optimization, the first book devoted to real-time optimization for systems governed by PDEs, focuses on new formulations, methods, and algorithms needed to facilitate real-time, PDE-constrained optimization. In addition to presenting state-of-the-art algorithms and formulations, the text illustrates these algorithms with a diverse set of applications that includes problems in the areas of aerodynamics, biology, fluid dynamics, medicine, chemical processes, homeland security, and structural dynamics. Audience: readers who have expertise in simulation and are interested in incorporating optimization into their simulations, who have expertise in numerical optimization and are interested in adapting optimization methods to the class of infinite-dimensional simulation problems, or who have worked in "offline" optimization contexts and are interested in moving to "online" optimization.

Delay-Adaptive Linear Control

Author : Yang Zhu
Publisher : Princeton University Press
ISBN 13 : 0691203318
Total Pages : 352 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Delay-Adaptive Linear Control by : Yang Zhu

Download or read book Delay-Adaptive Linear Control written by Yang Zhu and published by Princeton University Press. This book was released on 2020-04-28 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Actuator and sensor delays are among the most common dynamic phenomena in engineering practice, and when disregarded, they render controlled systems unstable. Over the past sixty years, predictor feedback has been a key tool for compensating such delays, but conventional predictor feedback algorithms assume that the delays and other parameters of a given system are known. When incorrect parameter values are used in the predictor, the resulting controller may be as destabilizing as without the delay compensation. Delay-Adaptive Linear Control develops adaptive predictor feedback algorithms equipped with online estimators of unknown delays and other parameters. Such estimators are designed as nonlinear differential equations, which dynamically adjust the parameters of the predictor. The design and analysis of the adaptive predictors involves a Lyapunov stability study of systems whose dimension is infinite, because of the delays, and nonlinear, because of the parameter estimators. This comprehensive book solves adaptive delay compensation problems for systems with single and multiple inputs/outputs, unknown and distinct delays in different input channels, unknown delay kernels, unknown plant parameters, unmeasurable finite-dimensional plant states, and unmeasurable infinite-dimensional actuator states. Presenting breakthroughs in adaptive control and control of delay systems, Delay-Adaptive Linear Control offers powerful new tools for the control engineer and the mathematician.