Adaptive Control Of Parabolic Pdes

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Adaptive Control of Parabolic PDEs

Andrey Smyshlyaev,Miroslav Krstic
Adaptive Control of Parabolic PDEs Book PDF

Author : Andrey Smyshlyaev,Miroslav Krstic
Publisher : Princeton University Press
Page : 344 pages
File Size : 48,8 Mb
Release : 2010-07-01
Category : Mathematics
ISBN : 9781400835362

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Adaptive Control of Parabolic PDEs by Andrey Smyshlyaev,Miroslav Krstic Pdf

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.

Boundary Control of PDEs

Miroslav Krstic,Andrey Smyshlyaev
Boundary Control of PDEs Book PDF

Author : Miroslav Krstic,Andrey Smyshlyaev
Publisher : SIAM
Page : 197 pages
File Size : 41,7 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 9780898718607

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Boundary Control of PDEs by Miroslav Krstic,Andrey Smyshlyaev Pdf

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 Hyperbolic PDEs

Henrik Anfinsen,Ole Morten Aamo
Adaptive Control of Hyperbolic PDEs Book PDF

Author : Henrik Anfinsen,Ole Morten Aamo
Publisher : Springer
Page : 478 pages
File Size : 48,9 Mb
Release : 2019-02-21
Category : Technology & Engineering
ISBN : 9783030058791

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Adaptive Control of Hyperbolic PDEs by Henrik Anfinsen,Ole Morten Aamo Pdf

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.

Delay Compensation for Nonlinear, Adaptive, and PDE Systems

Miroslav Krstic
Delay Compensation for Nonlinear Adaptive and PDE Systems Book PDF

Author : Miroslav Krstic
Publisher : Springer Science & Business Media
Page : 458 pages
File Size : 42,7 Mb
Release : 2010-01-23
Category : Mathematics
ISBN : 9780817648770

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Delay Compensation for Nonlinear, Adaptive, and PDE Systems by Miroslav Krstic Pdf

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.

Control of Higher–Dimensional PDEs

Thomas Meurer
Control of Higher Dimensional PDEs Book PDF

Author : Thomas Meurer
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 46,6 Mb
Release : 2012-08-13
Category : Technology & Engineering
ISBN : 9783642300158

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Control of Higher–Dimensional PDEs by Thomas Meurer Pdf

This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.

Input-to-State Stability for PDEs

Iasson Karafyllis,Miroslav Krstic
Input to State Stability for PDEs Book PDF

Author : Iasson Karafyllis,Miroslav Krstic
Publisher : Springer
Page : 287 pages
File Size : 42,9 Mb
Release : 2018-06-07
Category : Technology & Engineering
ISBN : 9783319910116

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Input-to-State Stability for PDEs by Iasson Karafyllis,Miroslav Krstic Pdf

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.

Traffic Congestion Control by PDE Backstepping

Huan Yu,Miroslav Krstic
Traffic Congestion Control by PDE Backstepping Book PDF

Author : Huan Yu,Miroslav Krstic
Publisher : Springer Nature
Page : 363 pages
File Size : 50,7 Mb
Release : 2022-12-16
Category : Science
ISBN : 9783031193460

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Traffic Congestion Control by PDE Backstepping by Huan Yu,Miroslav Krstic Pdf

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.

The Control Handbook (three volume set)

William S. Levine
The Control Handbook three volume set Book PDF

Author : William S. Levine
Publisher : CRC Press
Page : 3526 pages
File Size : 50,6 Mb
Release : 2018-10-08
Category : Technology & Engineering
ISBN : 9781420073676

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The Control Handbook (three volume set) by William S. Levine Pdf

At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition brilliantly organizes cutting-edge contributions from more than 200 leading experts representing every corner of the globe. They cover everything from basic closed-loop systems to multi-agent adaptive systems and from the control of electric motors to the control of complex networks. Progressively organized, the three volume set includes: Control System Fundamentals Control System Applications Control System Advanced Methods Any practicing engineer, student, or researcher working in fields as diverse as electronics, aeronautics, or biomedicine will find this handbook to be a time-saving resource filled with invaluable formulas, models, methods, and innovative thinking. In fact, any physicist, biologist, mathematician, or researcher in any number of fields developing or improving products and systems will find the answers and ideas they need. As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances.

The Control Systems Handbook

William S. Levine
The Control Systems Handbook Book PDF

Author : William S. Levine
Publisher : CRC Press
Page : 1798 pages
File Size : 41,9 Mb
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 9781420073652

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The Control Systems Handbook by William S. Levine Pdf

At publication, The Control Handbook immediately became the definitive resource that engineers working with modern control systems required. Among its many accolades, that first edition was cited by the AAP as the Best Engineering Handbook of 1996. Now, 15 years later, William Levine has once again compiled the most comprehensive and authoritative resource on control engineering. He has fully reorganized the text to reflect the technical advances achieved since the last edition and has expanded its contents to include the multidisciplinary perspective that is making control engineering a critical component in so many fields. Now expanded from one to three volumes, The Control Handbook, Second Edition organizes cutting-edge contributions from more than 200 leading experts. The third volume, Control System Advanced Methods, includes design and analysis methods for MIMO linear and LTI systems, Kalman filters and observers, hybrid systems, and nonlinear systems. It also covers advanced considerations regarding — Stability Adaptive controls System identification Stochastic control Control of distributed parameter systems Networks and networked controls As with the first edition, the new edition not only stands as a record of accomplishment in control engineering but provides researchers with the means to make further advances. Progressively organized, the first two volumes in the set include: Control System Fundamentals Control System Applications

Delay-Adaptive Linear Control

Yang Zhu,Miroslav Krstic
Delay Adaptive Linear Control Book PDF

Author : Yang Zhu,Miroslav Krstic
Publisher : Princeton University Press
Page : 354 pages
File Size : 40,9 Mb
Release : 2020-04-28
Category : Mathematics
ISBN : 9780691202549

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Delay-Adaptive Linear Control by Yang Zhu,Miroslav Krstic Pdf

Basic predictor feedback for single-input systems -- Basic idea of adaptive control for single-input systems -- Single-input systems with full relative degree -- Single-input systems with arbitrary relative degree -- Exact predictor feedback for multi-input systems -- Full-state feedback of uncertain multi-input systems -- Output feedback of uncertain multi-input systems -- Output feedback of systems with uncertain delays, parameters and ODE state -- Predictor feedback for uncertainty-free systems -- Predictor feedback of uncertain single-input systems -- Predictor feedback of uncertain multi-input systems.

Trends in Nonlinear and Adaptive Control

Zhong-Ping Jiang,Christophe Prieur,Alessandro Astolfi
Trends in Nonlinear and Adaptive Control Book PDF

Author : Zhong-Ping Jiang,Christophe Prieur,Alessandro Astolfi
Publisher : Springer Nature
Page : 291 pages
File Size : 41,6 Mb
Release : 2021-09-11
Category : Technology & Engineering
ISBN : 9783030746285

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Trends in Nonlinear and Adaptive Control by Zhong-Ping Jiang,Christophe Prieur,Alessandro Astolfi Pdf

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.

Materials Phase Change PDE Control & Estimation

Shumon Koga,Miroslav Krstic
Materials Phase Change PDE Control Estimation Book PDF

Author : Shumon Koga,Miroslav Krstic
Publisher : Springer Nature
Page : 352 pages
File Size : 47,9 Mb
Release : 2020-11-01
Category : Science
ISBN : 9783030584900

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Materials Phase Change PDE Control & Estimation by Shumon Koga,Miroslav Krstic Pdf

This monograph introduces breakthrough control algorithms for partial differential equation models with moving boundaries, the study of which is known as the Stefan problem. The algorithms can be used to improve the performance of various processes with phase changes, such as additive manufacturing. Using the authors' innovative design solutions, readers will also be equipped to apply estimation algorithms for real-world phase change dynamics, from polar ice to lithium-ion batteries. A historical treatment of the Stefan problem opens the book, situating readers in the larger context of the area. Following this, the chapters are organized into two parts. The first presents the design method and analysis of the boundary control and estimation algorithms. Part two then explores a number of applications, such as 3D printing via screw extrusion and laser sintering, and also discusses the experimental verifications conducted. A number of open problems and provided as well, offering readers multiple paths to explore in future research. Materials Phase Change PDE Control & Estimation is ideal for researchers and graduate students working on control and dynamical systems, and particularly those studying partial differential equations and moving boundaries. It will also appeal to industrial engineers and graduate students in engineering who are interested in this area.

Dynamics and Control of Mechanical Systems in Offshore Engineering

Wei He,Shuzhi Sam Ge,Bernard Voon Ee How,Yoo Sang Choo
Dynamics and Control of Mechanical Systems in Offshore Engineering Book PDF

Author : Wei He,Shuzhi Sam Ge,Bernard Voon Ee How,Yoo Sang Choo
Publisher : Springer Science & Business Media
Page : 240 pages
File Size : 50,5 Mb
Release : 2013-10-02
Category : Technology & Engineering
ISBN : 9781447153375

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Dynamics and Control of Mechanical Systems in Offshore Engineering by Wei He,Shuzhi Sam Ge,Bernard Voon Ee How,Yoo Sang Choo Pdf

Dynamics and Control of Mechanical Systems in Offshore Engineering is a comprehensive treatment of marine mechanical systems (MMS) involved in processes of great importance such as oil drilling and mineral recovery. Ranging from nonlinear dynamic modeling and stability analysis of flexible riser systems, through advanced control design for an installation system with a single rigid payload attached by thrusters, to robust adaptive control for mooring systems, it is an authoritative reference on the dynamics and control of MMS. Readers will gain not only a complete picture of MMS at the system level, but also a better understanding of the technical considerations involved and solutions to problems that commonly arise from dealing with them. The text provides: · a complete framework of dynamical analysis and control design for marine mechanical systems; · new results on the dynamical analysis of riser, mooring and installation systems together with a general modeling method for a class of MMS; · a general method and strategy for realizing the control objectives of marine systems with guaranteed stability the effectiveness of which is illustrated by extensive numerical simulation; and · approximation-based control schemes using neural networks for installation of subsea structures with attached thrusters in the presence of time-varying environmental disturbances and parametric uncertainties. Most of the results presented are analytical with repeatable design algorithms with proven closed-loop stability and performance analysis of the proposed controllers is rigorous and detailed. Dynamics and Control of Mechanical Systems in Offshore Engineering is primarily intended for researchers and engineers in the system and control community, but graduate students studying control and marine engineering will also find it a useful resource as will practitioners working on the design, running or maintenance of offshore platforms.

PDE Control of String-Actuated Motion

Ji Wang,Miroslav Krstic
PDE Control of String Actuated Motion Book PDF

Author : Ji Wang,Miroslav Krstic
Publisher : Princeton University Press
Page : 512 pages
File Size : 52,9 Mb
Release : 2022-10-25
Category : Science
ISBN : 9780691233499

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PDE Control of String-Actuated Motion by Ji Wang,Miroslav Krstic Pdf

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.

Flow Control by Feedback

Ole Morten Aamo,Miroslav Krstic
Flow Control by Feedback Book PDF

Author : Ole Morten Aamo,Miroslav Krstic
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 49,7 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9781447138051

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Flow Control by Feedback by Ole Morten Aamo,Miroslav Krstic Pdf

This accessible book pioneers feedback concepts for control mixing. It reviews research results appearing over the last decade, and contains control designs for stabilization of channel, pipe and bluff body flows, as well as control designs for the opposite problem of mixing enhancement.