Pde Control Of String Actuated Motion

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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 : 51,5 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.

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 : 40,5 Mb
Release : 2022-10-25
Category : Science
ISBN : 9780691233482

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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.

Advances in Distributed Parameter Systems

Jean Auriol,Joachim Deutscher,Guilherme Mazanti,Giorgio Valmorbida
Advances in Distributed Parameter Systems Book PDF

Author : Jean Auriol,Joachim Deutscher,Guilherme Mazanti,Giorgio Valmorbida
Publisher : Springer Nature
Page : 301 pages
File Size : 42,8 Mb
Release : 2022-04-24
Category : Technology & Engineering
ISBN : 9783030947668

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Advances in Distributed Parameter Systems by Jean Auriol,Joachim Deutscher,Guilherme Mazanti,Giorgio Valmorbida Pdf

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.

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 : 49,8 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.

Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom

Vadim Kaloshin,Ke Zhang
Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom Book PDF

Author : Vadim Kaloshin,Ke Zhang
Publisher : Princeton University Press
Page : 218 pages
File Size : 50,9 Mb
Release : 2020-11-03
Category : Mathematics
ISBN : 9780691202525

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Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom by Vadim Kaloshin,Ke Zhang Pdf

The first complete proof of Arnold diffusion—one of the most important problems in dynamical systems and mathematical physics Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom). This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.

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 : 45,5 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.

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 : 53,6 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.

Stochastic Thermodynamics

Luca Peliti,Simone Pigolotti
Stochastic Thermodynamics Book PDF

Author : Luca Peliti,Simone Pigolotti
Publisher : Princeton University Press
Page : 272 pages
File Size : 45,9 Mb
Release : 2021-07-06
Category : Mathematics
ISBN : 9780691201771

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Stochastic Thermodynamics by Luca Peliti,Simone Pigolotti Pdf

The first comprehensive graduate-level introduction to stochastic thermodynamics Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance. This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers’ physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning. Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field. Emphasizes a pedagogical approach to the subject Highlights connections with the thermodynamics of information Pays special attention to molecular biophysics applications Privileges physical intuition over mathematical formalism Solutions manual available on request for instructors adopting the book in a course

Laminar Flow Theory

P. A. Lagerstrom
Laminar Flow Theory Book PDF

Author : P. A. Lagerstrom
Publisher : Princeton University Press
Page : 284 pages
File Size : 50,8 Mb
Release : 1996-06-02
Category : Mathematics
ISBN : 0691025983

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Laminar Flow Theory by P. A. Lagerstrom Pdf

Fluid mechanics is one of the greatest accomplishments of classical physics. The Navier-Stokes equations, first derived in the eighteenth century, serve as an accurate mathematical model with which to describe the flow of a broad class of real fluids. Not only is the subject of interest to mathematicians and physicists, but it is also indispensable to mechanical, aeronautical, and chemical engineers, who have to apply the equations to real-world examples, such as the flow of air around an aircraft wing or the motion of liquid droplets in a suspension. In this book, which first appeared in a comprehensive collection of essays entitled The Theory of Laminar Flows (Princeton, 1964), P. A. Lagerstrom imparts the essential theoretical framework of laminar flows to the reader. A concise and elegant description, Lagerstrom's work remains a model piece of writing and has much to offer today's reader seeking an introduction to the flow of nonturbulent fluids. Beginning with the conservation laws that result in the equation of continuity, the Navier-Stokes equation, and the energy transport equation, Lagerstrom moves on to consider viscous waves, low Reynolds-number approximations such as Stokes flow and the Oseen equations, and then high Reynolds-number approximations that are used to describe boundary layers, jets, and wakes. Finally, he examines some compressibility effects, such as those that occur in the laminar boundary layer around a flat plate, both with and without a pressure gradient.

Thermodynamics

Wassim M. Haddad,VijaySekhar Chellaboina,Sergey G. Nersesov
Thermodynamics Book PDF

Author : Wassim M. Haddad,VijaySekhar Chellaboina,Sergey G. Nersesov
Publisher : Princeton University Press
Page : 200 pages
File Size : 46,6 Mb
Release : 2005-07-25
Category : Science
ISBN : 0691123276

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Thermodynamics by Wassim M. Haddad,VijaySekhar Chellaboina,Sergey G. Nersesov Pdf

This book places thermodynamics on a system-theoretic foundation so as to harmonize it with classical mechanics. Using the highest standards of exposition and rigor, the authors develop a novel formulation of thermodynamics that can be viewed as a moderate-sized system theory as compared to statistical thermodynamics. This middle-ground theory involves deterministic large-scale dynamical system models that bridge the gap between classical and statistical thermodynamics. The authors' theory is motivated by the fact that a discipline as cardinal as thermodynamics--entrusted with some of the most perplexing secrets of our universe--demands far more than physical mathematics as its underpinning. Even though many great physicists, such as Archimedes, Newton, and Lagrange, have humbled us with their mathematically seamless eurekas over the centuries, this book suggests that a great many physicists and engineers who have developed the theory of thermodynamics seem to have forgotten that mathematics, when used rigorously, is the irrefutable pathway to truth. This book uses system theoretic ideas to bring coherence, clarity, and precision to an extremely important and poorly understood classical area of science.

Hot Molecules, Cold Electrons

Paul J. Nahin
Hot Molecules Cold Electrons Book PDF

Author : Paul J. Nahin
Publisher : Princeton University Press
Page : 232 pages
File Size : 42,5 Mb
Release : 2020-03-17
Category : Mathematics
ISBN : 9780691191720

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Hot Molecules, Cold Electrons by Paul J. Nahin Pdf

"This book is a testament to the intimate, mutual embrace of mathematics and physics. It achieves that by telling the story of an historical event of tremendous impact upon society, both spiritually and technically - the mid-19th century construction of the trans-Atlantic telegraph cable, which reduced the time to send a message across the ocean from weeks to minutes. The story of the cable actually begins decades earlier, at the start of the century, with the French mathematical physicist Joseph Fourier's development of the mathematics that the Scottish physicist William Thomson (later Lord Kelvin) would use to analyze the electrical physics of the cable. The story of Fourier opens the book, that of Thomson completes it, and in-between the reader will learn how to derive Fourier's second-order partial differential equation for the flow of heat energy in matter, how Fourier solved the heat equation, how Thomson used Fourier's solutions to calculate the age of the Earth (imagined to be the result of the of an initially molten sphere of blinding brilliance) and, finally, how Thomson showed that the heat equation also describes the Atlantic cable. An epilogue describing the post-Thomson developments completes the book. All readers who have completed first courses at the level of AP-calculus and AP-physics will be able to read this book. This is a perhaps surprising feature of the book, as the mathematics discussed is normally not encountered until the second year (or even later) of college-level work. This book shows that, in fact, the technical material is fully graspable by a college freshman. Unlike a pure technical book, readers will also find a lot of fascinating history in this book (including the bizarre story of how the English novelist Charles Dickens used the Atlantic cable to send a coded message - during his 1867 American reading tour - to avoid a career-damaging scandal concerning his mistress)"--

A Dynamical Systems Theory of Thermodynamics

Wassim M. Haddad
A Dynamical Systems Theory of Thermodynamics Book PDF

Author : Wassim M. Haddad
Publisher : Princeton University Press
Page : 744 pages
File Size : 53,8 Mb
Release : 2019-06-04
Category : Mathematics
ISBN : 9780691190143

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A Dynamical Systems Theory of Thermodynamics by Wassim M. Haddad Pdf

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics. In particular, the book uses system-theoretic ideas to bring coherence, clarity, and precision to an important and poorly understood classical area of science. The dynamical systems formalism captures all of the key aspects of thermodynamics, including its fundamental laws, while providing a mathematically rigorous formulation for thermodynamical systems out of equilibrium by unifying the theory of mechanics with that of classical thermodynamics. This book includes topics on nonequilibrium irreversible thermodynamics, Boltzmann thermodynamics, mass-action kinetics and chemical reactions, finite-time thermodynamics, thermodynamic critical phenomena with continuous and discontinuous phase transitions, information theory, continuum and stochastic thermodynamics, and relativistic thermodynamics. A Dynamical Systems Theory of Thermodynamics develops a postmodern theory of thermodynamics as part of mathematical dynamical systems theory. The book establishes a clear nexus between thermodynamic irreversibility, the second law of thermodynamics, and the arrow of time to further unify discreteness and continuity, indeterminism and determinism, and quantum mechanics and general relativity in the pursuit of understanding the most fundamental property of the universe—the entropic arrow of time.

Maxwell's Demon

Harvey S. Leff,Andrew F. Rex
Maxwell s Demon Book PDF

Author : Harvey S. Leff,Andrew F. Rex
Publisher : Princeton University Press
Page : 362 pages
File Size : 45,9 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400861521

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Maxwell's Demon by Harvey S. Leff,Andrew F. Rex Pdf

About 120 years ago, James Clerk Maxwell introduced his now legendary hypothetical "demon" as a challenge to the integrity of the second law of thermodynamics. Fascination with the demon persisted throughout the development of statistical and quantum physics, information theory, and computer science--and linkages have been established between Maxwell's demon and each of these disciplines. The demon's seductive quality makes it appealing to physical scientists, engineers, computer scientists, biologists, psychologists, and historians and philosophers of science. Until now its important source material has been scattered throughout diverse journals. This book brings under one cover twenty-five reprints, including seminal works by Maxwell and William Thomson; historical reviews by Martin Klein, Edward Daub, and Peter Heimann; information theoretic contributions by Leo Szilard, Leon Brillouin, Dennis Gabor, and Jerome Rothstein; and innovations by Rolf Landauer and Charles Bennett illustrating linkages with the limits of computation. An introductory chapter summarizes the demon's life, from Maxwell's illustration of the second law's statistical nature to the most recent "exorcism" of the demon based on a need periodically to erase its memory. An annotated chronological bibliography is included. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Topics in Dynamics

Edward Nelson
Topics in Dynamics Book PDF

Author : Edward Nelson
Publisher : Princeton University Press
Page : 123 pages
File Size : 43,8 Mb
Release : 2015-03-08
Category : Science
ISBN : 9781400872596

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Topics in Dynamics by Edward Nelson Pdf

Kinematical problems of both classical and quantum mechanics are considered in these lecture notes ranging from differential calculus to the application of one of Chernoff's theorems. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

A Mathematical Introduction to Robotic Manipulation

Richard M. Murray
A Mathematical Introduction to Robotic Manipulation Book PDF

Author : Richard M. Murray
Publisher : CRC Press
Page : 503 pages
File Size : 45,8 Mb
Release : 2017-12-14
Category : Technology & Engineering
ISBN : 9781351469791

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A Mathematical Introduction to Robotic Manipulation by Richard M. Murray Pdf

A Mathematical Introduction to Robotic Manipulation presents a mathematical formulation of the kinematics, dynamics, and control of robot manipulators. It uses an elegant set of mathematical tools that emphasizes the geometry of robot motion and allows a large class of robotic manipulation problems to be analyzed within a unified framework. The foundation of the book is a derivation of robot kinematics using the product of the exponentials formula. The authors explore the kinematics of open-chain manipulators and multifingered robot hands, present an analysis of the dynamics and control of robot systems, discuss the specification and control of internal forces and internal motions, and address the implications of the nonholonomic nature of rolling contact are addressed, as well. The wealth of information, numerous examples, and exercises make A Mathematical Introduction to Robotic Manipulation valuable as both a reference for robotics researchers and a text for students in advanced robotics courses.