Fourier Series in Control Theory PDF Download
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Author: Vilmos Komornik
Publisher: Springer Science & Business Media
ISBN: 0387223835
Category : Computers
Languages : en
Pages : 230
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Book Description
This book is the first serious attempt to gather all of the available theory of "nonharmonic Fourier series" in one place, combining published results with new results by the authors.
Author: Vilmos Komornik
Publisher: Springer Science & Business Media
ISBN: 0387223835
Category : Computers
Languages : en
Pages : 230
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Book Description
This book is the first serious attempt to gather all of the available theory of "nonharmonic Fourier series" in one place, combining published results with new results by the authors.
Author: John C. Doyle
Publisher: Courier Corporation
ISBN: 0486318338
Category : Technology & Engineering
Languages : en
Pages : 264
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Book Description
An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.
Author: Steven L. Brunton
Publisher: Cambridge University Press
ISBN: 1009098489
Category : Computers
Languages : en
Pages : 615
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Book Description
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
Author: Ronald Newbold Bracewell
Publisher:
ISBN:
Category : Fourier transformations
Languages : en
Pages :
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Book Description
Author: Eduardo D. Sontag
Publisher: Springer Science & Business Media
ISBN: 1461205778
Category : Mathematics
Languages : en
Pages : 543
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Book Description
Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.
Author: T. W. Körner
Publisher: Cambridge University Press
ISBN: 1009230077
Category : Mathematics
Languages : en
Pages :
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Book Description
Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. This diversity of interest is often overlooked, but in this much-loved book, Tom Körner provides a shop window for some of the ideas, techniques and elegant results of Fourier analysis, and for their applications. These range from number theory, numerical analysis, control theory and statistics, to earth science, astronomy and electrical engineering. The prerequisites are few (a reader with knowledge of second- or third-year undergraduate mathematics should have no difficulty following the text), and the style is lively and entertaining. This edition of Körner's 1989 text includes a foreword written by Professor Terence Tao introducing it to a new generation of fans.
Author: Stanley M. Shinners
Publisher: Wiley-Interscience
ISBN:
Category : Science
Languages : en
Pages : 888
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Book Description
Offers unified treatment of conventional and modern continuous and discrete control theory and demonstrates how to apply the theory to realistic control system design problems. Along with linear and nonlinear, digital and optimal control systems, it presents four case studies of actual designs. The majority of solutions contained in the book and the problems at the ends of the chapters were generated using the commercial software package, MATLAB, and is available free to the users of the book by returning a postcard contained with the book to the MathWorks, Inc. This software also contains the following features/utilities created to enhance MATLAB and several of the MathWorks' toolboxes: Tutorial File which contains the essentials necessary to understand the MATLAB interface (other books require additional books for full comprehension), Demonstration m-file which gives the users a feel for the various utilities included, OnLine HELP, Synopsis File which reviews and highlights the features of each chapter.
Author: Valery Serov
Publisher: Springer
ISBN: 9783319879857
Category : Mathematics
Languages : en
Pages : 0
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Book Description
This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.
Author: John Bechhoefer
Publisher: Cambridge University Press
ISBN: 1107001188
Category : Mathematics
Languages : en
Pages : 661
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Book Description
Bridging the basics to recent research advances, this is the ideal learning and reference work for physicists studying control theory.
Author: Steven A. Frank
Publisher: Springer
ISBN: 3319917072
Category : Technology & Engineering
Languages : en
Pages : 112
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Book Description
This open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches. Electronic codes for this title can be downloaded from https://extras.springer.com/?query=978-3-319-91707-8
