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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.
A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.
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.
The definitive guide to control system design Modern Control System Theory and Design, Second Edition offers themost comprehensive treatment of control systems available today.Its unique text/software combination integrates classical andmodern control system theories, while promoting an interactive,computer-based approach to design solutions. The sheer volume ofpractical examples, as well as the hundreds of illustrations ofcontrol systems from all engineering fields, make this volumeaccessible to students and indispensable for professionalengineers. This fully updated Second Edition features a new chapter on moderncontrol system design, including state-space design techniques,Ackermann's formula for pole placement, estimation, robust control,and the H method for control system design. Other notable additionsto this edition are: * Free MATLAB software containing problem solutions, which can beretrieved from The Mathworks, Inc., anonymous FTP server atftp://ftp.mathworks.com/pub/books/shinners * Programs and tutorials on the use of MATLAB incorporated directlyinto the text * A complete set of working digital computer programs * Reviews of commercial software packages for control systemanalysis * An extensive set of new, worked-out, illustrative solutions addedin dedicated sections at the end of chapters * Expanded end-of-chapter problems--one-third with answers tofacilitate self-study * An updated solutions manual containing solutions to the remainingtwo-thirds of the problems Superbly organized and easy-to-use, Modern Control System Theoryand Design, Second Edition is an ideal textbook for introductorycourses in control systems and an excellent professional reference.Its interdisciplinary approach makes it invaluable for practicingengineers in electrical, mechanical, aeronautical, chemical, andnuclear engineering and related areas.
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.
This book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
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.
This volume contains the proceedings of the Summer School on Identification and Control: some challenges, held from June 18–20, 2019, in Monastir, Tunisia. The articles cover new developments in control theory and inverse problems. First, the problem of Calderón, which consists of determining a conductivity appearing in an elliptic equation from excitation and measurements on a part of the boundary of the domain, is studied. Second, an introduction to the mathematical analysis of inverse spectral problems of Borg-Levinson type is presented. Third, the control of multi-component systems of wave equations, focusing on the notion of simultaneous control (using the same control scheme in all components of the system at hand) and indirect control (using a single control for a system consisting of two components), is presented. Last, the study of the cost of control for parabolic systems, the finite time stabilization of hyperbolic control systems by boundary feedback laws, and image reconstruction by data assimilation are addressed.