State Functions and Linear Control Systems

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Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis State Functions and Linear Control Systems by : Donald G. Schultz

Download or read book State Functions and Linear Control Systems written by Donald G. Schultz and published by . This book was released on 1967 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Piecewise Linear Control Systems

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Publisher : Springer
ISBN 13 : 3540368019
Total Pages : 212 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Piecewise Linear Control Systems by : Mikael K.-J. Johansson

Download or read book Piecewise Linear Control Systems written by Mikael K.-J. Johansson and published by Springer. This book was released on 2003-07-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2. Piecewise Linear Modeling . . . . . . . . . . . . . . . . . . . . . 9 2. 1 Model Representation . . . . . . . . . . . . . . . . . . . . . 9 2. 2 Solution Concepts . . . . . . . . . . . . . . . . . . . . . . . 2. 3 Uncertainty Models . . . . . . . . . . . . . . . . . . . . . . 2. 4 Modularity and Interconnections . . . . . . . . . . . . . . 26 2. 5 Piecewise Linear Function Representations . . . . . . . . . 28 2. 6 Comments and References . . . . . . . . . . . . . . . . . . 30 3. Structural Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3. 1 Equilibrium Points and the Steady State Characteristic . . 32 3. 2 Constraint Verification and Invariance . . . . . . . . . . . 35 3. 3 Detecting Attractive Sliding Modes on Cell Boundaries 37 3. 4 Comments and References . . . . . . . . . . . . . . . . . . 39 4. Lyapunov Stability . . . . . . . . . . . . . . . . . . . . . . . . . . 41 4. 1 Exponential Stability . . . . . . . . . . . . . . . . . . . . . . 41 4. 2 Quadratic Stability . . . . . . . . . . . . . . . . . . . . . . . 42 4. 3 Conservatism of Quadratic Stability . . . . . . . . . . . . . 46 4. 4 From Quadratic to Piecewise Quadratic . . . . . . . . . . . 48 4. 5 Interlude: Describing Partition Properties . . . . . . . . . 51 4. 6 Piecewise Quadratic Lyapunov Functions . . . . . . . . . 55 4. 7 Analysis of Piecewise Linear Differential Inclusions . . . . 61 4. 8 Analysis of Systems with Attractive Sliding Modes . . . . 63 4. 9 Improving Computational Efficiency . . . . . . . . . . . . 66 4. 10 Piecewise Linear Lyapunov Functions . . . . . . . . . . . 72 4. 11 A Unifying View . . . . . . . . . . . . . . . . . . . . . . . . 77 4. 12 Comments and References . . . . . . . . . . . . . . . . . . 82 5. Dissipativity Analysis . . . . . . . . . . . . . . . . . . . . . . . . 85 5. 1 Dissipativity Analysis via Convex Optimization . . . . . . 86 21 14 Contents Contents 5. 2 Computation of £2 induced Gain . . . . . . . . . . . . . . 88 5. 3 Estimation of Transient Energy . . . . . . . . . . . . . . . . 89 5. 4 Dissipative Systems with Quadratic Supply Rates . . . . . 91 5. 5 Comments and References . . . . . . . . . . . . . . . . . . 95 Controller Design . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 6. 1 Quadratic Stabilization of Piecewise Linear" Systems . . . 97 6. 2 Controller Synthesis based on Piecewise Quadratics . . . 98 6. 3 Comments and References . . . . . . . . . . . . . . . . . . 105 7. Selected Topics . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 7. 1 Estimation of Regions of Attraction . . . . . . . . . . . . .

Linear State-Space Control Systems

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Publisher : John Wiley & Sons
ISBN 13 : 0471735558
Total Pages : 485 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Linear State-Space Control Systems by : Robert L. Williams, II

Download or read book Linear State-Space Control Systems written by Robert L. Williams, II and published by John Wiley & Sons. This book was released on 2007-02-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area.

Fundamentals of Linear State Space Systems

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Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fundamentals of Linear State Space Systems by : John S. Bay

Download or read book Fundamentals of Linear State Space Systems written by John S. Bay and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1999 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spans a broad range of linear system theory concepts, but does so in a complete and sequential style. It is suitable for a first-year graduate or advanced undergraduate course in any field of engineering. State space methods are derived from first principles while drawing on the students' previous understanding of physical and mathematical concepts. The text requires only a knowledge of basic signals and systems theory, but takes the student, in a single semester, all the way through state feedback, observers, Kalman filters, and elementary I.Q.G. control.

Linear Controller Design

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Linear Controller Design by : Stephen P. Boyd

Download or read book Linear Controller Design written by Stephen P. Boyd and published by . This book was released on 1991 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Systems and Control

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Publisher : CRC Press
ISBN 13 : 9780203911372
Total Pages : 368 pages
Book Rating : 4.9/5 (113 download)

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Book Synopsis Linear Systems and Control by : Martin J. Corless

Download or read book Linear Systems and Control written by Martin J. Corless and published by CRC Press. This book was released on 2003-03-27 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.

Linear System Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461209579
Total Pages : 524 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Linear System Theory by : Frank M. Callier

Download or read book Linear System Theory written by Frank M. Callier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.

Control System Design

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Publisher : Courier Corporation
ISBN 13 : 048613511X
Total Pages : 530 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Control System Design by : Bernard Friedland

Download or read book Control System Design written by Bernard Friedland and published by Courier Corporation. This book was released on 2012-03-08 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to state-space methods covers feedback control; state-space representation of dynamic systems and dynamics of linear systems; frequency-domain analysis; controllability and observability; shaping the dynamic response; more. 1986 edition.

Introduction To Control Systems, An (2nd Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813103280
Total Pages : 378 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Introduction To Control Systems, An (2nd Edition) by : Kevin Warwick

Download or read book Introduction To Control Systems, An (2nd Edition) written by Kevin Warwick and published by World Scientific Publishing Company. This book was released on 1996-01-31 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This significantly revised edition presents a broad introduction to Control Systems and balances new, modern methods with the more classical. It is an excellent text for use as a first course in Control Systems by undergraduate students in all branches of engineering and applied mathematics. The book contains: A comprehensive coverage of automatic control, integrating digital and computer control techniques and their implementations, the practical issues and problems in Control System design; the three-term PID controller, the most widely used controller in industry today; numerous in-chapter worked examples and end-of-chapter exercises. This second edition also includes an introductory guide to some more recent developments, namely fuzzy logic control and neural networks.

Linear Control System Analysis and Design

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Publisher : CRC Press
ISBN 13 : 0203911423
Total Pages : 859 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Linear Control System Analysis and Design by : Constantine H. Houpis

Download or read book Linear Control System Analysis and Design written by Constantine H. Houpis and published by CRC Press. This book was released on 2003-08-14 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly classroom-tested and proven to be a valuable self-study companion, Linear Control System Analysis and Design: Fifth Edition uses in-depth explanations, diagrams, calculations, and tables, to provide an intensive overview of modern control theory and conventional control system design. The authors keep the mathematics to a minimum while stressing real-world engineering challenges. Completely updated and packed with student-friendly features, the Fifth Edition presents a wide range of examples using MATLAB® and TOTAL-PC, as well as an appendix listing MATLAB functions for optimizing control system analysis and design. Eighty percent of the problems presented in the previous edition have been revised to further reinforce concepts necessary for current electrical, aeronautical, astronautical, and mechanical applications.

Linear Control System Analysis and Design with MATLAB

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Publisher : CRC Press
ISBN 13 : 1466504277
Total Pages : 712 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Linear Control System Analysis and Design with MATLAB by : Constantine H. Houpis

Download or read book Linear Control System Analysis and Design with MATLAB written by Constantine H. Houpis and published by CRC Press. This book was released on 2013-10-30 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses numerous in-depth explanations, diagrams, calculations, and tables to provide an intensive overview of modern control theory and control system design. Mathematics is kept to a minimum, and engineering applications are stressed throughout. Completely updated and packed with student-friendly features, the sixth edition presents a range of updated examples using MATLAB, as well as an appendix listing MATLAB functions for optimizing control system analysis and design. Over 75 percent of the problems presented in the previous edition have been revised or replaced.

Feedback Systems

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Publisher : Princeton University Press
ISBN 13 : 069121347X
Total Pages : pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Feedback Systems by : Karl Johan Åström

Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Feedback Control Theory

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Publisher : Courier Corporation
ISBN 13 : 0486318338
Total Pages : 264 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Feedback Control Theory by : John C. Doyle

Download or read book Feedback Control Theory written by John C. Doyle and published by Courier Corporation. This book was released on 2013-04-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Modern Control System Theory and Design

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Publisher : John Wiley & Sons
ISBN 13 : 9780471249061
Total Pages : 748 pages
Book Rating : 4.2/5 (49 download)

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Book Synopsis Modern Control System Theory and Design by : Stanley M. Shinners

Download or read book Modern Control System Theory and Design written by Stanley M. Shinners and published by John Wiley & Sons. This book was released on 1998-05-06 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Linear Feedback Control

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Publisher : SIAM
ISBN 13 : 9780898718621
Total Pages : 366 pages
Book Rating : 4.7/5 (186 download)

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Book Synopsis Linear Feedback Control by : Dingyu Xue

Download or read book Linear Feedback Control written by Dingyu Xue and published by SIAM. This book was released on 2007-01-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses analysis and design techniques for linear feedback control systems using MATLAB® software. By reducing the mathematics, increasing MATLAB working examples, and inserting short scripts and plots within the text, the authors have created a resource suitable for almost any type of user. The book begins with a summary of the properties of linear systems and addresses modeling and model reduction issues. In the subsequent chapters on analysis, the authors introduce time domain, complex plane, and frequency domain techniques. Their coverage of design includes discussions on model-based controller designs, PID controllers, and robust control designs. A unique aspect of the book is its inclusion of a chapter on fractional-order controllers, which are useful in control engineering practice.

Control Theory Tutorial

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Publisher : Springer
ISBN 13 : 3319917072
Total Pages : 112 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Control Theory Tutorial by : Steven A. Frank

Download or read book Control Theory Tutorial written by Steven A. Frank and published by Springer. This book was released on 2018-05-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mathematical Control Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461205778
Total Pages : 543 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Control Theory by : Eduardo D. Sontag

Download or read book Mathematical Control Theory written by Eduardo D. Sontag and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.