Polynomials And Linear Control Systems

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Polynomials and Linear Control Systems

Author : Stephen Barnett
Publisher :
ISBN 13 :
Total Pages : 480 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Polynomials and Linear Control Systems by : Stephen Barnett

Download or read book Polynomials and Linear Control Systems written by Stephen Barnett and published by . This book was released on 1983 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In clear, easy-to-understand language, this volume fulfills two functions: fully developing the properties of polynomials and polynomial matrices, and demonstrating their practical application to the theory of time-invariant linear control systems. By emphasizing relatively simple matrix methods, it makes this information readily accessible to readers from diverse backgrounds. The unique combination of subject matter, problems and examples, depth of coverage, and references make this volume valuable to students and applied mathematicians. Applied mathematicians, electrical engineers, operations researchers, and mathematical economists will find this volume useful.

Linear Control Theory

Author : Shankar P. Bhattacharyya
Publisher : CRC Press
ISBN 13 : 1351837079
Total Pages : 679 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Linear Control Theory by : Shankar P. Bhattacharyya

Download or read book Linear Control Theory written by Shankar P. Bhattacharyya and published by CRC Press. This book was released on 2018-10-03 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: Successfully classroom-tested at the graduate level, Linear Control Theory: Structure, Robustness, and Optimization covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results. The first part of the book develops results relating to the design of PID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty. This section describes several elegant and sharp results, such as Kharitonov’s theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, Hinfinity and l1 optimal control, and associated results. Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the results on robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering.

Discrete Linear Control

Author : Vladimír Kučera
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Discrete Linear Control by : Vladimír Kučera

Download or read book Discrete Linear Control written by Vladimír Kučera and published by John Wiley & Sons. This book was released on 1979 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Good,No Highlights,No Markup,all pages are intact, Slight Shelfwear,may have the corners slightly dented, may have slight color changes/slightly damaged spine.

Analysis and Design of Discrete Linear Control Systems

Author : Vladimír Kučera
Publisher : Academia
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Analysis and Design of Discrete Linear Control Systems by : Vladimír Kučera

Download or read book Analysis and Design of Discrete Linear Control Systems written by Vladimír Kučera and published by Academia. This book was released on 1991 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides advanced and detailed coverage of discrete-time or sampled-data linear control systems, presenting readers with a synthesis of state-space and transfer-function approaches to the design of state regulators and observers, dynamical output feedback and feedforward compensation.

Computational Aspects of Linear Control

Author : Claude Brezinski
Publisher : Springer Science & Business Media
ISBN 13 : 1461302617
Total Pages : 296 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Computational Aspects of Linear Control by : Claude Brezinski

Download or read book Computational Aspects of Linear Control written by Claude Brezinski and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many devices (we say dynamical systems or simply systems) behave like black boxes: they receive an input, this input is transformed following some laws (usually a differential equation) and an output is observed. The problem is to regulate the input in order to control the output, that is for obtaining a desired output. Such a mechanism, where the input is modified according to the output measured, is called feedback. The study and design of such automatic processes is called control theory. As we will see, the term system embraces any device and control theory has a wide variety of applications in the real world. Control theory is an interdisci plinary domain at the junction of differential and difference equations, system theory and statistics. Moreover, the solution of a control problem involves many topics of numerical analysis and leads to many interesting computational problems: linear algebra (QR, SVD, projections, Schur complement, structured matrices, localization of eigenvalues, computation of the rank, Jordan normal form, Sylvester and other equations, systems of linear equations, regulariza tion, etc), root localization for polynomials, inversion of the Laplace transform, computation of the matrix exponential, approximation theory (orthogonal poly nomials, Pad6 approximation, continued fractions and linear fractional transfor mations), optimization, least squares, dynamic programming, etc. So, control theory is also a. good excuse for presenting various (sometimes unrelated) issues of numerical analysis and the procedures for their solution. This book is not a book on control.

Robust Industrial Control Systems

Author : Michael J. Grimble
Publisher : John Wiley & Sons
ISBN 13 : 0470020741
Total Pages : 698 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Robust Industrial Control Systems by : Michael J. Grimble

Download or read book Robust Industrial Control Systems written by Michael J. Grimble and published by John Wiley & Sons. This book was released on 2006-05-01 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robust Industrial Control Systems: Optimal Design Approach for Polynomial Systems presents a comprehensive introduction to the use of frequency domain and polynomial system design techniques for a range of industrial control and signal processing applications. The solution of stochastic and robust optimal control problems is considered, building up from single-input problems and gradually developing the results for multivariable design of the later chapters. In addition to cataloguing many of the results in polynomial systems needed to calculate industrial controllers and filters, basic design procedures are also introduced which enable cost functions and system descriptions to be specified in order to satisfy industrial requirements. Providing a range of solutions to control and signal processing problems, this book: * Presents a comprehensive introduction to the polynomial systems approach for the solution of H_2 and H_infinity optimal control problems. * Develops robust control design procedures using frequency domain methods. * Demonstrates design examples for gas turbines, marine systems, metal processing, flight control, wind turbines, process control and manufacturing systems. * Includes the analysis of multi-degrees of freedom controllers and the computation of restricted structure controllers that are simple to implement. * Considers time-varying control and signal processing problems. * Addresses the control of non-linear processes using both multiple model concepts and new optimal control solutions. Robust Industrial Control Systems: Optimal Design Approach for Polynomial Systems is essential reading for professional engineers requiring an introduction to optimal control theory and insights into its use in the design of real industrial processes. Students and researchers in the field will also find it an excellent reference tool.

Matrix and Polynomial Approach to Dynamic Control Systems

Author : Dai-Zhan Cheng
Publisher :
ISBN 13 : 9787030098733
Total Pages : 348 pages
Book Rating : 4.0/5 (987 download)

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Book Synopsis Matrix and Polynomial Approach to Dynamic Control Systems by : Dai-Zhan Cheng

Download or read book Matrix and Polynomial Approach to Dynamic Control Systems written by Dai-Zhan Cheng and published by . This book was released on 2002 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book introduces a new frame-work, which develops a matrix and polynomial approach to dynamic systems, particularly non-lienar control systems. . . . This new approach will treat dynamic systems and non-linear control problems in a linear way . . ."--Preface, p. v.

Robust Control

Author : Andrzej Bartoszewicz
Publisher : BoD – Books on Demand
ISBN 13 : 9533072296
Total Pages : 696 pages
Book Rating : 4.5/5 (33 download)

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Book Synopsis Robust Control by : Andrzej Bartoszewicz

Download or read book Robust Control written by Andrzej Bartoszewicz and published by BoD – Books on Demand. This book was released on 2011-04-11 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main objective of this monograph is to present a broad range of well worked out, recent theoretical and application studies in the field of robust control system analysis and design. The contributions presented here include but are not limited to robust PID, H-infinity, sliding mode, fault tolerant, fuzzy and QFT based control systems. They advance the current progress in the field, and motivate and encourage new ideas and solutions in the robust control area.

Polynomial Methods for Control Systems Design

Author : Michael J. Grimble
Publisher : Springer Science & Business Media
ISBN 13 : 1447110277
Total Pages : 264 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Polynomial Methods for Control Systems Design by : Michael J. Grimble

Download or read book Polynomial Methods for Control Systems Design written by Michael J. Grimble and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph was motivated by a very successful workshop held before the 3rd IEEE Conference on Decision and Control held at the Buena Vista Hotel, lake Buena Vista, Florida, USA. The workshop was held to provide an overview of polynomial system methods in LQG (or H ) and Hoo optimal control and 2 estimation. The speakers at the workshop were chosen to reflect the important contributions polynomial techniques have made to systems theory and also to show the potential benefits which should arise in real applications. An introduction to H2 control theory for continuous-time systems is included in chapter 1. Three different approaches are considered covering state-space model descriptions, Wiener-Hopf transfer function methods and finally polyno mial equation based transfer function solutions. The differences and similarities between the techniques are explored and the different assumptions employed in the solutions are discussed. The standard control system description is intro duced in this chapter and the use of Hardy spaces for optimization. Both control and estimation problems are considered in the context of the standard system description. The tutorial chapter concludes with a number of fully worked ex amples.

Positive Polynomials in Control

Author : Didier Henrion
Publisher : Springer Science & Business Media
ISBN 13 : 9783540239482
Total Pages : 332 pages
Book Rating : 4.2/5 (394 download)

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Book Synopsis Positive Polynomials in Control by : Didier Henrion

Download or read book Positive Polynomials in Control written by Didier Henrion and published by Springer Science & Business Media. This book was released on 2005-01-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive Polynomials in Control originates from an invited session presented at the IEEE CDC 2003 and gives a comprehensive overview of existing results in this quickly emerging area. This carefully edited book collects important contributions from several fields of control, optimization, and mathematics, in order to show different views and approaches of polynomial positivity. The book is organized in three parts, reflecting the current trends in the area: 1. applications of positive polynomials and LMI optimization to solve various control problems, 2. a mathematical overview of different algebraic techniques used to cope with polynomial positivity, 3. numerical aspects of positivity of polynomials, and recently developed software tools which can be employed to solve the problems discussed in the book.

Orthogonal Functions In Systems And Control

Author : K B Datta
Publisher : World Scientific
ISBN 13 : 9814501581
Total Pages : 289 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Orthogonal Functions In Systems And Control by : K B Datta

Download or read book Orthogonal Functions In Systems And Control written by K B Datta and published by World Scientific. This book was released on 1995-05-31 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and unified approach to the analysis, identification and optimal control of continuous-time dynamical systems via orthogonal polynomials such as Legendre, Laguerre, Hermite, Tchebycheff, Jacobi, Gegenbauer, and via orthogonal functions such as sine-cosine, block-pulse, and Walsh. This is the first book devoted to the application of orthogonal polynomials in systems and control, establishing the superiority of orthogonal polynomials to other orthogonal functions.

Notes

Author : Panos J. Antsaklis
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (756 download)

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Book Synopsis Notes by : Panos J. Antsaklis

Download or read book Notes written by Panos J. Antsaklis and published by . This book was released on 1980 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Polynomial Approach to Linear Algebra

Author : Paul A. Fuhrmann
Publisher : Springer Science & Business Media
ISBN 13 : 1441987347
Total Pages : 368 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Polynomial Approach to Linear Algebra by : Paul A. Fuhrmann

Download or read book A Polynomial Approach to Linear Algebra written by Paul A. Fuhrmann and published by Springer Science & Business Media. This book was released on 2012-10-01 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.

Polynomial Fuzzy Model-Based Control Systems

Author : Hak-Keung Lam
Publisher : Springer
ISBN 13 : 3319340948
Total Pages : 307 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Polynomial Fuzzy Model-Based Control Systems by : Hak-Keung Lam

Download or read book Polynomial Fuzzy Model-Based Control Systems written by Hak-Keung Lam and published by Springer. This book was released on 2016-07-18 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent research on the stability analysis of polynomial-fuzzy-model-based control systems where the concept of partially/imperfectly matched premises and membership-function dependent analysis are considered. The membership-function-dependent analysis offers a new research direction for fuzzy-model-based control systems by taking into account the characteristic and information of the membership functions in the stability analysis. The book presents on a research level the most recent and advanced research results, promotes the research of polynomial-fuzzy-model-based control systems, and provides theoretical support and point a research direction to postgraduate students and fellow researchers. Each chapter provides numerical examples to verify the analysis results, demonstrate the effectiveness of the proposed polynomial fuzzy control schemes, and explain the design procedure. The book is comprehensively written enclosing detailed derivation steps and mathematical derivations also for readers without extensive knowledge on the topics including students with control background who are interested in polynomial fuzzy model-based control systems.

Observability and Controllability of General Linear Systems

Author : Lyubomir T. Gruyitch
Publisher : CRC Press
ISBN 13 : 042977852X
Total Pages : 366 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Observability and Controllability of General Linear Systems by : Lyubomir T. Gruyitch

Download or read book Observability and Controllability of General Linear Systems written by Lyubomir T. Gruyitch and published by CRC Press. This book was released on 2018-10-31 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Observability and Controllability of General Linear Systems treats five different families of the linear systems, three of which are new. The book begins with the definition of time together with a brief description of its crucial properties. It presents further new results on matrices, on polynomial matrices, on matrix polynomials, on rational matrices, and on the new compact, simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept, the proofs of the new necessary and sufficient observability and controllability conditions for all five classes of the studied systems. Features • Generalizes the state space concept and the complex domain fundamentals of the control systems unknown in previously published books by other authors. • Addresses the knowledge and ability necessary to overcome the crucial lacunae of the existing control theory and drawbacks of its applications. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades, completes and broadens the control theory related to the classical self-contained control concepts: observability and controllability. • Provides information necessary to create and teach advanced inherently upgraded control courses.

Discrete Linear Control Systems

Author : V.N. Fomin
Publisher : Springer Science & Business Media
ISBN 13 : 9401132488
Total Pages : 316 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Discrete Linear Control Systems by : V.N. Fomin

Download or read book Discrete Linear Control Systems written by V.N. Fomin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Bt mm ... - si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point alIe.' Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heavisidc Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Theory of Generalized Polynomials with Applications to Linear System Theory

Author : John B. Maroulas
Publisher :
ISBN 13 :
Total Pages : 309 pages
Book Rating : 4.:/5 (117 download)

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Book Synopsis Theory of Generalized Polynomials with Applications to Linear System Theory by : John B. Maroulas

Download or read book Theory of Generalized Polynomials with Applications to Linear System Theory written by John B. Maroulas and published by . This book was released on 1978 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: GENERALISED POLYNOMIALS, LINEAR SYSTEMS, CONTROL SYSTEM ANALYSIS, MATRICES, STABILITY, POLYNOMIAL EQUATIONS, MATRIX METHODS.