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Polynomials and Linear Control Systems

Polynomials and Linear Control Systems
Author: Stephen Barnett
Publisher:
Total Pages: 480
Release: 1983
Genre: Mathematics
ISBN:
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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

Linear Control Theory
Author: Shankar P. Bhattacharyya
Publisher: CRC Press
Total Pages: 679
Release: 2018-10-03
Genre: Technology & Engineering
ISBN: 1351837079
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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.

Analysis and Design of Discrete Linear Control Systems

Analysis and Design of Discrete Linear Control Systems
Author: Vladimír Kučera
Publisher: Academia
Total Pages: 496
Release: 1991
Genre: Science
ISBN:
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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

Computational Aspects of Linear Control
Author: Claude Brezinski
Publisher: Springer Science & Business Media
Total Pages: 296
Release: 2013-12-01
Genre: Mathematics
ISBN: 1461302617
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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.

Discrete Linear Control

Discrete Linear Control
Author: Vladimír Kučera
Publisher: John Wiley & Sons
Total Pages: 216
Release: 1979
Genre: Control theory
ISBN:
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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.

Matrix and Polynomial Approach to Dynamic Control Systems

Matrix and Polynomial Approach to Dynamic Control Systems
Author: Dai-Zhan Cheng
Publisher:
Total Pages: 348
Release: 2002
Genre: Automatic control
ISBN: 9787030098733
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"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

Robust Control
Author: Andrzej Bartoszewicz
Publisher: BoD – Books on Demand
Total Pages: 696
Release: 2011-04-11
Genre: Science
ISBN: 9533072296
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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.

Robust Industrial Control Systems

Robust Industrial Control Systems
Author: Michael J. Grimble
Publisher: John Wiley & Sons
Total Pages: 698
Release: 2006-05-01
Genre: Science
ISBN: 0470020741
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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.

Polynomial Methods for Control Systems Design

Polynomial Methods for Control Systems Design
Author: Michael J. Grimble
Publisher: Springer Science & Business Media
Total Pages: 264
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1447110277
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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.

Orthogonal Functions In Systems And Control

Orthogonal Functions In Systems And Control
Author: K B Datta
Publisher: World Scientific
Total Pages: 289
Release: 1995-05-31
Genre: Mathematics
ISBN: 9814501581
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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.