Polynomials And Linear Control Systems
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| Author | : Stephen Barnett |
| Publisher | : |
| Total Pages | : 480 |
| Release | : 1983 |
| Genre | : Mathematics |
| ISBN | : |
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.
| Author | : Shankar P. Bhattacharyya |
| Publisher | : CRC Press |
| Total Pages | : 679 |
| Release | : 2018-10-03 |
| Genre | : Technology & Engineering |
| ISBN | : 1351837079 |
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.
| Author | : Vladimír Kučera |
| Publisher | : John Wiley & Sons |
| Total Pages | : 216 |
| Release | : 1979 |
| Genre | : Technology & Engineering |
| ISBN | : |
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.
| Author | : Claude Brezinski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 296 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461302617 |
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.
| Author | : Michael J. Grimble |
| Publisher | : John Wiley & Sons |
| Total Pages | : 698 |
| Release | : 2006-05-01 |
| Genre | : Science |
| ISBN | : 0470020741 |
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.
| Author | : Didier Henrion |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 332 |
| Release | : 2005-01-14 |
| Genre | : Technology & Engineering |
| ISBN | : 9783540239482 |
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.
| Author | : Thomas E. Fortmann |
| Publisher | : CRC Press |
| Total Pages | : 768 |
| Release | : 1977-10-01 |
| Genre | : Mathematics |
| ISBN | : 9780824765125 |
| Author | : Dai-Zhan Cheng |
| Publisher | : |
| Total Pages | : 348 |
| Release | : 2002 |
| Genre | : Automatic control |
| ISBN | : 9787030098733 |
"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.
| Author | : K B Datta |
| Publisher | : World Scientific |
| Total Pages | : 289 |
| Release | : 1995-05-31 |
| Genre | : Mathematics |
| ISBN | : 9814501581 |
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.
| Author | : Andrzej Bartoszewicz |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 696 |
| Release | : 2011-04-11 |
| Genre | : Science |
| ISBN | : 9533072296 |
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.
