Singular Perturbation Methodology in Control Systems

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Author :
Publisher : IET
ISBN 13 : 9780863411076
Total Pages : 314 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Singular Perturbation Methodology in Control Systems by : Desineni S. Naidu

Download or read book Singular Perturbation Methodology in Control Systems written by Desineni S. Naidu and published by IET. This book was released on 1988 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations).

Singular Perturbation Methods in Control

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Author :
Publisher : SIAM
ISBN 13 : 9781611971118
Total Pages : 386 pages
Book Rating : 4.9/5 (711 download)

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Book Synopsis Singular Perturbation Methods in Control by : Petar Kokotovic

Download or read book Singular Perturbation Methods in Control written by Petar Kokotovic and published by SIAM. This book was released on 1999-01-01 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular perturbations and time-scale techniques were introduced to control engineering in the late 1960s and have since become common tools for the modeling, analysis, and design of control systems. In this SIAM Classics edition of the 1986 book, the original text is reprinted in its entirety (along with a new preface), providing once again the theoretical foundation for representative control applications. This book continues to be essential in many ways. It lays down the foundation of singular perturbation theory for linear and nonlinear systems, it presents the methodology in a pedagogical way that is not available anywhere else, and it illustrates the theory with many solved examples, including various physical examples and applications. So while new developments may go beyond the topics covered in this book, they are still based on the methodology described here, which continues to be their common starting point.

Singular Perturbation Analysis of Discrete Control Systems

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Author :
Publisher : Springer
ISBN 13 : 3540396810
Total Pages : 204 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Singular Perturbation Analysis of Discrete Control Systems by : Desineni S. Naidu

Download or read book Singular Perturbation Analysis of Discrete Control Systems written by Desineni S. Naidu and published by Springer. This book was released on 2006-11-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems

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Author :
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems by : Desineni S. Naidu

Download or read book Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems written by Desineni S. Naidu and published by . This book was released on 1988 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbation Methods for Ordinary Differential Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 1461209773
Total Pages : 234 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Singular Perturbation Methods for Ordinary Differential Equations by : Robert E., Jr. O'Malley

Download or read book Singular Perturbation Methods for Ordinary Differential Equations written by Robert E., Jr. O'Malley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book results from various lectures given in recent years. Early drafts were used for several single semester courses on singular perturbation meth ods given at Rensselaer, and a more complete version was used for a one year course at the Technische Universitat Wien. Some portions have been used for short lecture series at Universidad Central de Venezuela, West Vir ginia University, the University of Southern California, the University of California at Davis, East China Normal University, the University of Texas at Arlington, Universita di Padova, and the University of New Hampshire, among other places. As a result, I've obtained lots of valuable feedback from students and listeners, for which I am grateful. This writing continues a pattern. Earlier lectures at Bell Laboratories, at the University of Edin burgh and New York University, and at the Australian National University led to my earlier works (1968, 1974, and 1978). All seem to have been useful for the study of singular perturbations, and I hope the same will be true of this monograph. I've personally learned much from reading and analyzing the works of others, so I would especially encourage readers to treat this book as an introduction to a diverse and exciting literature. The topic coverage selected is personal and reflects my current opin ions. An attempt has been made to encourage a consistent method of ap proaching problems, largely through correcting outer limits in regions of rapid change. Formal proofs of correctness are not emphasized.

Methods and Applications of Singular Perturbations

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Publisher : Springer Science & Business Media
ISBN 13 : 0387283137
Total Pages : 332 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Methods and Applications of Singular Perturbations by : Ferdinand Verhulst

Download or read book Methods and Applications of Singular Perturbations written by Ferdinand Verhulst and published by Springer Science & Business Media. This book was released on 2006-06-04 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach

Singular Perturbations in Systems and Control

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Publisher : Springer
ISBN 13 : 370912638X
Total Pages : 337 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Singular Perturbations in Systems and Control by : M.D. Ardema

Download or read book Singular Perturbations in Systems and Control written by M.D. Ardema and published by Springer. This book was released on 2014-05-04 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbation Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1441999582
Total Pages : 95 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Singular Perturbation Theory by : Lindsay A. Skinner

Download or read book Singular Perturbation Theory written by Lindsay A. Skinner and published by Springer Science & Business Media. This book was released on 2011-05-11 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems. A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of increasing complexity. Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems.

Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems

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Author :
Publisher : Springer
ISBN 13 : 3319454056
Total Pages : 233 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems by : Chenxiao Cai

Download or read book Finite Frequency Analysis and Synthesis for Singularly Perturbed Systems written by Chenxiao Cai and published by Springer. This book was released on 2016-09-28 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a self-contained collection of recent research findings providing a comprehensive and systematic unified framework for both analysis and synthesis for singularly perturbed systems. It paves the way for the gap between frequency-domain-transfer-function-based results and time-domain-state-space-based results to be bridged. It is divided into three parts focusing on: fundamental background of singular perturbation; general singular perturbation methodologies and time-scale techniques and the theoretical foundation of finite-frequency control; the analysis and synthesis of singularly perturbed systems; and real-world engineering applications implementing the results developed in systems like wind turbines and autonomous-aerial-vehicle hovering. It also presents solutions to analysis and design problems in terms of linear matrix inequalities. Lastly, it provides valuable reference material for researchers who wish to explore the design of controllers for such systems.

Introduction to Singular Perturbations

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Publisher : Elsevier
ISBN 13 : 0323162274
Total Pages : 215 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Introduction to Singular Perturbations by : Robert E. Jr. O'Malley

Download or read book Introduction to Singular Perturbations written by Robert E. Jr. O'Malley and published by Elsevier. This book was released on 2012-12-02 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Singular Perturbations provides an overview of the fundamental techniques for obtaining asymptomatic solutions to boundary value problems. This text explores singular perturbation techniques, which are among the basic tools of several applied scientists. This book is organized into eight chapters, wherein Chapter 1 discusses the method of matched asymptomatic expansions, which has been frequently applied to several physical problems involving singular perturbations. Chapter 2 considers the nonlinear initial value problem to illustrate the regular perturbation method, and Chapter 3 explains how to construct asymptotic solutions for general linear equations. Chapter 4 discusses scalar equations and nonlinear system, whereas Chapters 5 and 6 explain the contrasts for initial value problems where the outer expansion cannot be determined without obtaining the initial values of the boundary layer correction. Chapters 7 and 8 deal with boundary value problem that arises in the study of adiabatic tubular chemical flow reactors with axial diffusion. This monograph is a valuable resource for applied mathematicians, engineers, researchers, students, and readers whose interests span a variety of fields.

Continuous-Time Markov Chains and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1461443466
Total Pages : 442 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Continuous-Time Markov Chains and Applications by : G. George Yin

Download or read book Continuous-Time Markov Chains and Applications written by G. George Yin and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic treatment of singularly perturbed systems that naturally arise in control and optimization, queueing networks, manufacturing systems, and financial engineering. It presents results on asymptotic expansions of solutions of Komogorov forward and backward equations, properties of functional occupation measures, exponential upper bounds, and functional limit results for Markov chains with weak and strong interactions. To bridge the gap between theory and applications, a large portion of the book is devoted to applications in controlled dynamic systems, production planning, and numerical methods for controlled Markovian systems with large-scale and complex structures in the real-world problems. This second edition has been updated throughout and includes two new chapters on asymptotic expansions of solutions for backward equations and hybrid LQG problems. The chapters on analytic and probabilistic properties of two-time-scale Markov chains have been almost completely rewritten and the notation has been streamlined and simplified. This book is written for applied mathematicians, engineers, operations researchers, and applied scientists. Selected material from the book can also be used for a one semester advanced graduate-level course in applied probability and stochastic processes.

Singular Perturbation Analysis of Discrete Control Systems

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Author :
Publisher :
ISBN 13 : 9783662161470
Total Pages : 208 pages
Book Rating : 4.1/5 (614 download)

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Book Synopsis Singular Perturbation Analysis of Discrete Control Systems by : Desineni S. Naidu

Download or read book Singular Perturbation Analysis of Discrete Control Systems written by Desineni S. Naidu and published by . This book was released on 2014-01-15 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems

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Author :
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems by : Desineni S. Naidu

Download or read book Singular Perturbations and Time Scales in the Design of Digital Flight Control Systems written by Desineni S. Naidu and published by . This book was released on 1988 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perturbation Methods

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Publisher : Cambridge University Press
ISBN 13 : 9780521378970
Total Pages : 178 pages
Book Rating : 4.3/5 (789 download)

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Book Synopsis Perturbation Methods by : E. J. Hinch

Download or read book Perturbation Methods written by E. J. Hinch and published by Cambridge University Press. This book was released on 1991-10-25 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.

Perturbation Methods in Optimal Control

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Publisher : Wiley
ISBN 13 : 9780471919940
Total Pages : 588 pages
Book Rating : 4.9/5 (199 download)

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Book Synopsis Perturbation Methods in Optimal Control by : Alain Bensoussan

Download or read book Perturbation Methods in Optimal Control written by Alain Bensoussan and published by Wiley. This book was released on 1988-06-23 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes, analyzes, and generalizes the principal results concerning perturbation methods in optimal control for systems governed by deterministic or stochastic differential equations. Covers the most important theorems in deterministic and stochastic optimal control, the theory of ergodic control, and the use of control, including regular perturbations and singular perturbations.

Singular Perturbations and Asymptotic Analysis in Control Systems

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Author :
Publisher : Springer
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Singular Perturbations and Asymptotic Analysis in Control Systems by : Petar V. Kokotovic

Download or read book Singular Perturbations and Asymptotic Analysis in Control Systems written by Petar V. Kokotovic and published by Springer. This book was released on 1987-02-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbations

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Author :
Publisher : Springer
ISBN 13 : 3319095706
Total Pages : 224 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Singular Perturbations by : Elena Shchepakina

Download or read book Singular Perturbations written by Elena Shchepakina and published by Springer. This book was released on 2014-10-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level. Singularly perturbed systems appear naturally in the modelling of many processes that are characterized by slow and fast motions simultaneously, for example, in fluid dynamics and nonlinear mechanics. This book’s approach consists in separating out the slow motions of the system under investigation. The result is a reduced differential system of lesser order. However, it inherits the essential elements of the qualitative behaviour of the original system. Singular Perturbations differs from other literature on the subject due to its methods and wide range of applications. It is a valuable reference for specialists in the areas of applied mathematics, engineering, physics, biology, as well as advanced undergraduates for the earlier parts of the book, and graduate students for the later chapters.