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Book Multivariable Feedback Systems

Download or read book Multivariable Feedback Systems written by F. M. Callier and published by Springer. This book was released on 1982-08-31 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the result of our teaching in the last few years of a first year graduate course on multivariable feedback systems addressed to control engineers. The prerequisites are modest: an undergraduate course in control (for acquaintance with concepts, terms, and design goals) and a senior-graduate course in linear systems. This volume covers lumped linear time-invariant multi-input multi-output systems with strong emphasis on control problems. The purpose is to provide a rapid introduction to some of the main and simpler results of control theory and to provide access to the current literature. Note that our exposition pays particular attention to the time-domain behavior of the systems under study. Note also that we cover neither optimization nor stochastic systems since these topics are treated in separate courses. As is obvious from its abundant literature, multivariable control is a very rapidly developing field. Consequently, we have no expectation that our exposition will become definitive; however, we hope that our efforts will be found useful. To get an idea of the contents, we suggest reading carefully the table of contents and the introduction of the chapters. Roughly, Chapter 1 is an introduction to feedback issues in a multivariable context (desensitization, large gain, singular values, etc. ). Chapters 2 and 3 cover the mathematical tools for handling transfer functions as polynomial-matrix fractions and for studying systems described by polynomial matrices. Chapter 4 uses these tools to cover the general theory of interconnected systems.

Book Short time Stability in Linear Time varying Systems

Download or read book Short time Stability in Linear Time varying Systems written by Peter Dorato and published by . This book was released on 1961 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of short-time stability finds application in missile and satellite systems where operating times are often of finite duration. Short-time stability assures, in a finite time interval, that all inputs bounded by a prescribed constant Greek epsilon result in outputs bounded by a second prescribed constant. The study of short-time stability is divided into two categories: undriven systems and driven systems. Undriven systems are represented by a set of differential equations. Sufficient conditions for short-time stability are given in terms of the coefficients. Driven systems are represented by their impulse response. A necessary and sufficient condition for short-time stability in driven systems is given directly in terms of impulse response. Sufficient conditions for short-time stability in feedback systems, in terms of the open loop impulse response are also included. In addition the concept of shorttime C-equivalence, essentially a structural stability concept, is introduced. Necessary and sufficient conditions for two systems to be short-time C-equivalent are presented. (Author).

Book Continuation Methods for Stability Analysis of Multivariable Feedback Systems

Download or read book Continuation Methods for Stability Analysis of Multivariable Feedback Systems written by Eddy Chieh Huang and published by . This book was released on 1976 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Techniques for implementation of a Nyquist stability result for a linear time invariant multivariable feedback system are described. The approach is based on continuation methods for computing the system's eigenvalue loci. (Author).

Book Linear Multivariable Control

    Book Details:
  • Author : W.M. Wonham
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 1461210828
  • Pages : 349 pages

Download or read book Linear Multivariable Control written by W.M. Wonham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In wntmg this monograph my aim has been to present a "geometric" approach to the structural synthesis of multivariable control systems that are linear, time-invariant and of finite dynamic order. The book is ad dressed to graduate students specializing in control, to engineering scientists involved in control systems research and development, and to mathemati cians interested in systems control theory. The label "geometric" in the title is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometric) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometric prop erties of distinguished state subspaces. Indeed, the geometry was first brought in out of revulsion against the orgy of matrix manipulation which linear control theory mainly consisted of, around fifteen years ago. But secondly and of greater interest, the geometric setting rather quickly sug gested new methods of attacking synthesis which have proved to be intuitive and economical; they are also easily reduced to matrix arithmetic as soon as you want to compute. The essence of the "geometric" approach is just this: instead of looking directly for a feedback law (say u = Fx) which would solve your synthesis problem if a solution exists, first characterize solvability as a verifiable property of some constructible state subspace, say Y. Then, if all is well, you may calculate F from Y quite easily.

Book Robust and Insensitive Design of Multivariable Feedback Systems     Multimodel Design

Download or read book Robust and Insensitive Design of Multivariable Feedback Systems Multimodel Design written by Irmfried Hartmann and published by Vieweg+teubner Verlag. This book was released on 1986 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of this monograph is to present some optimal design methods in a certain sense for obtaining linear multivariable feedback systems such that they become insensitive or robust properties. The treatment is mainly confined to linear time­ invariant discrete systems with the exception of the sections 3.1 and 3.3 in which it was used linear time-invariant conti­ nuous systems. Sensitivity and robust methods for multivariable feedback systems have been extensively studied about the last decade and the successful development has led to a much better under­ standing of the performance of insensitive and robust proce­ dures. The contribution of this monograph is an improved beha­ viour of the feedback systems under the influence of distur­ bance, parameter variations and/or nonlinear effects with new design methods. Furthermore, in chapter 3 the reader finds improved necessary and sufficient conditions for robust stabi­ lity of the closed-loop system. The authors would like to express their thanks to Mrs. Regina Hade, who typed with great patience our manuscript and Mrs. Monika Thieke who drew the figures and symbols very careful.

Book Stability and Control of Linear Systems

Download or read book Stability and Control of Linear Systems written by Andrea Bacciotti and published by Springer. This book was released on 2018-11-02 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced textbook introduces the main concepts and advances in systems and control theory, and highlights the importance of geometric ideas in the context of possible extensions to the more recent developments in nonlinear systems theory. Although inspired by engineering applications, the content is presented within a strong theoretical framework and with a solid mathematical background, and the reference models are always finite dimensional, time-invariant multivariable linear systems. The book focuses on the time domain approach, but also considers the frequency domain approach, discussing the relationship between the two approaches, especially for single-input-single-output systems. It includes topics not usually addressed in similar books, such as a comparison between the frequency domain and the time domain approaches, bounded input bounded output stability (including a characterization in terms of canonical decomposition), and static output feedback stabilization for which a simple and original criterion in terms of generalized inverse matrices is proposed. The book is an ideal learning resource for graduate students of control theory and automatic control courses in engineering and mathematics, as well as a reference or self-study guide for engineers and applied mathematicians.

Book Robustness of Stability Conditions for Linear Time Invariant Feedback Systems

Download or read book Robustness of Stability Conditions for Linear Time Invariant Feedback Systems written by C. A. Desoer and published by . This book was released on 1977 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The robustness of stability conditions for linear time-invariant feedback systems is examined assuming three different types of representations: state-space representation, coprime matrix fraction representation, and transfer function representation. The importance is stressed of certain details of the representation used and, even more, the importance of making sure that the allowed perturbations be relevant to the physical situation under study.

Book Traffic Systems Reviews and Abstracts

Download or read book Traffic Systems Reviews and Abstracts written by United States. Federal Highway Administration and published by . This book was released on 1968 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Stability of Input Output Dynamical Systems

Download or read book The Stability of Input Output Dynamical Systems written by Harris and published by Academic Press. This book was released on 1983-06-24 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Stability of Input-Output Dynamical Systems

Book OAR Cumulative Index of Research Results

Download or read book OAR Cumulative Index of Research Results written by and published by . This book was released on 1967 with total page 1264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Feedback Systems  Input output Properties

Download or read book Feedback Systems Input output Properties written by C.A. Desoer and published by Elsevier. This book was released on 2012-12-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Feedback Systems: Input-output Properties deals with the basic input-output properties of feedback systems. Emphasis is placed on multiinput-multioutput feedback systems made of distributed subsystems, particularly continuous-time systems. Topics range from memoryless nonlinearities to linear systems, the small gain theorem, and passivity. Norms and general theorems are also considered. This book is comprised of six chapters and begins with an overview of a few simple facts about feedback systems and simple examples of nonlinear systems that illustrate the important distinction between the questions of existence, uniqueness, continuous dependence, and boundedness with respect to bounded input and output. The next chapter describes a number of useful properties of norms and induced norms and of normed spaces. Several theorems are then presented, along with the main results concerning linear systems. These results are used to illustrate the applications of the small gain theorem to different classes of systems. The final chapter outlines the framework necessary to discuss passivity and demonstrate the applications of the passivity theorem. This monograph will be a useful resource for mathematically inclined engineers interested in feedback systems, as well as undergraduate engineering students.

Book Multivariable Feedback Systems

Download or read book Multivariable Feedback Systems written by F. M. Callier and published by Springer. This book was released on 1982-09-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the result of our teaching in the last few years of a first year graduate course on multivariable feedback systems addressed to control engineers. The prerequisites are modest: an undergraduate course in control (for acquaintance with concepts, terms, and design goals) and a senior-graduate course in linear systems. This volume covers lumped linear time-invariant multi-input multi-output systems with strong emphasis on control problems. The purpose is to provide a rapid introduction to some of the main and simpler results of control theory and to provide access to the current literature. Note that our exposition pays particular attention to the time-domain behavior of the systems under study. Note also that we cover neither optimization nor stochastic systems since these topics are treated in separate courses. As is obvious from its abundant literature, multivariable control is a very rapidly developing field. Consequently, we have no expectation that our exposition will become definitive; however, we hope that our efforts will be found useful. To get an idea of the contents, we suggest reading carefully the table of contents and the introduction of the chapters. Roughly, Chapter 1 is an introduction to feedback issues in a multivariable context (desensitization, large gain, singular values, etc. ). Chapters 2 and 3 cover the mathematical tools for handling transfer functions as polynomial-matrix fractions and for studying systems described by polynomial matrices. Chapter 4 uses these tools to cover the general theory of interconnected systems.

Book Stability of Linear Time invariant Discrete Systems

Download or read book Stability of Linear Time invariant Discrete Systems written by Felix L. Lam and published by . This book was released on 1970 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Applied Mechanics Reviews

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Multivariable Feedback Control

Download or read book Multivariable Feedback Control written by Sigurd Skogestad and published by John Wiley & Sons. This book was released on 2005-11-04 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems. Focusing on practical feedback control and not on system theory in general, this book provides the reader with insights into the opportunities and limitations of feedback control. Taking into account the latest developments in the field, this fully revised and updated second edition: * features a new chapter devoted to the use of linear matrix inequalities (LMIs); * presents current results on fundamental performance limitations introduced by RHP-poles and RHP-zeros; * introduces updated material on the selection of controlled variables and self-optimizing control; * provides simple IMC tuning rules for PID control; * covers additional material including unstable plants, the feedback amplifier, the lower gain margin and a clear strategy for incorporating integral action into LQG control; * includes numerous worked examples, exercises and case studies, which make frequent use of Matlab and the new Robust Control toolbox. Multivariable Feedback Control: Analysis and Design, Second Edition is an excellent resource for advanced undergraduate and graduate courses studying multivariable control. It is also an invaluable tool for engineers who want to understand multivariable control, its limitations, and how it can be applied in practice. The analysis techniques and the material on control structure design should prove very useful in the new emerging area of systems biology. Reviews of the first edition: "Being rich in insights and practical tips on controller design, the book should also prove to be very beneficial to industrial control engineers, both as a reference book and as an educational tool." Applied Mechanics Reviews "In summary, this book can be strongly recommended not only as a basic text in multivariable control techniques for graduate and undergraduate students, but also as a valuable source of information for control engineers." International Journal of Adaptive Control and Signal Processing