Control Theory For Linear Systems

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Control Theory for Linear Systems

Harry L. Trentelman,Anton A. Stoorvogel,Malo Hautus
Control Theory for Linear Systems Book PDF

Author : Harry L. Trentelman,Anton A. Stoorvogel,Malo Hautus
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781447103394

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Control Theory for Linear Systems by Harry L. Trentelman,Anton A. Stoorvogel,Malo Hautus Pdf

Control Theory for Linear Systems deals with the mathematical theory of feedback control of linear systems. It treats a wide range of control synthesis problems for linear state space systems with inputs and outputs. The book provides a treatment of these problems using state space methods, often with a geometric flavour. Its subject matter ranges from controllability and observability, stabilization, disturbance decoupling, and tracking and regulation, to linear quadratic regulation, H2 and H-infinity control, and robust stabilization. Each chapter of the book contains a series of exercises, intended to increase the reader's understanding of the material. Often, these exercises generalize and extend the material treated in the regular text.

Linear Control Theory

Frederick Walker Fairman
Linear Control Theory Book PDF

Author : Frederick Walker Fairman
Publisher : John Wiley & Sons
Page : 338 pages
File Size : 53,7 Mb
Release : 1998-06-11
Category : Science
ISBN : 0471974897

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Linear Control Theory by Frederick Walker Fairman Pdf

Incorporating recent developments in control and systems research,Linear Control Theory provides the fundamental theoreticalbackground needed to fully exploit control system design software.This logically-structured text opens with a detailed treatment ofthe relevant aspects of the state space analysis of linear systems.End-of-chapter problems facilitate the learning process byencouraging the student to put his or her skills into practice.Features include: * The use of an easy to understand matrix variational technique todevelop the time-invariant quadratic and LQG controllers * A step-by-step introduction to essential mathematical ideas asthey are needed, motivating the reader to venture beyond basicconcepts * The examination of linear system theory as it relates to controltheory * The use of the PBH test to characterize eigenvalues in the statefeedback and observer problems rather than its usual role as a testfor controllability or observability * The development of model reduction via balanced realization * The employment of the L2 gain as a basis for the development ofthe H??? controller for the design of controllers in the presenceof plant model uncertainty Senior undergraduate and postgraduate control engineering studentsand practicing control engineers will appreciate the insight thisself-contained book offers into the intelligent use of today scontrol system software tools.

Functional Analysis and Control Theory

S. Rolewicz
Functional Analysis and Control Theory Book PDF

Author : S. Rolewicz
Publisher : Springer Science & Business Media
Page : 539 pages
File Size : 40,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401577588

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Functional Analysis and Control Theory by S. Rolewicz Pdf

Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Stability and Control of Linear Systems

Andrea Bacciotti
Stability and Control of Linear Systems Book PDF

Author : Andrea Bacciotti
Publisher : Springer
Page : 189 pages
File Size : 48,7 Mb
Release : 2018-11-02
Category : Technology & Engineering
ISBN : 9783030024055

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Stability and Control of Linear Systems by Andrea Bacciotti Pdf

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.

Linear Systems Theory

Ben M. Chen,Zongli Lin,Yacov Shamash
Linear Systems Theory Book PDF

Author : Ben M. Chen,Zongli Lin,Yacov Shamash
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461220466

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Linear Systems Theory by Ben M. Chen,Zongli Lin,Yacov Shamash Pdf

Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems Toolkit." All results and case studies presented in both the continuous- and discrete-time settings.

Methods of Algebraic Geometry in Control Theory: Part I

Peter Falb
Methods of Algebraic Geometry in Control Theory Part I Book PDF

Author : Peter Falb
Publisher : Springer
Page : 202 pages
File Size : 46,9 Mb
Release : 2018-08-25
Category : Mathematics
ISBN : 9783319980263

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Methods of Algebraic Geometry in Control Theory: Part I by Peter Falb Pdf

"An introduction to the ideas of algebraic geometry in the motivated context of system theory." Thus the author describes his textbook that has been specifically written to serve the needs of students of systems and control. Without sacrificing mathematical care, the author makes the basic ideas of algebraic geometry accessible to engineers and applied scientists. The emphasis is on constructive methods and clarity rather than abstraction. The student will find here a clear presentation with an applied flavor, of the core ideas in the algebra-geometric treatment of scalar linear system theory. The author introduces the four representations of a scalar linear system and establishes the major results of a similar theory for multivariable systems appearing in a succeeding volume (Part II: Multivariable Linear Systems and Projective Algebraic Geometry). Prerequisites are the basics of linear algebra, some simple notions from topology and the elementary properties of groups, rings, and fields, and a basic course in linear systems. Exercises are an integral part of the treatment and are used where relevant in the main body of the text. The present, softcover reprint is designed to make this classic textbook available to a wider audience. "This book is a concise development of affine algebraic geometry together with very explicit links to the applications...[and] should address a wide community of readers, among pure and applied mathematicians." —Monatshefte für Mathematik

Linear Systems and Control

Martin J. Corless,Art Frazho
Linear Systems and Control Book PDF

Author : Martin J. Corless,Art Frazho
Publisher : CRC Press
Page : 368 pages
File Size : 41,6 Mb
Release : 2003-03-27
Category : Mathematics
ISBN : 0203911377

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Linear Systems and Control by Martin J. Corless,Art Frazho Pdf

Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.

Switched Linear Systems

Zhendong Sun
Switched Linear Systems Book PDF

Author : Zhendong Sun
Publisher : Springer Science & Business Media
Page : 303 pages
File Size : 41,8 Mb
Release : 2006-03-30
Category : Technology & Engineering
ISBN : 9781846281310

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Switched Linear Systems by Zhendong Sun Pdf

Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

Linear Systems Theory

João P. Hespanha
Linear Systems Theory Book PDF

Author : João P. Hespanha
Publisher : Princeton University Press
Page : 352 pages
File Size : 42,9 Mb
Release : 2018-02-13
Category : Mathematics
ISBN : 9780691179575

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Linear Systems Theory by João P. Hespanha Pdf

A fully updated textbook on linear systems theory Linear systems theory is the cornerstone of control theory and a well-established discipline that focuses on linear differential equations from the perspective of control and estimation. This updated second edition of Linear Systems Theory covers the subject's key topics in a unique lecture-style format, making the book easy to use for instructors and students. João Hespanha looks at system representation, stability, controllability and state feedback, observability and state estimation, and realization theory. He provides the background for advanced modern control design techniques and feedback linearization and examines advanced foundational topics, such as multivariable poles and zeros and LQG/LQR. The textbook presents only the most essential mathematical derivations and places comments, discussion, and terminology in sidebars so that readers can follow the core material easily and without distraction. Annotated proofs with sidebars explain the techniques of proof construction, including contradiction, contraposition, cycles of implications to prove equivalence, and the difference between necessity and sufficiency. Annotated theoretical developments also use sidebars to discuss relevant commands available in MATLAB, allowing students to understand these tools. This second edition contains a large number of new practice exercises with solutions. Based on typical problems, these exercises guide students to succinct and precise answers, helping to clarify issues and consolidate knowledge. The book's balanced chapters can each be covered in approximately two hours of lecture time, simplifying course planning and student review. Easy-to-use textbook in unique lecture-style format Sidebars explain topics in further detail Annotated proofs and discussions of MATLAB commands Balanced chapters can each be taught in two hours of course lecture New practice exercises with solutions included

Linear Systems Control

Elbert Hendricks,Ole Jannerup,Paul Haase Sørensen
Linear Systems Control Book PDF

Author : Elbert Hendricks,Ole Jannerup,Paul Haase Sørensen
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 40,7 Mb
Release : 2008-10-13
Category : Technology & Engineering
ISBN : 9783540784869

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Linear Systems Control by Elbert Hendricks,Ole Jannerup,Paul Haase Sørensen Pdf

Modern control theory and in particular state space or state variable methods can be adapted to the description of many different systems because it depends strongly on physical modeling and physical intuition. The laws of physics are in the form of differential equations and for this reason, this book concentrates on system descriptions in this form. This means coupled systems of linear or nonlinear differential equations. The physical approach is emphasized in this book because it is most natural for complex systems. It also makes what would ordinarily be a difficult mathematical subject into one which can straightforwardly be understood intuitively and which deals with concepts which engineering and science students are already familiar. In this way it is easy to immediately apply the theory to the understanding and control of ordinary systems. Application engineers, working in industry, will also find this book interesting and useful for this reason. In line with the approach set forth above, the book first deals with the modeling of systems in state space form. Both transfer function and differential equation modeling methods are treated with many examples. Linearization is treated and explained first for very simple nonlinear systems and then more complex systems. Because computer control is so fundamental to modern applications, discrete time modeling of systems as difference equations is introduced immediately after the more intuitive differential equation models. The conversion of differential equation models to difference equations is also discussed at length, including transfer function formulations. A vital problem in modern control is how to treat noise in control systems. Nevertheless this question is rarely treated in many control system textbooks because it is considered to be too mathematical and too difficult in a second course on controls. In this textbook a simple physical approach is made to the description of noise and stochastic disturbances which is easy to understand and apply to common systems. This requires only a few fundamental statistical concepts which are given in a simple introduction which lead naturally to the fundamental noise propagation equation for dynamic systems, the Lyapunov equation. This equation is given and exemplified both in its continuous and discrete time versions. With the Lyapunov equation available to describe state noise propagation, it is a very small step to add the effect of measurements and measurement noise. This gives immediately the Riccati equation for optimal state estimators or Kalman filters. These important observers are derived and illustrated using simulations in terms which make them easy to understand and easy to apply to real systems. The use of LQR regulators with Kalman filters give LQG (Linear Quadratic Gaussian) regulators which are introduced at the end of the book. Another important subject which is introduced is the use of Kalman filters as parameter estimations for unknown parameters. The textbook is divided into 7 chapters, 5 appendices, a table of contents, a table of examples, extensive index and extensive list of references. Each chapter is provided with a summary of the main points covered and a set of problems relevant to the material in that chapter. Moreover each of the more advanced chapters (3 - 7) are provided with notes describing the history of the mathematical and technical problems which lead to the control theory presented in that chapter. Continuous time methods are the main focus in the book because these provide the most direct connection to physics. This physical foundation allows a logical presentation and gives a good intuitive feel for control system construction. Nevertheless strong attention is also given to discrete time systems. Very few proofs are included in the book but most of the important results are derived. This method of presentation makes the text very readable and gives a good foundation for reading more rigorous texts. A complete set of solutions is available for all of the problems in the text. In addition a set of longer exercises is available for use as Matlab/Simulink ‘laboratory exercises’ in connection with lectures. There is material of this kind for 12 such exercises and each exercise requires about 3 hours for its solution. Full written solutions of all these exercises are available.

Linear Control Systems

Branislav Kisacanin,Gyan C. Agarwal
Linear Control Systems Book PDF

Author : Branislav Kisacanin,Gyan C. Agarwal
Publisher : Springer Science & Business Media
Page : 385 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461505532

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Linear Control Systems by Branislav Kisacanin,Gyan C. Agarwal Pdf

Anyone seeking a gentle introduction to the methods of modern control theory and engineering, written at the level of a first-year graduate course, should consider this book seriously. It contains: A generous historical overview of automatic control, from Ancient Greece to the 1970s, when this discipline matured into an essential field for electrical, mechanical, aerospace, chemical, and biomedical engineers, as well as mathematicians, and more recently, computer scientists; A balanced presentation of the relevant theory: the main state-space methods for description, analysis, and design of linear control systems are derived, without overwhelming theoretical arguments; Over 250 solved and exercise problems for both continuous- and discrete-time systems, often including MATLAB simulations; and Appendixes on MATLAB, advanced matrix theory, and the history of mathematical tools such as differential calculus, transform methods, and linear algebra. Another noteworthy feature is the frequent use of an inverted pendulum on a cart to illustrate the most important concepts of automatic control, such as: Linearization and discretization; Stability, controllability, and observability; State feedback, controller design, and optimal control; and Observer design, reduced order observers, and Kalman filtering. Most of the problems are given with solutions or MATLAB simulations. Whether the book is used as a textbook or as a self-study guide, the knowledge gained from it will be an excellent platform for students and practising engineers to explore further the recent developments and applications of control theory.

Introduction to Mathematical Systems Theory

Christiaan Heij,André C.M. Ran,F. van Schagen
Introduction to Mathematical Systems Theory Book PDF

Author : Christiaan Heij,André C.M. Ran,F. van Schagen
Publisher : Springer Science & Business Media
Page : 169 pages
File Size : 40,9 Mb
Release : 2006-12-18
Category : Science
ISBN : 9783764375492

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Introduction to Mathematical Systems Theory by Christiaan Heij,André C.M. Ran,F. van Schagen Pdf

This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering; the focus is on discrete time systems. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.

Mathematical Control Theory

Eduardo D. Sontag
Mathematical Control Theory Book PDF

Author : Eduardo D. Sontag
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 48,6 Mb
Release : 2013-11-21
Category : Mathematics
ISBN : 9781461205777

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Mathematical Control Theory by Eduardo D. Sontag Pdf

Geared primarily to an audience consisting of mathematically advanced undergraduate or beginning graduate students, this text may additionally be used by engineering students interested in a rigorous, proof-oriented systems course that goes beyond the classical frequency-domain material and more applied courses. The minimal mathematical background required is a working knowledge of linear algebra and differential equations. The book covers what constitutes the common core of control theory and is unique in its emphasis on foundational aspects. While covering a wide range of topics written in a standard theorem/proof style, it also develops the necessary techniques from scratch. In this second edition, new chapters and sections have been added, dealing with time optimal control of linear systems, variational and numerical approaches to nonlinear control, nonlinear controllability via Lie-algebraic methods, and controllability of recurrent nets and of linear systems with bounded controls.

Linear Algebra for Control Theory

Paul Van Dooren,Bostwick Wyman
Linear Algebra for Control Theory Book PDF

Author : Paul Van Dooren,Bostwick Wyman
Publisher : Springer Science & Business Media
Page : 203 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461384199

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Linear Algebra for Control Theory by Paul Van Dooren,Bostwick Wyman Pdf

During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as Numerical Linear Algebra, Canonical Forms, Ring-theoretic Methods, Matrix Theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra. This book is suitable for both mathematicians and students.

Control Theory

Torkel Glad,Lennart Ljung
Control Theory Book PDF

Author : Torkel Glad,Lennart Ljung
Publisher : CRC Press
Page : 482 pages
File Size : 50,5 Mb
Release : 2018-10-08
Category : Technology & Engineering
ISBN : 9781482268164

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Control Theory by Torkel Glad,Lennart Ljung Pdf

This is a textbook designed for an advanced course in control theory. Currently most textbooks on the subject either looks at "multivariate" systems or "non-linear" systems. However, Control Theory is the only textbook available that covers both. It explains current developments in these two types of control techniques, and looks at tools for computer-aided design, for example Matlab and its toolboxes. To make full use of computer design tools, a good understanding of their theoretical basis is necessary, and to enable this, the book presents relevant mathematics clearly and simply. The practical limits of control systems are explored, and the relevance of these to control design are discussed. Control Theory is an ideal textbook for final-year undergraduate and postgraduate courses, and the student will be helped by a series of exercises at the end of each chapter. Professional engineers will also welcome it as a core reference.