Author: K. Balachandran
Publisher: Alpha Science International, Limited
ISBN: 9781842656976
Category : Mathematics
Languages : en
Pages : 0
Book Description
ELEMENTS OF CONTROL THEORY studies the basic problems like observability, controllability, stability, Lyapunov stability, stabilizability and optimal control for dynamical systems represented by ordinary differential equations in a finite dimensional Euclidean space. The problems are also considered for nonlinear dynamical systems. The contents of the book are so organized as to serve as an introductory level text helping to understand the basic ingredients of control theory. A good number of examples are provided to illustrate the concepts and each chapter is supplemented by a set of exercises for the benefit of the students. The prerequisites are elementary courses in analysis, differential equations and the theory of matrices.
Elements of Control Theory
Author: K. Balachandran
Publisher: Alpha Science International, Limited
ISBN: 9781842656976
Category : Mathematics
Languages : en
Pages : 0
Book Description
ELEMENTS OF CONTROL THEORY studies the basic problems like observability, controllability, stability, Lyapunov stability, stabilizability and optimal control for dynamical systems represented by ordinary differential equations in a finite dimensional Euclidean space. The problems are also considered for nonlinear dynamical systems. The contents of the book are so organized as to serve as an introductory level text helping to understand the basic ingredients of control theory. A good number of examples are provided to illustrate the concepts and each chapter is supplemented by a set of exercises for the benefit of the students. The prerequisites are elementary courses in analysis, differential equations and the theory of matrices.
Publisher: Alpha Science International, Limited
ISBN: 9781842656976
Category : Mathematics
Languages : en
Pages : 0
Book Description
ELEMENTS OF CONTROL THEORY studies the basic problems like observability, controllability, stability, Lyapunov stability, stabilizability and optimal control for dynamical systems represented by ordinary differential equations in a finite dimensional Euclidean space. The problems are also considered for nonlinear dynamical systems. The contents of the book are so organized as to serve as an introductory level text helping to understand the basic ingredients of control theory. A good number of examples are provided to illustrate the concepts and each chapter is supplemented by a set of exercises for the benefit of the students. The prerequisites are elementary courses in analysis, differential equations and the theory of matrices.
Algebraic and Differential Methods for Nonlinear Control Theory
Author: Rafael MartÃnez-Guerra
Publisher: Springer
ISBN: 3030120252
Category : Technology & Engineering
Languages : en
Pages : 201
Book Description
This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.
Publisher: Springer
ISBN: 3030120252
Category : Technology & Engineering
Languages : en
Pages : 201
Book Description
This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, it introduces some elementary concepts of commutative algebra and algebraic geometry which offer a set of tools quite different from the traditional approaches to the subject matter. This text begins with the study of elementary set and map theory. Chapters 2 and 3 on group theory and rings, respectively, are included because of their important relation to linear algebra, the group of invertible linear maps (or matrices) and the ring of linear maps of a vector space. Homomorphisms and Ideals are dealt with as well at this stage. Chapter 4 is devoted to the theory of matrices and systems of linear equations. Chapter 5 gives some information on permutations, determinants and the inverse of a matrix. Chapter 6 tackles vector spaces over a field, Chapter 7 treats linear maps resp. linear transformations, and in addition the application in linear control theory of some abstract theorems such as the concept of a kernel, the image and dimension of vector spaces are illustrated. Chapter 8 considers the diagonalization of a matrix and their canonical forms. Chapter 9 provides a brief introduction to elementary methods for solving differential equations and, finally, in Chapter 10, nonlinear control theory is introduced from the point of view of differential algebra.
Control Theory: Elements of modern control theory
Author: Arthur L. Greensite
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 902
Book Description
Mainly for the aerospace engineer who is concerned with the design of automatic control systems for space vehicles.
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 902
Book Description
Mainly for the aerospace engineer who is concerned with the design of automatic control systems for space vehicles.
Mathematical Control Theory
Author: Jerzy Zabczyk
Publisher: Springer Science & Business Media
ISBN: 9780817647322
Category : Language Arts & Disciplines
Languages : en
Pages : 276
Book Description
In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.
Publisher: Springer Science & Business Media
ISBN: 9780817647322
Category : Language Arts & Disciplines
Languages : en
Pages : 276
Book Description
In a mathematically precise manner, this book presents a unified introduction to deterministic control theory. It includes material on the realization of both linear and nonlinear systems, impulsive control, and positive linear systems.
Control Theory from the Geometric Viewpoint
Author: Andrei A. Agrachev
Publisher: Springer Science & Business Media
ISBN: 9783540210191
Category : Language Arts & Disciplines
Languages : en
Pages : 440
Book Description
This book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint. It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied. Some of the topics treated by the authors are covered in monographic or textbook literature for the first time while others are presented in a more general and flexible setting than elsewhere. Although being fundamentally written for mathematicians, the authors make an attempt to reach both the practitioner and the theoretician by blending the theory with applications. They maintain a good balance between the mathematical integrity of the text and the conceptual simplicity that might be required by engineers. It can be used as a text for graduate courses and will become most valuable as a reference work for graduate students and researchers.
Publisher: Springer Science & Business Media
ISBN: 9783540210191
Category : Language Arts & Disciplines
Languages : en
Pages : 440
Book Description
This book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint. It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied. Some of the topics treated by the authors are covered in monographic or textbook literature for the first time while others are presented in a more general and flexible setting than elsewhere. Although being fundamentally written for mathematicians, the authors make an attempt to reach both the practitioner and the theoretician by blending the theory with applications. They maintain a good balance between the mathematical integrity of the text and the conceptual simplicity that might be required by engineers. It can be used as a text for graduate courses and will become most valuable as a reference work for graduate students and researchers.
Mathematical Control Theory
Author: Eduardo D. Sontag
Publisher: Springer Science & Business Media
ISBN: 1461205778
Category : Mathematics
Languages : en
Pages : 543
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 1461205778
Category : Mathematics
Languages : en
Pages : 543
Book Description
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.
Feedback Control Theory
Author: John Comstock Doyle
Publisher: Dover Books on Electrical Engi
ISBN: 9780486469331
Category : Technology & Engineering
Languages : en
Pages : 0
Book Description
An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.
Publisher: Dover Books on Electrical Engi
ISBN: 9780486469331
Category : Technology & Engineering
Languages : en
Pages : 0
Book Description
An excellent introduction to feedback control system design, this book offers a theoretical approach that captures the essential issues and can be applied to a wide range of practical problems. Its explorations of recent developments in the field emphasize the relationship of new procedures to classical control theory, with a focus on single input and output systems that keeps concepts accessible to students with limited backgrounds. The text is geared toward a single-semester senior course or a graduate-level class for students of electrical engineering. The opening chapters constitute a basic treatment of feedback design. Topics include a detailed formulation of the control design program, the fundamental issue of performance/stability robustness tradeoff, and the graphical design technique of loopshaping. Subsequent chapters extend the discussion of the loopshaping technique and connect it with notions of optimality. Concluding chapters examine controller design via optimization, offering a mathematical approach that is useful for multivariable systems.
Control Theory Tutorial
Author: Steven A. Frank
Publisher: Springer
ISBN: 3319917072
Category : Technology & Engineering
Languages : en
Pages : 112
Book Description
This open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches. Electronic codes for this title can be downloaded from https://extras.springer.com/?query=978-3-319-91707-8
Publisher: Springer
ISBN: 3319917072
Category : Technology & Engineering
Languages : en
Pages : 112
Book Description
This open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches. Electronic codes for this title can be downloaded from https://extras.springer.com/?query=978-3-319-91707-8
Vibration Theory and Applications with Finite Elements and Active Vibration Control
Author: Alan Palazzolo
Publisher: John Wiley & Sons
ISBN: 1118404254
Category : Technology & Engineering
Languages : en
Pages : 973
Book Description
Based on many years of research and teaching, this book brings together all the important topics in linear vibration theory, including failure models, kinematics and modeling, unstable vibrating systems, rotordynamics, model reduction methods, and finite element methods utilizing truss, beam, membrane and solid elements. It also explores in detail active vibration control, instability and modal analysis. The book provides the modeling skills and knowledge required for modern engineering practice, plus the tools needed to identify, formulate and solve engineering problems effectively.
Publisher: John Wiley & Sons
ISBN: 1118404254
Category : Technology & Engineering
Languages : en
Pages : 973
Book Description
Based on many years of research and teaching, this book brings together all the important topics in linear vibration theory, including failure models, kinematics and modeling, unstable vibrating systems, rotordynamics, model reduction methods, and finite element methods utilizing truss, beam, membrane and solid elements. It also explores in detail active vibration control, instability and modal analysis. The book provides the modeling skills and knowledge required for modern engineering practice, plus the tools needed to identify, formulate and solve engineering problems effectively.
Control Theory for Physicists
Author: John Bechhoefer
Publisher: Cambridge University Press
ISBN: 1107001188
Category : Mathematics
Languages : en
Pages : 661
Book Description
Bridging the basics to recent research advances, this is the ideal learning and reference work for physicists studying control theory.
Publisher: Cambridge University Press
ISBN: 1107001188
Category : Mathematics
Languages : en
Pages : 661
Book Description
Bridging the basics to recent research advances, this is the ideal learning and reference work for physicists studying control theory.