Author: Robert L. Williams, IIPublish On: 2007-02-09

The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation.

Author: Robert L. Williams, II

Publisher: John Wiley & Sons

ISBN: 9780471735557

Category: Technology & Engineering

Page: 480

View: 290

The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area.

Introduction to state-space methods covers feedback control; state-space representation of dynamic systems and dynamics of linear systems; frequency-domain analysis; controllability and observability; shaping the dynamic response; more. ...

Author: Bernard Friedland

Publisher: Courier Corporation

ISBN: 9780486135113

Category: Science

Page: 528

View: 777

Introduction to state-space methods covers feedback control; state-space representation of dynamic systems and dynamics of linear systems; frequency-domain analysis; controllability and observability; shaping the dynamic response; more. 1986 edition.

[1] Jean Jacques E. Slotine and Weiping Li, Applied Non-Linear Control, Pearson
, 1991. 31, 62 [2] Hassan K. Khalil, Non-Linear Systems, Pearson, 2001. 31, 62 [3
] Katsuhiko Ogata, State Space Analysis of Control System, Prentice Hall, 1967.

Author: Farzin Asadi

Publisher: Morgan & Claypool Publishers

ISBN: 9781681739793

Category: Technology & Engineering

Page: 169

View: 784

These days, nearly all the engineering problem are solved with the aid of suitable computer packages. This book shows how MATLAB/Simulink could be used to solve state-space control problems. In this book, it is assumed that you are familiar with the theory and concepts of state-space control, i.e., you took or you are taking a course on state-space control system and you read this book in order to learn how to solve state-space control problems with the aid of MATLAB/Simulink. The book is composed of three chapters. Chapter 1 shows how a state-space mathematical model could be entered into the MATLAB/Simulink environment. Chapter 2 shows how a nonlinear system could be linearized around the desired operating point with the aid of tools provided by MATLAB/Simulink. Finally, Chapter 3 shows how a state-space controller could be designed with the aid MATLAB and be tested with Simulink. The book will be useful for students and practical engineers who want to design a state-space control system.

The Essentials of Linear State-Space Systems will provide you with an introduction to the dynamical systems using state-space models in a readable, accessible format.

Author: J. Dwight Aplevich

Publisher: John Wiley & Sons Incorporated

ISBN: UCSC:32106015444380

Category: Science

Page: 299

View: 655

The Essentials of Linear State-Space Systems will provide you with an introduction to the dynamical systems using state-space models in a readable, accessible format. The author's primary objectives are: (1) to give a thorough introduction to the modelling and analysis required by simulation and later design work in control systems, electric power systems and communications; and (2) to review and solidify the knowledge of linear algebra, differential equations, and transforms that typically have been studied previously but perhaps used little. Models and properties of general nonlinear systems are introduced, but the detailed analysis concentrates on linear, time-invariant (LTI) systems. Discrete-time and continuous-time systems are given equal coverage. Aplevich also provides you with numerous examples, comments, and problems to reinforce basic concepts as well as to mention issues involved in implementing the theory using modern software.

This book also: Presents and formulates the robustness problem in a linear state space model framework Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical ...

Author: Rama K. Yedavalli

Publisher: Springer Science & Business Media

ISBN: 9781461491323

Category: Technology & Engineering

Page: 204

View: 438

This textbook aims to provide a clear understanding of the various tools of analysis and design for robust stability and performance of uncertain dynamic systems. In model-based control design and analysis, mathematical models can never completely represent the “real world” system that is being modeled, and thus it is imperative to incorporate and accommodate a level of uncertainty into the models. This book directly addresses these issues from a deterministic uncertainty viewpoint and focuses on the interval parameter characterization of uncertain systems. Various tools of analysis and design are presented in a consolidated manner. This volume fills a current gap in published works by explicitly addressing the subject of control of dynamic systems from linear state space framework, namely using a time-domain, matrix-theory based approach. This book also: Presents and formulates the robustness problem in a linear state space model framework. Illustrates various systems level methodologies with examples and applications drawn from aerospace, electrical and mechanical engineering. Provides connections between lyapunov-based matrix approach and the transfer function based polynomial approaches. Robust Control of Uncertain Dynamic Systems: A Linear State Space Approach is an ideal book for first year graduate students taking a course in robust control in aerospace, mechanical, or electrical engineering.

This book addresses two primary deficiencies in the linear systems textbook market: a lack of development of state space methods from the basic principles and a lack of pedagogical focus.

This book addresses two primary deficiencies in the linear systems textbook market: a lack of development of state space methods from the basic principles and a lack of pedagogical focus. The book uses the geometric intuition provided by vector space analysis to develop in a very sequential manner all the essential topics in linear state system theory that a senior or beginning graduate student should know. It does this in an ordered, readable manner, with examples drawn from several areas of engineering. Because it derives state space methods from linear algebra and vector spaces and ties all the topics together with diverse applications, this book is suitable for students from any engineering discipline, not just those with control systems backgrounds and interests. It begins with the mathematical preliminaries of vectors and spaces, then emphasizes the geometric properties of linear operators. It is from this foundation that the studies of stability, controllability and observability, realizations, state feedback, observers, and Kalman filters are derived. There is a direct and simple path from one topic to the next. The book includes both discrete- and continuous-time systems, introducing them in parallel and emphasizing each in appropriate context. Time-varying systems are discussed from generality and completeness, but the emphasis is on time-invariant systems, and only in time-domain; there is no treatment of matrix fraction descriptions or polynomial matrices. Tips for using MATLAB are included in the form of margin notes, which are placed wherever topics with applicable MATLAB commands are introduced. These notes direct the reader to an appendix, where a MATLAB command reference explains command usage. However, an instructor or student who is not interested in MATLAB usage can easily skip these references without interrupting the flow of text.

4 Analysis and Control of Linear Dynamic Systems 4.1 . ... Proportional - integral -
derivative and state - space control algorithms are widely used in dynamic systems to stabilize systems , attain tracking and disturbance attenuation ,
guarantee ...

Author: Sergey E. Lyshevski

Publisher: Springer Science & Business Media

ISBN: 081764203X

Category: Technology & Engineering

Page: 416

View: 716

Dynamics systems (living organisms, electromechanical and industrial systems, chemical and technological processes, market and ecology, and so forth) can be considered and analyzed using information and systems theories. For example, adaptive human behavior can be studied using automatic feedback control. As an illustrative example, the driver controls a car changing the speed and steer ing wheels using incoming information, such as traffic and road conditions. This book focuses on the most important and manageable topics in applied multivariable control with application to a wide class of electromechanical dynamic systems. A large spectrum of systems, familiar to electrical, mechanical, and aerospace stu dents, engineers, and scholars, are thoroughly studied to build the bridge between theory and practice as well as to illustrate the practical application of control theory through illustrative examples. It is the author's goal to write a book that can be used to teach undergraduate and graduate classes in automatic control and nonlin ear control at electrical, mechanical, and aerospace engineering departments. The book is also addressed to engineers and scholars, and the examples considered allow one to implement the theory in a great variety of industrial systems. The main purpose of this book is to help the reader grasp the nature and significance of multivariable control.

The material found in this text equips students to analyze and design discrete-time (digital) systems and shows how linear algebra and state-space system theory are used to design digital control systems.

Author: Richard J. Vaccaro

Publisher: McGraw-Hill College

ISBN: UOM:39015033342364

Category: Technology & Engineering

Page: 455

View: 900

This text is aimed at senior-level engineering students and can also used by graduate students and practising engineers whose experience has been limited to continuous-time theory and want to see how discrete-time systems are designed and/or have only seen classical design tools and want to learn modern state-space design. The increasing use of digital technology in control and signal processing increases the importance of analysis and synthesis tools for discrete-time sytems. The appropriate tool for studying state-space models of discrete-time systems is linear algebra. Although most students take a course in linear algebra, they are not usually exposed to advanced engineering applications in such a course. The material found in this text equips students to analyze and design discrete-time (digital) systems and shows how linear algebra and state-space system theory are used to design digital control systems.

3.5 Linear State Space Forms To simplify notation, from now on the normalized
and linearized models will be ... one of the two important starting points for all control systems design methods5 and will be used intensively in the following
parts.

Author: Constantine H. HoupisPublish On: 2003-08-14

14.7 STATE-SPACE TRAJECTORIES [6] The definition of stability for a linear
time-invariant (LTI) system is an easy concept to understand. The complete
response to any input contains a particular solution that has the same form as the
input ...

Author: Constantine H. Houpis

Publisher: CRC Press

ISBN: 0203911423

Category: Technology & Engineering

Page: 860

View: 865

Thoroughly classroom-tested and proven to be a valuable self-study companion, Linear Control System Analysis and Design: Fifth Edition uses in-depth explanations, diagrams, calculations, and tables, to provide an intensive overview of modern control theory and conventional control system design. The authors keep the mathematics to a minimum while stressing real-world engineering challenges. Completely updated and packed with student-friendly features, the Fifth Edition presents a wide range of examples using MATLAB® and TOTAL-PC, as well as an appendix listing MATLAB functions for optimizing control system analysis and design. Eighty percent of the problems presented in the previous edition have been revised to further reinforce concepts necessary for current electrical, aeronautical, astronautical, and mechanical applications.

Automatic Control Systems/Robotics Problem Solver,.Research.&.Education.
Association, ... Control System Design: An Introduction to State—Space Methods.
(Dover.Books.on. ... Linear State—Space Control Systems,.John.Wiley.&.Sons,.
Inc.,.

Author: Anastasia Veloni

Publisher: CRC Press

ISBN: 9781351832915

Category: Technology & Engineering

Page: 532

View: 260

Using a practical approach that includes only necessary theoretical background, this book focuses on applied problems that motivate readers and help them understand the concepts of automatic control. The text covers servomechanisms, hydraulics, thermal control, mechanical systems, and electric circuits. It explains the modeling process, introduces the problem solution, and discusses derived results. Presented solutions are based directly on math formulas, which are provided in extensive tables throughout the text. This enables readers to develop the ability to quickly solve practical problems on control systems.

14 STATE - SPACE MODELLING 14.1 INTRODUCTION So far we have
considered SISO linear time - invariant systems which could be dealt with by the
conventional transfer function approach . However , this method is not suitable for
...

Author: ARUN K. GHOSH

Publisher: PHI Learning Pvt. Ltd.

ISBN: 8120331249

Category: Technology & Engineering

Page: 596

View: 876

This book presents comprehensive coverage of linear control systems along with an introduction to digital control systems. It is designed for undergraduate courses in control systems taught in departments of electrical engineering, electronics and instrumentation, electronics and communication, instrumentation and control, and computer science and engineering. The text discusses the important concepts of control systems, transfer functions and system components. It describes system stability, employing the Hurwitz–Routh stability criterion, root locus technique, Bode plot, and polar and Nyquist plots. In addition, this student-friendly book features in-depth coverage of controllers, compensators, state-space modelling and discrete time systems. KEY FEATURES •Includes a brief tutorial on MATLAB in an appendix to help students learn how to use it for the analysis and design of control systems. •Provides an abundance of worked-out examples and review questions culled from university examination papers. •Gives answers to selected chapter-end questions at the end of the book.

1 Introduction This chapter introduces the state space methods used in control systems ; it is an approach deeply rooted in the techniques of differential
equations , linear algebra , and physics . The Webster ' s Ninth College
Dictionary ( 12 ) ...

Author: William S. Levine

Publisher: CRC Press

ISBN: 0849300533

Category: Technology & Engineering

Page: 480

View: 973

Sifting through the variety of control systems applications can be a chore. Diverse and numerous technologies inspire applications ranging from float valves to microprocessors. Relevant to any system you might use, the highly adaptable Control System Fundamentals fills your need for a comprehensive treatment of the basic principles of control system engineering. This overview furnishes the underpinnings of modern control systems. Beginning with a review of the required mathematics, major subsections cover digital control and modeling. An international panel of experts discusses the specification of control systems, techniques for dealing with the most common and important control system nonlinearities, and digital implementation of control systems, with complete references. This framework yields a primary resource that is also capable of directing you to more detailed articles and books. This self-contained reference explores the universal aspects of control that you need for any application. Reliable, up-to-date, and versatile, Control System Fundamentals answers your basic control systems questions and acts as an ideal starting point for approaching any control problem.

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.

Author: Harry L. Trentelman

Publisher: Springer Science & Business Media

ISBN: 9781447103394

Category: Technology & Engineering

Page: 389

View: 578

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.

It begins with the background material on linear difference equations and
matrices (Sections 4.1, 4.2, and 4.3). It continues with further examples of the
advantages of the state-space representation of linear systems over their input-
output ...

Author: Branislav Kisačanin

Publisher: Springer Science & Business Media

ISBN: 0306467437

Category: Technology & Engineering

Page: 381

View: 664

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.

In Section 1.1 we briey review some basic concepts and results for linear control systems. Section 1.2 describes some ... During 1950's Rudolf E. Kalman
proposed a state space description for control systems. A set of state variables
were ...

Author: Daizhan Cheng

Publisher: Springer Science & Business Media

ISBN: 9783642115509

Category: Science

Page: 690

View: 676

"Analysis and Design of Nonlinear Control Systems" provides a comprehensive and up to date introduction to nonlinear control systems, including system analysis and major control design techniques. The book is self-contained, providing sufficient mathematical foundations for understanding the contents of each chapter. Scientists and engineers engaged in the field of Nonlinear Control Systems will find it an extremely useful handy reference book. Dr. Daizhan Cheng, a professor at Institute of Systems Science, Chinese Academy of Sciences, has been working on the control of nonlinear systems for over 30 years and is currently a Fellow of IEEE and a Fellow of IFAC, he is also the chairman of Technical Committee on Control Theory, Chinese Association of Automation.

If the dynamics along the pass are described by a (matrix) discrete linear state
equation, it can be shown that stability along ... bounded-output stability of 2D
discrete linear systems described by well known and extensively studied state- space ...

Author: Eric Rogers

Publisher: Springer Science & Business Media

ISBN: 9783540715375

Category: Technology & Engineering

Page: 456

View: 314

After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.

This is followed by the matrix fraction description of the MIMO system, and a
method is developed to find a state space ... The necessary conditions for the
optimal control are then derived and used to develop the linear quadratic (LQ) control ...

Author: Alok Sinha

Publisher: CRC Press

ISBN: 9781420008883

Category: Technology & Engineering

Page: 488

View: 454

Balancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems. Developed as a two-course book, this self-contained text first discusses linear systems, including controllability, observability, and matrix fraction description. Within this framework, the author develops the ideas of state feedback control and observers. He then examines optimal control, stochastic optimal control, and the lack of robustness of linear quadratic Gaussian (LQG) control. The book subsequently presents robust control techniques and derives H∞ control theory from the first principle, followed by a discussion of the sliding mode control of a linear system. In addition, it shows how a blend of sliding mode control and H∞ methods can enhance the robustness of a linear system. By learning the theories and algorithms as well as exploring the examples in Linear Systems: Optimal and Robust Control, students will be able to better understand and ultimately better manage engineering processes and systems.

Chapter 5 Linear Dynamical Systems In this chapter , we consider state space
representations of linear systems of ordinary differential equations with several
inputs and outputs ( MIMO systems ) . As in the SISO case , a linear system arises
...

Author: Uwe Mackenroth

Publisher: Springer Science & Business Media

ISBN: 3540209298

Category: Mathematics

Page: 520

View: 730

Self-contained introduction to control theory that emphasizes on the most modern designs for high performance and robustness. It assumes no previous coursework and offers three chapters of key topics summarizing classical control. To provide readers with a deeper understanding of robust control theory than would be otherwise possible, the text incorporates mathematical derivations and proofs. Includes many elementary examples and advanced case studies using MATLAB Toolboxes.