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文件名称: feedback system v3.0.pdf
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 详细说明:第三版的英文原文feedback system:An Introduction for Scientists and Engineers SECOND EDITION Version v3.0i (2018-09-30) Karl Johan °Astr¨om Richard M. Murray 注:自己下载拼合而成Contents Preface to the second edition Preface to the first edition X Chapter 1. Introduction 1.1 Vhat Is feed back? 1-1 1.2 What is Feedforward? 1-4 1.3 What is Control 1. 4 Use of feedback and control 1-6 1.5 Feedback Properties 1-13 1.6 Simple Forms of Feed back 18 1.7 Combining Feedback with Logic l-21 1.8 Control System Architectures 1-24 Further Reading l-28 Exercises 1-28 Chapter 2. Feedback Principles 2.1 Nonlinear Static Models 2.2 Linear Dynamical Models 2.3 Using Feedback to Improve Disturbance Attenuation 2-13 2. 4 Using Feedback to Follow Command Signals 2-17 5 Using Feedback to Provide robustness 2-20 2.6 Positive Feedback 2-24 2.7 Further Reading 2-28 xercises 2-29 Chapter 3. System Modeling 3.1 Modeling Concepts 3- 3.2 State Space models 3-10 3.3 Modeling Methodology 3-22 3. 4 Modeling Examples 3-30 3.5 Further Reading 3-43 Exercises 3-43 CONTENTS Chapter 4. Examples 4-1 4.1 Cruise Contro 4.2 Bicycle dynan 4- 4.3 Operational amplifier Circuits 4-8 4.4 Computing Systems and Networks 4-11 4.5 Atomic Force Microscopy 4-17 4.6 Drug Administration 4-21 4.7 Population dynamics 4-25 E× cerises 4-27 Chapter 5. Dynamic Behavi 5-1 5.1 Solving Differential Equations 5.2 Qualitative analysis 5-4 5.3 Stabil 5. 4 Lyapunov Stability Analysis 5-19 5.5 Parametric and Nonlocal behavior 5.6 Further Readin 5-35 E× excises 5-36 Chapter 6. Linear Systems 6-1 Basic definitions 6-1 6.2 he matiⅸ Exponentia 6-6 6.3 Input /Output Response 6-15 6. 4 Linearization 6-29 6.5 Further Readin 6-35 Exercises 6-35 Chapter 7. State Feedback 7.1 Reachability 7-1 7.2 Stabilization by state Feedback 7. 3 Design Considerations 7-18 7.4 Integral Action 7-25 7.5 Linear Quadratic regulators 7-28 7.6 Further Reading 7-34 Exercises 7-34 Chapter 8. Output Feedback 8-1 8. 1 Observability 8.2 State Estimation 8.3 Control Using Estimated State 8-12 8.4 Kalman Filtering 8-17 8.5 State space Controller design 8-23 8.6 Further Reading 8-32 CONTENTS Exercises 8-33 Chapter 9. Transfer Functions 9-1 9.1 Frequency Domain Modeling 9-1 2 Determining the Transfer Function 9-3 3 Laplace Transforms 9-14 9.4 Block Diagrams and Transfer Functions 9-17 9.5 Zero Frequency Gain, Poles, and Zeros 9-23 9.6 The Bode Plot 9-29 9.7 Further Reading 9-40 Exercis 9-41 Chapter 10. Frequency Domain Analysis 10-1 10. 1 The Loop Transfer Function 10-1 10.2 The Nyquist Criterion 10-4 10.3 Sta bility margins 10-14 10.4 Bode's relations and Minimum Phase systems 10-19 10.5 Generalized notions of gain and phase 10-22 10.6 Further Reading 10-27 Eⅹ excises 10-28 hapter 11. PID Cont 11.1 Basic Control functions 11.2 Simple Controllers for Complex Systems l1-7 113 PID Tuning l1-11 Integral Windup l1-16 11.5 Implementation 11-20 6 Further Reading ll-25 Exercises 1-25 Chapter 12. Frequency Domain Design 12-1 12. 1 Sensitivity functions 12-1 12.2 Performance Specifications 12-6 12.3 Feedback Design via Loop Shaping 12-13 12. 4 Feedforward Design 12-19 12.5 The Root Locus Method 12-25 12.6 Design Example 12-28 12.7 Further Readin g l2-31 Exercises 12-32 Chapter 13. Robust Performance 13-1 13. 1 Modeling Uncertainty 13-1 13.2 Stability in the Presence of Uncertainty 13-7 13. 3 Performance in the presence of uncertainty 13-14 CONTENTS 13. 4 Design for Robust Performance 13-18 3.5 Further Reading 13-27 Xercises 13-28 Chapter 14. Fundamental Limit 141 14.1 Effects of decision decisions 14-1 14.2 Nonlinear effects 14-2 14.3 Bode's Integral formula 14-6 14.4 Gain Crossover Frequency Inequali 14-10 14. The maximum Modulus principle 14-15 14.6 Robust pole placement 14-20 14.7 Further reading 14-26 Exercises 14-26 Chapter 15. Architecture and System Design 15-1 15.1 Introduction 15.2 System and Control Design 15-2 15.3 Top-Down Architectures 15-6 15. 4 Bottom-Up Architectures 15-17 15.5 nteract 15-25 5.6 Adaptation and Learning 15-30 15.7 Control design in Common application fields 15-38 15. 8 Further Readin 15-43 Bibliograph Inde 1-1 Preface to the second edition The second edition of Feedback Systems contains a variety of changes that are based on feedback on the first edition, particularly in its use for introductory courses in control. One of the primary comments from users of the text was that the use of control tools for design purposes occurred only after several chapters analytical tools, leaving the instructor having to try to convince students that the techniques would soon be useful In our own teaching, we find that we often use design examples in the first few weeks of the class and use this to motivate the various techniques that follow. This approach has been particularly useful in engi neering courses, where students are often eager to apply the tools to examples as part of gaining insight into the methods. We also found that universities that have a laboratory component attached to their controls class need to introduce some basic design techniques early, so that students can be implementing control laws in the laboratory in the early weeks of the course To help emphasize this more design-oriented flow, we have added a new chapter on"Feedback Principlesthat illustrates some simple design principles and tools that can be used to show students what types of problems can be solved using feed back. This new chapter uses simple models, simulations, and elementary analysis techniques, so that it should be accessible to students from a variety of engineer ing and scientific backgrounds for courses in which students have already been exposed to the basic ideas of feedback, perhaps in an earlier discipline-specific course, this new chapter can easily be skipped without any loss of continuity We have also rearranged some of the material in the final chapters of the book, moving material on fundamental limits from the chapters on frequency domain design(Chapter ll in the original text, now Chapter 12) and robust performance Chapter 12 in the original text, now Chapter 13)into a separate chapter on funda mental limits( Chapter 14). This new chapter also contains some additional mate- rial on limits imposed by nonlinearities as well as technique for robust pole place Finally, for the electronic versions of the text, we have added a new chapter to the end of the book, focused on control architectures and design Our intention in this chapter is to provide a systems view that describes how control design i integrated into a larger model-based development framework, motivated in part by lting activities with s new chapter we also take the opportunity to present some overview material on"bottoms up " and"top down approaches to control architectures briefly introducing some of the many addi- tional concepts from the field of control that are in widespread use in applications PREFACE In addition to these relatively large changes we have made many other smaller changes based on the feedback we have received from early adopters of the text We have added some material on the routh-Hurwitz criterion and root locus plots to at least serve as "hooks for instructors who wish to cover that material in more detail. We have also made some notational changes throughout, most no tably changing the symbols for disturbance and noise signals to v and w, respec- tively. The notation in the biological examples has also been updated to match the notation used in the textbook by Del Vecchio and Murray [DM14 The electronic version of this text also contains a variety of marginal notes that provide additional information and links to web pages, to enable readers to access supplementary information that may be useful for those interested in more detail. The following symbols in the margin may be used to access supplementary information (A Advanced material with additional details Frequently asked question; additional details available (H Historical information O Link to an external site We are indebted to numerous individuals who have taught out of the text and sent us feedback on changes that would better serve their needs in addition to the many individuals listed in the preface to the first edition, we would like to also thank Kalle Astrom, Karl Bentorp, Constantine Caramanis, Bjorn Olofsson Richard Pates, Clancy Rowley, and Andre Tits for their feedback, insights, and ontribution Karl johan astrom Richard M Murray Lund. Sweden Pasadena California Preface to the first edition This book provides an introduction to the basic principles and tools for the design and analysis of feedback systems. It is intended to serve a diverse audience of scientists and engineers who are interested in understanding and utilizing feedback n physical, biological, information and social systems. We have attempted to keep the mathematical prerequisites to a minimum while being careful not to sacrifice rigor in the process. We have also attempted to make use of examples from a variety of disciplines, illustrating the generality of many of the tools while at the same time showing how they can be applied in specific application domains a major goal of this book is to present a concise and insightful view of the current knowledge in feedback and control systems. The field of control started by teaching everything that was known at the time and, as new knowledge was acquired, additional courses were developed to cover new techniques. A conse quence of this evolution is that introductory courses have remained the same for many years, and it is often necessary to take many individual courses in order to obtain a good perspective on the feld In developing this book, we have at tempted to condense the current knowledge by emphasizing fundamental concepts We believe that it is important to understand why feedback is useful, to know the language and basic mathematics of control and to grasp the key paradigms that have been developed over the past half century. It is also important to be able to solve simple feedback problems using back-of-the-envelope techniques, to recog- nize fundamental limitations and difficult control problems and to have a feel for available design methods This book was originally developed for use in an experimental course at Cal tech involving students from a wide set of backgrounds The course was offered to undergraduates at the junior and senior levels in traditional engineering disciplines as well as first-and second-year graduate students in engineering and science. This latter group included graduate students in biology, computer science and physics Over the course of several years, the text has been classroom tested at Caltech and at Lund University, and the feedback from many students and colleagues has been incorporated to help improve the readability and accessibility of the material Because of its intended audience this book is organized in a slightly unusual fashion compared to many other books on feedback and control. In particular,we introduce a number of concepts in the text that are normally reserved for second year courses on control and hence often not available to students who are not con trol systems majors. This has been done at the expense of certain traditional top icS, which we felt that the astute student could learn independently and are often PREFACE explored through the exercises. Examples of topics that we have included are non inear dynamicS, Ly apunov stability analysis, the matrix exponential, reachability and observability, and fundamental limits of performance and robustness Topics that we have deemphasized include root locus techniques, lead/lag compensation and detailed rules for generating Bode and Nyquist plots by hand Several features of the book are designed to facilitate its dual function as a basic engineering text and as an introduction for researchers in natural, information and social sciences. The bulk of the material is intended to be used regardless of the audience and covers the core principles and tools in the analysis and design of feedback systems. Advanced sections, marked by the dangerous bend"symbol shown here, contain material that requires a slightly more technical background s of the sort that would be expected of senior undergraduates in engineering. A few sections are marked by two dangerous bend symbols and are intended for readers with more specialized backgrounds, identified at the beginning of the section. To limit the length of the text, several standard results and extensions are given in the xercises, with appropriate hints toward their solutions To further augment the printed material contained here, a companion web site has been developed and is available from the publisher's web page http://www.fbsbook.org The web site contains a database of frequently asked questions, supplemental ex amples and exercises, and lecture material for courses based on this text. The mate rial is organized by chapter and includes a summary of the major points in the text as well as links to external resources The web site also contains the source code for many examples in the book, as well as utilities to implement the techniques described in the text. Most of the code was originally written using MATLAB M- files but was also tested with lab view Math Script to ensure compatibility with both packages. Many files can also be run using other scripting languages such Octave, SciLab, SysQuake and Math The first half of the book focuses almost exclusively on state space control sys- tems. We begin in Chapter 3 with a description of modeling of physical, biolog ical and information systems using ordinary differential equations and difference equations. Chapter 4 presents a number of examples in some detail, primarily as a reference for problems that will be used throughout the text. Following this, Chap ter 5 looks at the dynamic behavior of models, including definitions of stability and more complicated nonlinear behavior. We provide advanced sections in this chapter on Lyapunov stability analysis because we find that it is useful in a broad array of applications and is frequently a topic that is not introduced until later in one's studies The remaining three chapters of the first half of the book focus on linear sys tems, beginning with a description of input/output behavior in Chapter 6. In Chap ter 7, we formally introduce feedback systems by demonstrating how state space control laws can be designed. This is followed in Chapter 8 by material on output Chapter numbers reflect those in the second edition
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