I use this book to assist my graduate study. I think this is an excellent introduction for beginners, especially who expect to learn essentials of feedback control. I would like to begin by introducing the two authors. Both of them are very famous scientist in the field of automatic control. The first author, Dr. Karl Johan Åström, is an emeritus professor of Lund Univ. He is a notable control scientist, who made significant contributions to many control topics such as computer control and adaptive control. The second author, Dr. Richard M. Murray, is a professor of Caltech. Both of them are IEEE Fellow. Please go to Google Scholar to see how many times their original works have been cited to get a clue about their research. While mentioning the authors, I just want to point that they definitely have the ability to write a classic book. Unlike many other textbooks, there are not so much theorems, proofs and math in this book. Beginners need not to have solid mathematics to read this book. In fact, if you are looking for more detailed math in control, this is not a very suitable book, where basic ideas and concepts are key points. However, this book is quite well self-contained. The authors clearly know where the math should be employed and where concepts are more important. We need not to have any other complementary book at hand while reading this book in order to get a relatively complete picture of feedback control. In addition, I would like to talk about the structure of the book. Unlike many other books such as Franklin's Feedback Control of Dynamics Systems, this book places more emphasis on modern control approach (state-space), and some topics in classic control such as Root Locus Method are not mentioned at all. But the frequency domain analysis is still presented. What's more, the state-space approach is introduced before frequency domain approach. Frankly, I love this structure because I prefer state-space to classic approach. Finally, although it is for beginners, I still suggest you have some experience with automatic control because many details are not included. For example, the book does not teach you how to plot a Nyqusit plot by hand in details although there is a subsection about Nyquist plot and Nyquist criterion. I guess this is the reason why some new students feel disappointed to read this book. However, if you have some experience and are still confused by some basic problems, this is the right book. By the way, the notations and words are friendly and concise. An Ideal Textbook On Feedback And Control Systems For Undergraduate And Graduate Students, This Text Is An Introduction To The Mathematical Principles And Tools Needed To Model, Analyse, And Design Feedback Systems. Ch. 1. Introduction. What Is Feedback? ; What Is Control? ; Feedback Examples ; Feedback Properties ; Simple Forms Of Feedback ; Further Reading ; Exercises -- Ch. 2. System Modeling. Modeling Concepts ; State Space Models ; Modeling Methodology ; Modeling Examples ; Further Reading ; Exercises -- Ch. 3. Examples. Cruise Control ; Bicycle Dynamics ; Operational Amplifier Circuits ; Computing Systems And Networks ; Atomic Force Microscopy ; Drug Administration ; Population Dynamics ; Exercises -- Ch. 4. Dynamic Behavior. Solving Differential Equations ; Qualitative Analysis ; Stability ; Lyapunov Stability Analysis ; Parametric And Nonlocal Behavior ; Further Reading ; Exercises -- Ch. 5. Linear Systems. Basic Definitions ; The Matrix Exponential ; Input/output Response ; Linearization ; Further Reading ; Exercises -- Ch. 6. State Feedback. Reachability ; Stabilization By State Feedback ; State Feedback Design ; Integral Action ; Further Reading ; Exercises. Ch. 7. Output Feedback. Observability ; State Estimation ; Control Using Estimated State ; Kalman Filtering ; A General Controller Structure ; Further Reading ; Exercises -- Ch. 8. Transfer Functions. Frequency Domain Modeling ; Derivation Of The Transfer Function ; Block Diagrams And Transfer Functions ; The Bode Plot ; Laplace Transforms ; Further Reading ; Exercises -- Ch. 9. Frequency Domain Analysis. The Loop Transfer Function ; The Nyquist Criterion ; Stability Margins ; Bode's Relations And Minimum Phase Systems ; Generalized Notions Of Gain And Phase ; Further Reading ; Exercises -- Ch. 10. Pid Control. Basic Control Functions ; Simple Controllers For Complex Systems ; Pid Tuning ; Integrator Windup ; Implementation ; Further Reading ; Exercises -- Ch. 11. Frequency Domain Design. Sensitivity Functions ; Feedforward Design ; Performance Specifications ; Feedback Design Via Loop Shaping ; Fundamental Limitations ; Design Example ; Further Reading ; Exercises -- Ch. 12. Robust Performance. Modeling Uncertainty ; Stability In The Presence Of Uncertainty ; Performance In The Presence Of Uncertainty ; Robust Pole Placement ; Design For Robust Performance ; Further Reading ; Exercises. Karl Johan Åström, Richard M. Murray. Includes Bibliographical References (pages 377-385) And Index.
This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It is an ideal textbook for undergraduate and graduate students, and is indispensable for researchers seeking a self-contained reference on control theory. Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems.
Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. They provide exercises at the end of every chapter, and an accompanying electronic solutions manual is available. Feedback Systems is a complete one-volume resource for students and researchers in mathematics, engineering, and the sciences.
- Covers the mathematics needed to model, analyze, and design feedback systems
- Serves as an introductory textbook for students and a self-contained resource for researchers
- Includes exercises at the end of every chapter
- Features an electronic solutions manual
- Offers techniques applicable across a range of disciplines
This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It is an ideal textbook for undergraduate and graduate students, and is indispensable for researchers seeking a self-contained reference on control theory. Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. They provide exercises at the end of every chapter, and an accompanying electronic solutions manual is available. Feedback Systems is a complete one-volume resource for students and researchers in mathematics, engineering, and the sciences. Covers the mathematics needed to model, analyze, and design feedback systems Serves as an introductory textbook for students and a self-contained resource for researchers Includes exercises at the end of every chapter Features an electronic solutions manual Offers techniques applicable across a range of disciplines
