Feedback Systems: An Introduction for Scientists and Engineers

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Princeton University Press, Apr 12, 2010 - Mathematics - 408 pages

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

 

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Contents

Chapter 1 Introduction
1
Chapter 2 System Modeling
27
Chapter 3 Examples
65
Chapter 4 Dynamic Behavior
95
Chapter 5 Linear Systems
131
Chapter 6 State Feedback
167
Chapter 7 Output Feedback
201
Chapter 8 Transfer Functions
229
Chapter 9 Frequency Domain Analysis
267
Chapter 10 PID Control
293
Chapter 11 Frequency Domain Design
315
Chapter 12 Robust Performance
347
Bibliography
377
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About the author (2010)

Karl Johan Åström is professor of automatic control at the Lund Institute of Technology in Sweden. His books include Adaptive Control. Richard M. Murray is professor of control and dynamical systems at the California Institute of Technology. He is the coauthor of A Mathematical Introduction to Robotic Manipulation.

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