"This book is a significant contribution. It provides an accessible treatment for a wide audience who would otherwise have to labor through difficult mathematical or engineering treatments. The only prerequisite is a basic understanding of differential equations and linear algebra."--Brian Ingalls, University of Waterloo

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

Visit Feedback Systems: An Introduction for Scientists and Engineers Download Page

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Hardcover: 424 pages
Author: Karl Johan Astrom, Richard M. Murray
Publisher: Princeton University Press; illustrated edition edition (April 1, 2008)
Language: English
ISBN-10: 0691135762
ISBN-13: 978-0691135762

Preface
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 in 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 tomake 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. ...

Introduction
Feedback is a central feature of life. The process of feedback governs how we grow, respond to stress and challenge, and regulate factors such as body temperature, blood pressure and cholesterol level. The mechanisms operate at every level, from the interaction of proteins in cells to the interaction of organisms in complex ecologies.

M. B. Hoagland and B. Dodson, The Way Life Works, 1995 [99]. In this chapter we provide an introduction to the basic concept of feedback and the related engineering discipline of control.We focus on both historical and current examples, with the intention of providing the context for current tools in feedback and control. Much of the material in this chapter is adapted from [155], and the authors gratefully acknowledge the contributions of Roger Brockett and Gunter Stein to portions of this chapter. ...

About the Author
Karl Johan Astrom 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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