"Feedback Systems: An Introduction for Scientists and Engineers" by Karl Johan Åström and Richard M. Murray, Second Edition

The essential introduction to the principles and applications of feedback systems — now fully revised and expanded.

This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications 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.

Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback
Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots
Provides exercises at the end of every chapter
Comes with an electronic solutions manual
An ideal textbook for undergraduate and graduate students
Indispensable for researchers seeking a self-contained resource on control theory

Contents
Preface to the Second Edition
Preface to the First Edition
1 Introduction
2 Feedback Principles
3 System Modeling
4 Examples
5 Dynamic Behavior
6 Linear Systems
7 State Feedback
8 Output Feedback
9 Transfer Functions
10 Frequency Domain Analysis
11 PID Control
12 Frequency Domain Design
13 Robust Performance
14 Fundamental Limits
15 Architecture and System Design
Bibliography
Index

Karl Johan Åström is senior professor of automatic control at Lund University in Sweden. His books include Adaptive Control, Introduction to Stochastic Control Theory, and Computer-Controlled systems.
Richard M. Murray is the Thomas E. and Doris Everhart Professor of Control and Dynamical Systems and Bioengineering at the California Institute of Technology. He is the coauthor of A Mathematical Introduction to Robotic Manipulation.