Feedback Systems: An Introduction for Scientists and EngineersThis 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 selfcontained 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 controloriented 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 onevolume resource for students and researchers in mathematics, engineering, and the sciences.

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Contents
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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Feedback Systems: An Introduction for Scientists and Engineers Karl Johan Aström,Richard M. Murray No preview available  2008 