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 Astrom 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. Astrom 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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