Feedback Systems – Karl Johan Åström , Richard M. Murray – 1st Edition


Winner of the 2011 Harold Chestnut Control Engineering Textbook Prize, International Federation of Automatic Control. This book provides an introduction to the mathematics needed to model, analyze, and design feedback . 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 develops transfer functions through the exponential response of a , and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and .

and Richard Murray use techniques from , science, and operations research to introduce control-oriented modeling. They begin with state space tools for and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the 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 domain, including transfer functions, Nyquist analysis, PID control, domain design, and robustness. They provide exercises at the end of every chapter, and an accompanying electronic is available. is a complete one-volume resource for students and researchers in mathematics, engineering, and the sciences.

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