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 strm 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. strm 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 systemsServes as an introductory textbook for students and a self-contained resource for researchersIncludes exercises at the end of every chapterFeatures an electronic solutions manualOffers techniques applicable across a range of disciplinesRead more
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