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 str m 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. str m 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