Feedback systems : an introduction for scientists and engineers / Karl Johan Åström, Richard M. Murray.

Includes bibliographical references (pages 377-385) and index.

chapter 1. Introduction. What is feedback? ; What is control? ; Feedback examples ; Feedback properties ; Simple forms of feedback ; Further reading ; Exercises -- chapter 2. System modeling. Modeling concepts ; State space models ; Modeling methodology ; Modeling examples ; Further reading ; Exercises -- chapter 3. Examples. Cruise control ; Bicycle dynamics ; Operational amplifier circuits ; Computing systems and networks ; Atomic force microscopy ; Drug administration ; Population dynamics ; Exercises -- chapter 4. Dynamic behavior. Solving differential equations ; Qualitative analysis ; Stability ; Lyapunov stability analysis ; Parametric and nonlocal behavior ; Further reading ; Exercises -- chapter 5. Linear systems. Basic definitions ; The matrix exponential ; Input/output response ; Linearization ; Further reading ; Exercises -- chapter 6. State feedback. Reachability ; Stabilization by state feedback ; State feedback design ; Integral action ; Further reading ; Exercises. chapter 7. Output feedback. Observability ; State estimation ; Control using estimated state ; Kalman filtering ; A general controller structure ; Further reading ; Exercises -- chapter 8. Transfer functions. Frequency domain modeling ; Derivation of the transfer function ; Block diagrams and transfer functions ; The Bode plot ; Laplace transforms ; Further reading ; Exercises -- chapter 9. Frequency domain analysis. The loop transfer function ; The Nyquist criterion ; Stability margins ; Bode's relations and minimum phase systems ; Generalized notions of gain and phase ; Further reading ; Exercises -- chapter 10. PID control. Basic control functions ; Simple controllers for complex systems ; PID tuning ; Integrator windup ; Implementation ; Further reading ; Exercises -- chapter 11. Frequency domain design. Sensitivity functions ; Feedforward design ; Performance specifications ; Feedback design via loop shaping ; Fundamental limitations ; Design example ; Further reading ; Exercises -- chapter 12. Robust performance. Modeling uncertainty ; Stability in the presence of uncertainty ; Performance in the presence of uncertainty ; Robust pole placement ; Design for robust performance ; Further reading ; Exercises.

An ideal textbook on feedback and control systems for undergraduate and graduate students, this text is an introduction to the mathematical principles and tools needed to model, analyse, and design feedback systems.