A Mathematical Introduction to Control Theory (Series in Electrical and Computer Engineering)

A Mathematical Introduction to Control Theory (Series in Electrical and Computer Engineering)

Summary:

Striking a careful balance between mathematical rigor and engineering-oriented applications, this textbook aims to maximize the readers' understanding of both the mathematical and engineering aspects of control theory. The bedrock elements of classical control theory are comprehensively covered: the Routh?Hurwitz theorem and applications, Nyquist diagrams, Bode plots, root locus plots, the design of controllers (phase-lag, phase-lead, lag-lead, and PID), and three further advanced topics: non-linear control, modern control and discrete-time control. A Mathematical Introduction to Control Theory will be an invaluable book for junior and senior level university students in engineering, particularly electrical engineering. Students with a good knowledge of algebra and complex variables will also find many interesting applications in this volume.



Table of Contents:

1. Mathematical preliminaries –
2. Transfer functions –
3. Feedback - an introduction –
4. The Routh-Hurwitz criterion –
5. The principle of the argument and its consequences –
6. The Root Locus diagram –
7. Compensation –
8. Some nonlinear control theory –
9. An introduction to modern control –
10. Control of hybrid systems –
11. Answers to selected exercises