A Mathematical Introduction to Control Theory

Description

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

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