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 RouthHurwitz 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

Mathematical Preliminaries
Transfer Functions
Feedback An Introduction
The RouthHurwitz Criterion
The Principle of the Argument and Its Consequences
The Root Locus Diagram
Compensation
Some Nonlinear Control Theory
An Introduction to Modern Control
Control of Hybrid Systems
Answers to Selected Exercises