A Mathematical Introduction to Control Theory

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Imperial College Press, Jan 1, 2005 - Mathematics - 350 pages
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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.
  

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Contents

Mathematical Preliminaries
1
Transfer Functions
35
FeedbackAn Introduction
61
The RouthHurwitz Criterion
75
The Principle of the Argument and Its Consequences
91
The Root Locus Diagram
131
Cancellation
159
Compensation
167
Some Nonlinear Control Theory
203
An Introduction to Modern Control
227
Control of Hybrid Systems
251
Answers to Selected Exercises
295
Bibliography
345
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