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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This book has a sound mathematical background -- the mathematical statements are given with proofs. The prerequisities of the textbook are a course in complex analysis and basic elements of linear algebra and ordinary differential equations. --Zentralblatt MATH
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Combines Mathematical Rigor with Engineering Practice,
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This review is from: A Mathematical Introduction to Control Theory (Series in Electrical and Computer Engineering) (Paperback)
It is difficult to reach a balance between the rigorous mathematical approach and the normal day-to-day engineering oriented appraoch to control application. This book attempts to strike a balance between the mathematics and the engineering. It is intended that the students have had one class in complex analysis and perhaps one in ordinary differential equations. It is aimed at the junior and senior level university students in engineering, particularly electrical engineering.
While providing sufficient mathematical theory to give the student a reasonable background, the book uses MATLAB and the Control System Toolbox as aids in the actual design and analysis. It does not allow MATLAB knowledge to substiture for engineering knowledge. The first seven chapters of the book cover classical control theory, and is probably suited for a one semester class. The next chapters cover an introduction to nonlinear control, modern control, and the control of hybrid systems. The author is a professor at the Jerusalem College of Technology, Israel.
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First Sentence:
Much of this chapter is devoted to describing and deriving some of the properties of the one-sided Laplace transform. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Real Axis Fig, Mathematical Introduction, Example Suppose, Simple Feedback Circuit, Using the Nyquist, Bell Telephone Laboratories, Taking Laplace New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Much of this chapter is devoted to describing and deriving some of the properties of the one-sided Laplace transform. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Real Axis Fig, Mathematical Introduction, Example Suppose, Simple Feedback Circuit, Using the Nyquist, Bell Telephone Laboratories, Taking Laplace New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 5
books:
- Modern Control Theory (3rd Edition) by William L. Brogan in Back Matter
- Calculus and Analytic Geometry (9th Edition) by George B. Thomas in Back Matter
- Optimal Control, 2nd Edition by Frank L. Lewis in Back Matter
- Relay Control Systems by Yakov Z. Tsypkin in Back Matter
- Net Theory and Its Applications by Wai-Kai Chen in Front Matter
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