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Automatic Control Systems - Part II:

Laplace Transform and Time-Domain Analysis


Shih-Min Hsu, Ph.D., P.E.

Course Outline

In recent years, control systems have gained an increasingly important role in the development and advancement of modern civilization and technology. This course should provide a brief review for readers in the control/system engineering profession or serve as an introductory material for readers in a non-control/system engineering profession.

This course begins with the basic tools utilized extensively in Control Systems - block diagrams and transfer functions. Mason's rule, a systematic and algorithmic for solving transfer function of a given system described by its block diagram, is discussed. Part I is concluded with Routh-Hurwitz Stability Criterion (Routh Test). Part II consists of Laplace Transforms and Time-Domain Analysis. A list of Laplace Transform Table is provided for quick reference. The course continues with Root Locus Technique, Nyquist Stability Criterion and Body Plot Technique for determining the system stability.

This course includes a multiple choice quiz at the end, which is designed to enhance the understanding of the course materials.

Course Content

This course is part two of a five-part course on automatic control systems.

The course content is in a PDF file Automatic Control Systems - Part II: Laplace Transform and Time-Domain Analysis. You need to open or download this document to study this course.


[1] Gene F. Franklin, J. David Powell and Abbas Emami-Naeini, Feedback Control of Dynamic Systems - 2nd Edition, Addison Wesley, 1991
[2] Benjamin C. Kuo, Automatic Control Systems - 5th Edition, Prentice-Hall, 1987
[3] John A. Camara, Practice Problems for the Electrical and Computer Engineering PE Exam - 6th Edition, Professional Publications, 2002
[4] NCEES, Fundamentals of Engineering Supplied-Reference Handbook - 6th Edition, 2003

Once you finish studying the above course content you need to take a quiz to obtain the PDH credits.

Take a Quiz

DISCLAIMER: The materials contained in the online course are not intended as a representation or warranty on the part of PDH Center or any other person/organization named herein. The materials are for general information only. They are not a substitute for competent professional advice. Application of this information to a specific project should be reviewed by a registered architect and/or professional engineer/surveyor. Anyone making use of the information set forth herein does so at their own risk and assumes any and all resulting liability arising therefrom.