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Control Engineering Problems with Solutions

Control Engineering Problems with Solutions
4.8 (47 reviews)
ISBN: 978-87-403-0374-2
1 edition
Pages : 200
Price: Free

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The book contains problems with worked solutions, called examples, and some additional problems for which the answers only are given.

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About the book

  1. Description
  2. Preface
  3. Content
  4. About the Author


The book contains problems with worked solutions, called examples, and some additional problems for which the answers only are given, which cover the two Bookboon textbooks Control Engineering : An introduction with the use of Matlab and An Introduction to Nonlinearity in Control Systems. Although both books contain several worked examples it was felt that a reader would obtain further benefit from having additional ones to read and others to solve on their own. In both books a major emphasis was to show how the use of Matlab together with Simulink could avoid the tedium of doing some calculations, however, there are situations where this may not be possible, such as some student examinations. Thus in this book as well as working out in many cases the examples ‘long hand’, the solutions obtained using Matlab/Simulink are also given.


The purpose of this book is to provide both worked examples and additional problems, with answers only, which cover the contents of the two Bookboon books ‘Control Engineering: An introduction with the use of Matlab’ and ‘An Introduction to Nonlinearity in Control Systems’. Although there was considerable emphasis in both books on the use of Matlab/Simulink, such usage may not always be possible, for example for students taking examinations. Thus in this book there are a large number of problems solved ‘long hand’ as well as by Matlab/Simulink. A major objective is to enable the reader to develop confidence in analytical work by showing how calculations can be checked using Matlab/ Simulink. Further by plotting accurate graphs in Matlab the reader can check approximate sketching methods, for say Nyquist and Bode diagrams, and by obtaining simulation results see the value of approximations used in solving some nonlinear control problems.

I wish to acknowledge the influence of many former students in shaping my thoughts on many aspects of control engineering and in relatively recent years on the use of Matlab. In particular, Professor Dingyu Xue whose enthusiasm for Matlab began when he was a research student and who has been a great source of knowledge and advice for me on its use since that time, and to Dr. Nusret Tan for his assistance and advice on some Matlab routines. I wish to thank the University of Sussex for the facilities they have provided to me in retirement which have been very helpful in writing all three bookboon books and finally to my wife Constance for her love and support over many years.

Derek P. Atherton

University of Sussex


May 2013.


  1. Preface
  2. Introduction
  3. Purpose
  4. Mathematical Models and Block Diagrams
    1. Introduction
    2. Examples
    3. Problems
  5. Transfer Functions and their Time Domain Responses
    1. Introduction
    2. Examples
    3. Problems
  6. Frequency Responses and their Plotting
    1. Introduction
    2. Examples
    3. Problems
  7. Feedback Loop Stability
    1. Introduction c
    2. Examples
    3. Problems
  8. State Space Models and Transformations
    1. Introduction
    2. Examples
    3. Problems
  9. Control System Design
    1. Introduction
    2. Examples
    3. Problems
  10. Phase Plane Analysis
    1. Introduction
    2. Examples
    3. Problems
  11. The Describing Function and Exact Relay Methods
    1. Introduction
    2. Examples
    3. Problems

About the Author

Professor Derek. P. Atherton
BEng, PhD, DSc, CEng, FIET, FIEEE, HonFInstMC,

Derek Atherton studied at the universities of Sheffield ( BEng 1956) and Manchester, obtaining a PhD in 1962 and DSc in 1975 from the latter. He spent the period from 1962 to 1980 teaching and doing research in Canada, first at McMaster University until 1964 and then at the University of New Brunswick. Whilst in Canada he served on several National Research Council committees including the Electrical Engineering Grants Committee.

He took up the post of Professor of Control Engineering at the University of Sussex in 1980 and is currently retired but has an office at the university, gives some lectures, and has the title of Emeritus Professor and Associate Tutor. He has been active with many professional engineering bodies, serving as President of the Institute of Measurement and Control in 1990, President of the IEEE Control Systems Society in 1995, and as a member of the IFAC Council from 1990-96. He was an Editor of the IEE Proceedings on Control Theory and Applications (CTA) for several years until 2007 and was also formerly an editor for the IEE Control Engineering Book Series. He served EPSRC on research panels and as an assessor for research grants for many years and also served as a member of the Electrical Engineering Panel for the Research Assessment Exercise in 1992.

His major research interests are in non-linear control theory, computer aided control system design, simulation and target tracking. He has written four books, is a co-author of two others [1-6] and has published more than 350 papers in Journals and Conference Proceedings. Professor Atherton has given invited lectures in many countries and supervised over 30 Doctoral students.

1. Atherton D P, Nonlinear Control Engineering: Describing Function Analysis and Design. London, Van Nostrand Reinhold, September 1975, 627 pages. (also abridged version) Atherton D P, Nonlinear Control Engineering. Van Nostrand Reinhold, 1982, student edition, 470 pages
2. Atherton D P, Stability of Nonlinear Systems. Research Studies Press, John Wiley,1981, 231 pages
3. Atherton, D.P. Control Engineering. 2009 Bookboon publications at
4. Furuta K, Sano A and Atherton D P State Variable Methods in Automatic Control. John Wiley, 1988, 212 pages.
5. Xue, D , Chen,Y and Atherton,D.P Linear Feedback Control; Analysis and Design with MATLAB SIAM books, Philadelphia, USA, 2007, pp354.
6. Atherton, D.P. An Introduction to Nonlinearity in Control Systems. 2011Bookboon publications at

Derek P. />February 2012

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