Singular Perturbation Approach to Nonlinear Control System Design and Their Applications


Design of Nonlinear Control Systems with the Highest Derivative in Feedback

Valery D. Yurkevich

World Scientific Publishing Co., 2004, 352 p.

ISBN: 981-238-899-0

E-mail: yurkev@ac.cs.nstu.ru , yurkev@ieee.org

A Student Solutions Manual is prepared to accompany this book 
to develop problem-solving skills. A sampling of 20% of carefully 
worked out problems has been selected to help students understand 
a new methodology of output controller design for nonlinear systems 
in presence of unknown external disturbances and varying parameters 
of the plant.
The Student Solutions Manual can be downloaded by clicking on its title.
(860k, PDF file, Last updated: 1st July, 2007) The solutions manual is accompanied by Matlab-Simulink files for calculations and simulations related with Exercises. The program files provide the student a possibility to make design and easily redesign the discussed control systems in accordance with the desired performance specifications, and make a comparison of simulation results.
A set of Matlab-Simulink files for the Student Solutions Manual can be downloaded by clicking on its title.
(95k, ZIP file, Last updated: 1st July, 2007) This book, along with the student solutions manual, as well as accompanying Matlab-Simulink files are an excellent learning aid for advanced study of real-time control system designing and ones may be used in such course as ``Design of nonlinear control systems'', where prerequisites are ``Linear systems'' and ``Nonlinear systems''. Before book reading it is useful to familiarize with the following article: PI/PID Control for Nonlinear Systems via Singular Perturbation Technique, pp.113-142. WEB-page of World Scientific Publishing Co.

"Advances in PID Control"

Edited by: Valery D. Yurkevich

Publisher: InTech, 2011, 274 p.

ISBN: 978-953-307-267-8


Chapter 7: PI/PID Control for Nonlinear Systems via Singular Perturbation Technique, pp.113-142.


Design of Two-Time-Scale Non-linear Time-varying Control Systems

Valery D. Yurkevich

St.-Peterburg: Nauka, 2000. 287 p. (in Russian)

ISBN: 5-02-024936-X

The problems of robust controller design in order to form 
of desired performance indices of output transients for nonlinear 
time-varying systems under conditions of incomplete information about 
varying parameters of the system and external disturbances  
are discussed. The design methods of continuous-time and discrete-time 
controllers for single-input single-output as well as 
multi-input multi-output systems are presented. The developed approach 
to control system design is based on the formation of two-time scale 
motions in the closed loop system. Methods of singularly perturbed 
equations are used to analyse of closed loop system properties. 
There are numerous examples with simulation results and 
test tasks in the book. The book will be useful for researchers, 
engineers, university lecturers and postgraduate students in the 
field of automatic control under uncertainty.
Summary (in Russian).