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Systems, Structure and Control
Sy ste ms, S tructure an d Co ntro l
Petr Husek
Edited by
I-Tech
IV
Published by In-Teh
In-Teh is Croatian branch of I-Tech Education and Publishing KG, Vienna, Austria.
Abstracting and non-profit use of the material is permitted with credit to the source. Statements and
opinions expressed in the chapters are these of the individual contributors and not necessarily those of
the editors or publisher. No responsibility is accepted for the accuracy of information contained in the
published articles. Publisher assumes no responsibility liability for any damage or injury to persons or
property arising out of the use of any materials, instructions, methods or ideas contained inside. After
this work has been published by the In-Teh, authors have the right to republish it, in whole or part, in
any publication of which they are an author or editor, and the make other personal use of the work.
© 2008 In-teh
www.in-teh.org
Additional copies can be obtained from:
publication@ars-journal.com
First published August 2008
Printed in Croatia
A catalogue record for this book is available from the University Library Rijeka under no. 111221000
System, Structure and Control, Edited by Petr Husek
p. cm.
ISBN 978-953-7619-05-3
1. Systems. 2. Control. I. Petr Husek
Preface
The title of the book System, Structure and Control encompasses broad field of theory
and applications of many different control approaches applied on different classes of dy-
namic systems. Output and state feedback control include among others robust control, op-
timal control or intelligent control methods such as fuzzy or neural network approach, dy-
namic systems are e.g. linear or nonlinear with or without time delay, fixed or uncertain,
onedimensional or multidimensional. The applications cover all branches of human activi-
ties including any kind of industry, economics, biology, social sciences etc. Naturally it is
not purpose of this book in few chapters neither to provide a comprehensive survey of all
the above mentioned disciplines nor to give a detailed study of any of them. Nevertheless,
the following 11 chapters demonstrate that even today after several decades of intensive ef-
fort of many researchers and practitioners the area of control of dynamic systems still brings
new challenging problems and produces solutions of many of them.
The brief outline of the volume is as follows.
In chapter 1 a new method for design of state-derivative feedback control of linear sys-
tems is presented. State–derivative feedback can be considered as a generalization of classi-
cal state feedback in those applications where state derivative is easier to obtain then the di-
rect state, e.g. in vibration attenuation control of many mechanical systems including car
suspension systems, bridge cables or landing gear components. In the contribution an exten-
sion of known methods for descriptor systems with polytopic parameter uncertainty is pre-
sented.
Chapter 2 is concerned with the problem of stability analysis of linear systems with time
delays. Such systems naturally occur very often, e.g. in network control or remote control
via satellite. Time-delayed systems are of great interest for many decades but still many
questions remain unanswered or achieved results are too conservative. Here an improved
time-domain delay-dependent (i.e. taking into account the magnitude of time delay) ap-
proach result for both continuous and discrete time systems is presented. The obtained re-
sult is also applied on stability analysis of large scale systems.
The problem of state observation of nonlinear systems using differential neural network
is addressed in chapter 3. State observation is very important in those applications where we
would like to use the advantages of state feedback but the states are not accessible. Many
different techniques have been already used to solve the problem. In the contribution ap-
proximation properties of a class of dynamic neural networks are used for state observation
of uncertain nonlinear systems affected by bounded external perturbations.
In chapter 4 sliding mode control is designed and applied on control of electric power
systems. Such systems are modeled as complex large-scale systems which are difficult to
control. Sliding mode control is one of the most used and effective control approaches to
nonlinear systems, especially when disturbances and parameter variations are present. In
the contribution combination of block control, integral sliding control and nested sliding
mode control is applied.

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