Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Hendricks, Elbert
Titre(s) : Linear systems control [Texte électronique] : deterministic and stochastic methods / Elbert Hendricks, Ole Jannerup, Paul Haase Sørensen
Publication : Berlin : Springer, cop. 2008
Description matérielle : 1 online resource (xx, 555 pages)
Note(s) : Includes bibliographical references (pages 547-548) and index. - Print version record.
Modern control theory and in particular state space or state variable methods can
be adapted to the description of many different systems because it depends strongly
on physical modeling and physical intuition. The laws of physics are in the form of
differential equations and for this reason, this book concentrates on system descriptions
in this form. This means coupled systems of linear or nonlinear differential equations.
The physical approach is emphasized in this book because it is most natural for complex
systems. It also makes what would ordinarily be a difficult mathematical subject into
one which can straightforwardly be understood intuitively and which deals with concepts
which engineering and science students are already familiar. In this way it is easy
to immediately apply the theory to the understanding and control of ordinary systems.
Application engineers, working in industry, will also find this book interesting and
useful for this reason. In line with the approach set forth above, the book first
deals with the modeling of systems in state space form. Both transfer function and
differential equation modeling methods are treated with many examples. Linearization
is treated and explained first for very simple nonlinear systems and then more complex
systems. Because computer control is so fundamental to modern applications, discrete
time modeling of systems as difference equations is introduced immediately after the
more intuitive differential equation models. The conversion of differential equation
models to difference equations is also discussed at length, including transfer function
formulations. A vital problem in modern control is how to treat noise in control systems.
Nevertheless this question is rarely treated in many control system textbooks because
it is considered to be too mathematical and too difficult in a second course on controls.
In this textbook a simple physical approach is made to the description of noise and
stochastic disturbances which is easy to understand and apply to common systems. This
requires only a few fundamental statistical concepts which are given in a simple introduction
which lead naturally to the fundamental noise propagation equation for dynamic systems,
the Lyapunov equation. This equation is given and exemplified both in its continuous
and discrete time versions. With the Lyapunov equation available to describe state
noise propagation, it is a very small step to add the effect of measurements and measurement
noise. This gives immediately the Riccati equation for optimal state estimators or
Kalman filters. These important observers are derived and illustrated using simulations
in terms which make them easy to understand and easy to apply to real systems. The
use of LQR regulators with Kalman filters give LQG (Linear Quadratic Gaussian) regulators
which are introduced at the end of the book. Another important subject which is introduced
is the use of Kalman filters as parameter estimations for unknown parameters. The
textbook is divided into 7 chapters, 5 appendices, a table of contents, a table of
examples, extensive index and extensive list of references. Each chapter is provided
with a summary of the main points covered and a set of problems relevant to the material
in that chapter. Moreover each of the more advanced chapters (3 - 7) are provided
with notes describing the history of the mathematical and technical problems which
lead to the control theory presented in that chapter. Continuous time methods are
the main focus in the book because these provide the most direct connection to physics.
This physical foundation allows a logical presentation and gives a good intuitive
feel for control system construction. Nevertheless strong attention is also given
to discrete time systems. Very few proofs are included in the book but most of the
important results are derived. This method of presentation makes the text very readable
and gives a good foundation for reading more rigorous texts. A complete set of solutions
is available for all of the problems in the text. In addition a set of longer exercises
is available for use as Matlab/Simulink {u2018}laboratory exercises{u2019} in connection
with lectures. There is material of this kind for 12 such exercises and each exercise
requires about 3 hours for its solution. Full written solutions of all these exercises
are available
Autre(s) auteur(s) : Jannerup, O. E.. Fonction indéterminée
Sørensen, Paul Haase. Fonction indéterminée
Sujet(s) : Commande linéaire
Systèmes linéaires -- Modèles mathématiques
Commande automatique
Systèmes linéaires
Ingénierie
Indice(s) Dewey :
629.832 (23e éd.) = Systèmes linéaires (technique de la commande automatique)
Identifiants, prix et caractéristiques : ISBN 9783540784869
Identifiant de la notice : ark:/12148/cb44696463c
Notice n° :
FRBNF44696463
(notice reprise d'un réservoir extérieur)
Table des matières : State Space Modelling of Physical Systems ; Analysis of State Space Models ; Linear
Control System Design ; Optimal Control ; Noise in Dynamic Systems ; Optimal Observers:
Kalman Filters.