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The subject of the book is to present the modeling, parameter
estimation and other aspects of the identification of nonlinear
dynamic systems. The treatment is restricted to the input-output
modeling approach. Because of the widespread usage of digital
computers discrete time methods are preferred. Time domain
parameter estimation methods are dealt with in detail, frequency
domain and power spectrum procedures are described shortly. The
theory is presented from the engineering point of view, and a large
number of examples of case studies on the modeling and
identifications of real processes illustrate the methods. Almost
all processes are nonlinear if they are considered not merely in a
small vicinity of the working point. To exploit industrial
equipment as much as possible, mathematical models are needed which
describe the global nonlinear behavior of the process. If the
process is unknown, or if the describing equations are too complex,
the structure and the parameters can be determined experimentally,
which is the task of identification. The book is divided into seven
chapters dealing with the following topics: 1. Nonlinear dynamic
process models 2. Test signals for identification 3. Parameter
estimation methods 4. Nonlinearity test methods 5. Structure
identification 6. Model validity tests 7. Case studies on
identification of real processes Chapter I summarizes the different
model descriptions of nonlinear dynamical systems.
'Et moi, ..., si j"avait su comment en revenir, One service
mathematics bas rendered the je n'y seWs point alit: human race. It
bas put common sense back Jules Verne where it belongs, on the
topmost shelf next to the dusty canister labelled 'discarded non-
The series is divergent; therefore we may be sense'. able to do
something with it. Eric T. Bell o. Heaviside Mathematics is a tool
for thought. A highly necessary tool in a world where both feedback
and non linearities abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sciences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One service topology has rendered
mathematical physics .. .'; 'One service logic has rendered com
puter science .. .'; 'One service category theory has rendered
mathematics .. .'. All arguably true. And all statements obtainable
this way form part of the raison d'etre of this series."
'Et moi, ..., si j"avait su comment en revenir, One service
mathematics bas rendered the je n'y seWs point alit: human race. It
bas put common sense back Jules Verne where it belongs, on the
topmost shelf next to the dusty canister labelled 'discarded non-
The series is divergent; therefore we may be sense'. able to do
something with it. Eric T. Bell o. Heaviside Mathematics is a tool
for thought. A highly necessary tool in a world where both feedback
and non linearities abound. Similarly, all kinds of parts of
mathematics serve as tools for other parts and for other sciences.
Applying a simple rewriting rule to the quote on the right above
one finds such statements as: 'One service topology has rendered
mathematical physics .. .'; 'One service logic has rendered com
puter science .. .'; 'One service category theory has rendered
mathematics .. .'. All arguably true. And all statements obtainable
this way form part of the raison d'etre of this series."
The subject of the book is to present the modeling, parameter
estimation and other aspects of the identification of nonlinear
dynamic systems. The treatment is restricted to the input-output
modeling approach. Because of the widespread usage of digital
computers discrete time methods are preferred. Time domain
parameter estimation methods are dealt with in detail, frequency
domain and power spectrum procedures are described shortly. The
theory is presented from the engineering point of view, and a large
number of examples of case studies on the modeling and
identifications of real processes illustrate the methods. Almost
all processes are nonlinear if they are considered not merely in a
small vicinity of the working point. To exploit industrial
equipment as much as possible, mathematical models are needed which
describe the global nonlinear behavior of the process. If the
process is unknown, or if the describing equations are too complex,
the structure and the parameters can be determined experimentally,
which is the task of identification. The book is divided into seven
chapters dealing with the following topics: 1. Nonlinear dynamic
process models 2. Test signals for identification 3. Parameter
estimation methods 4. Nonlinearity test methods 5. Structure
identification 6. Model validity tests 7. Case studies on
identification of real processes Chapter I summarizes the different
model descriptions of nonlinear dynamical systems.
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