Modelling of Simplified Dynamical Systems

✍ Scribed by Edward Layer DSc, PhD (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 2002
• Tongue: English
• Leaves: 176
• Edition: 1
• Category: Library

✦ Synopsis

This book is addressed to scientists, engineers and student of engineering departments, who make use of modelling and computer simulation. Since more and more physical experiments are being replaced by computer simulations the use of mathematical models of various engineering systems has become an especially important area of research. The book is devoted to selected problems of various engineering domains, such as control, electrical engineering or electrical metrology. They are based on different mathematical fields such as matrix theory, differential equations, function approximation with applications in dynamic modelling, methods of simplifying high-order models determining mapping errors of simplified models, their optimization and the synthesis of suitable input signals. The book is easy to read and understand because all the needed mathematical transformations and formula are derived and explained by means of the examples enclosed.

✦ Table of Contents

Front Matter....Pages I-VI
Introduction....Pages 1-2
Mathematical Models....Pages 3-36
System Parameters....Pages 37-42
Model Synthesis....Pages 43-83
Simplification of Models....Pages 84-123
Maximum Mapping Errors....Pages 124-142
Signals Maximising the Integral-Square-Error in the Process of Models Optimisation....Pages 143-163
Back Matter....Pages 165-171

✦ Subjects

Appl.Mathematics/Computational Methods of Engineering;Vibration, Dynamical Systems, Control;Theoretical, Mathematical and Computational Physics;Systems Theory, Control