Modelling of Simplified Dynamical Systems

By: Edward Layer

Write A Review

Hardcover | 12 September 2002

At a Glance

Hardcover
180 Pages

Dimensions(cm)
22.86 x 15.88 x 1.27

Hardcover

$169.00

or 4 interest-free payments of $42.25 with

Ships in 5 to 7 business days

Problems involving synthesis of mathematical models of various physical systems, making use of these models in practice and verifying them qualitatively has - come an especially important area of research since more and more physical - periments are being replaced by computer simulations. Such simulations should make it possible to carry out a comprehensive analysis of the various properties of the system being modelled. Most importantly its dynamic properties can be - dressed in a situation where this would be difficult or even impossible to achieve through a direct physical experiment. To carry out a simulation of a real, phy- cally existing system it is necessary to have its mathematical description; the s- tem being described mathematically by equations, which include certain variables, their derivatives and integrals. If a single independent variable is sufficient in - der to describe the system, then derivatives and integrals with respect to only that variable will appear in the equations. Differentiation of the equation allows the integrals to be eliminated and produces an equation which includes derivatives with respect to only one independent variable i. e. an ordinary differential equation. In practice, most physical systems can be described with sufficient accuracy by linear differential equations with time invariant coefficients. Chapter 2 is devoted to the description of models by such equations, with time as the independent va- able.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $49.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Engineering & Technology Technology in General Engineering in General Mathematics Applied Mathematics Mathematical Modelling Mechanical Engineering & Materials Mechanical Engineering Industrial Chemistry & Manufacturing Technologies Reference, Information & Interdisciplinary Subjects Research & Information

Information theory Cybernetics & Systems Theory Science Physics Classical Mathematics

Other Editions and Formats

Paperback

Published: 5th November 2012

View Product

Introduction	p. 1
Mathematical Models	p. 3
Differential equaions	p. 3
Transfer function	p. 7
State equations	p. 8
Models of standards	p. 16
Examples	p. 22
System Parameters	p. 37
Overshoot	p. 37
Damping factor	p. 38
Half-time	p. 39
Equivalent time delay	p. 39
Time constants	p. 40
Resonance angular frequency	p. 41
Model Synthesis	p. 43
Algebraic polynomials	p. 43
The least squares method	p. 45
Cubic splines	p. 47
Square of frequency response method	p. 51
The Maclaurin series method	p. 53
Multi-inertial models	p. 56
Weighted means method	p. 61
Smoothing functions	p. 66
Kalman filter	p. 68
Examples	p. 70
Simplification of Models	p. 84
The least-squares approximation	p. 85
The Rao-Lamba method	p. 92
Criterion of consistency of model response derivatives at the origin	p. 93
Reduction of state matrix order with selected eigenvalues retained	p. 94
Simpliicaion of models using the Routh table coefficients	p. 99
Simplification of models by means of Routh table and Schwarz matrix	p. 100
Simplificaion of models by comparison of characteristic equation coefficients	p. 106
Examples	p. 107
Maximum Mapping Errors	p. 124
Input signals with one constraint	p. 125
Input signals with two constraints	p. 134
Examples	p. 138
Signals Maximising the Integral-Square-Error in the Process of Models Optimisation	p. 143
Opimisation of models in the case of the high value of primary mapping error. Optimisaion of Butterworth filters	p. 144
Examples	p. 145
Opimisation of models in the case of the small value of primary mapping error	p. 159
Examples	p. 159
References	p. 165
Index	p. 169
Table of Contents provided by Publisher. All Rights Reserved.

Modelling of Simplified Dynamical Systems

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Cybernetics & Systems Theory

Psycho-Cybernetics (Updated and Expanded)

Psycho-cybernetics

Thinking in Systems

A Primer

Advances in Nonlinear Dynamics

Proceedings of the Fourth International Nonlinear Dynamics Conference (NODYCON 2025) , Volume 1

The Laws of Thought

The Quest for a Mathematical Theory of the Mind

Psycho-Cybernetics 365

Thrive and Grow Every Day of the Year

Handbook of Intelligent Robots

Theory, Methods and Applications

An Introduction to Systems Biology

Design Principles of Biological Circuits

Advanced Techniques and Applications of Cybersecurity and Forensics

Emerging Technologies

Computational Intelligence Applications in Cyber Security

The Law of Complex Earth and Outer Space Systems

The Cosmolegal Proposal

Multimodal Biometric Identification System

Case Study of Real-Time Implementation

Nature Inspired Robotics

Data and Model Centric Artificial Intelligence for Industry 5.0

Brain-Inspired AI for Sustainable Development

Knowledge-based Engineering for Innovation

Intelligent Manufacturing Systems

Digitalization of Industrial Production

Handbook of Systems Thinking Methods

Markov Decision Processes and Reinforcement Learning

Fundamentals of Polar, LDPC and Turbo Codes

Including MATLAB, Mathcad and Python Simulations with Desktop Video Lectures

Smart and Connected Health

Applications and Real-World Use Cases

Advanced Architectures and Techniques for Smart Industry

Engineering, Deploying, and Managing Cyber-Physical Production Systems

Wireless Communication Systems

From Fundamentals to 6G

Proceedings of the 3rd International Conference on Mechanical System Dynamics, Volume 3

ICMSD2025

Mathematics of Epidemics on Networks

From Exact to Approximate Models

Artificial Intelligence, Cybersecurity and Game Design

ICAICG 2024, Rajapalayam, India, February 23â"25

This product is categorised by