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

$169.75

or 4 interest-free payments of $42.44 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 $79.00 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 Science Physics Industrial Chemistry & Manufacturing Technologies

Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory

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 Industrial Chemistry & Manufacturing Technologies

Mary Penfold

The true story of the great Australian winemaker, from the bestselling award-winning author of SISTER VIV and MR AND MRS GOULD

Meathead

The Science of Great Barbecue and Grilling

A Man and His Watch

Iconic Watches and Stories from the Men Who Wore Them

Baked to Perfection

Winner of the Fortnum & Mason Food and Drink Awards 2022

French Patisserie

Master Recipes and Techniques from the Ferrandi School of Culinary Arts

Longitude

The Food Lab

Better Home Cooking Through Science

Exactly

How Precision Engineers Created the Modern World

Professional Beauty Therapy

4th Edition - Australia and New Zealand

Ferment For Good

Ancient Foods for the Modern Gut: The Slowest Kind of Fast Food

The Art of Distilling : Revised and Updated

An Enthusiast's Guide to the Artisan Distilling of Whiskey, Vodka, Gin and other Potent Potables

How To Brew

Everything You Need to Know to Brew Great Beer Every Time

Overcoming Synthetic Challenges in Medicinal Chemistry

Mechanistic Insights and Solutions

Better Not Burn Your Toast

The Science of Food and Health

The Science and Culture of Latin American Foods

Harnessing Ingredients for Health

The Everyday Blacksmith

Learn to Forge 55 Simple Projects You'll Use Every Day

Energy-Based Safety

A Scientific Approach to Preventing Serious Injuries and Fatalities (SIFs)

The Complete Modern Blacksmith

Preserving Food without Freezing or Canning

Traditional Techniques Using Salt, Oil, Sugar, Alcohol, Vinegar, Drying, Cold Storage, and Lactic Fermentation

Rare Watches

Explore the World's Most Exquisite Timepieces

Fermentation Revolution

70 Easy Recipes for Kombucha, Kimchi and More

Abstract Textiles

Colour, shape and pattern in textile art

100 Iconic Watches

Steels and High Entropy Alloys

Advances and Applications

This product is categorised by