Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001

5.1 DISCRETE SYSTEM MODELLING WITH EQUATIONS

 

· We can write a differential equation, and then manipulate it to put in terms of time steps of length `T'

 

 

· In review consider how we can approximate derivatives using two/three points on a line.

 

 

· Consider the example,

 

 

 

5.1.1 Getting a Discrete Equation

5.1.2 First Order System Example

5.1.3 Second Order System Example

5.1.4 Example of Dead (Delay) Time