BASIS TUTORIAL FOR THE USE OF SIMULINK

Short Description
equations in Simulink. The first example is a low-pass RC Circuit that is … case of the first-order model; this can be done in Simulink by using a Gain …

Website: faculty.uml.edu | Filesize: 214kb

Content
MODELING FIRST AND SECOND ORDER SYSTEMS IN SIMULINK
First and second order differential equations are commonly studied in Dynamic Systems courses, as they occur frequently in practice. Because of this, we will discuss the basics of modeling these equations in Simulink. The first example is a low-pass RC Circuit that is often used as a filter. This is modeled using a first-order differential equation. The second example is a mass-spring-dashpot system. This system is modeled with a second-order differential equation (equation of motion). To better understand the dynamics of both of these systems were are going to build models using Simulink as discussed below. You should build both models first, then run them so you can compare how each system responds to the same input.
Modeling a First Order Equation (RC Circuit)
The RC Circuit is schematically shown in Fig. 1 below. RCVin Vout
Fig. 1. The RC Circuit.
The differential equation for this is as show in (1) below.
[x)t(fRC1x.=& ]
(
1)
Where (xdot) is the time rate of change of the output voltage, R and C are constants, f(t) is the forcing function (…

Get the file Download here