MATLAB: Using ODE Solvers?
This is really a basic question, but this is the first time I've used MATLAB and I'm stuck. I need to simulate a simple series of RC networks using 3 different digital processing techniques. I think I understand how to use the ode solvers, but I have no idea how to enter the differential equation of the system. Do I need to do this through an m file?
It's just a simple RC circuit of the form:
RC dy(t)/dt + y(t) = u(t)
with zero initial conditions. I have values for R, C step length and simulation time, but I don't know how to use MATLAB especially well.
Any help is greatly appreciated!
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You will need a function file that takes t and y as input and gives dy as output. It will be its own file with the following header.
function dy = rigid(t,y)
Save it as rigid.m in the MATLAB path.
From there, you put your differential equation. You now have a function. Here's a simple one:
function dy = rigid(t,y)
dy = sin(t);
In command line or script, you need to execute this function with ODE45
[T,Y] = ode45(@rigid,[0 2*pi],[0]);
This will give you your function (rigid.m) from time 0 to time 2 * pi with an initial y of zero .
Plan this:
plot(T,Y)
More MATLAB documentation can be found here:
http://www.mathworks.com/access/helpdesk/help/techdoc/ref/ode23tb.html
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The Crash Matlab Official Course (PDF Warning) has a section on the ODE solution, as well as many other resources that I found helpful when running Matlab.
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