Solving Differential Equations with C

[sdufoo]

Hallo guys, I have to solve a system of Differential equations:

http://picasaweb.google.de/sdufoo/EcuacionesDiferenciales02/photo#5228386949051570594

these are the equations of an induction motor, I have to program it in C because I will use a DSP (ADSP21062) in order to control the torque of the motor. I've read a little bit, and I think that I have to solve the equations using numerical methods, but there a lot of them, and It could be helpful if someone could tell me which method would be better for this case, and if there are some examples to see how do I have to program it.

Thanks

[mac11]

I'm not sure if I understand...
You want your dsp to compute these equations on the fly in order to control the motor?

If so, I don't think it's a good idea to put complex math into a small processor unless you can't get around it. A better idea might be to compute whatever values you need ahead of time and then store them into a table - then just look up a value when you need it.

Is that possible with your application?

[arnaudk]

You have a system of coupled first-order linear inhomogeneous ordinary differential equations. GSL has a library to solve those numerically. Whether you can solve them in real-time in your embedded system depends on your processor; the problem amounts to inverting a 4x4 matrix in the corresponding eigenvalue problem which shouldn't be too tough in principle.

[sdufoo]

Thanks for the ideas, i think that the look-up table won't be so optimal, but i will review the other solution and then I post again the results. Thanks guys!

[sdufoo]

You have a system of coupled first-order linear inhomogeneous ordinary differential equations. GSL has a library to solve those numerically. Whether you can solve them in real-time in your embedded system depends on your processor; the problem amounts to inverting a 4x4 matrix in the corresponding eigenvalue problem which shouldn't be too tough in principle.

Hello, I have an update, I just can use Eulers Method to solve this equations, i've read about Eulers Method, and it isn´t so difficult. Have you a page where I can see an example where they solve the with Eulers method the type of equations that I use? thanks man!