system of differential equations

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Seba 2011-6-6

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评论： ikhlas 2023-11-3

Hello All,

I am wondering how to solve system of differential equations using simulink?

plz do help me how to make a simulink model.

regards,

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Answer 1

Titus Edelhofer 2011-6-6

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Hi,

you could open the vdp model as a typical second order differential equation. The way to go stays the same when you have a system: put as many integrators per row of your system as you have orders of differentiation, and feed them with the variables that make up the differential equation.

Titus

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Answer 2

Arnaud Miege 2011-6-6

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Write down the equations on paper and then implement them using the various blocks available in Simulink. A tip: it's generally better to start with the highest order derivative and integrate rather than the other way round and differentiates. Have a look at Modeling Best Practises in the Simulink documentation and also at the interactive tutorials on the MathWorks web site.

HTH,

Arnaud

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Answer 3

Seba 2011-7-14

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is it possible to find solution of this system with simulink:

x''(t)+ x'(t)+ z''(t) = 0

x(t)+ x'(t)+ z'(t) + 1 = 0

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Arnaud Miege 2011-7-14

That system does not have a solution. If you differentiate the second equation once more, you have:

x'' = -x' - z''

z'' = -1 - x'' - x'

If you then substitute the expression for z'' in the second equation into the first, you get:

x'' = -x' + 1 + x'' + x'

in other words, 1 = 0.

I suggest you check these equations, they're probably wrong.

ikhlas 2023-11-3

how can I solve this system using Euler's method in matlab

u'=p

v'=q

p'=0

q'=0

such that u(0)=0 , v(0)=0, p(0)=0, q(0)=1?

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Answer 4

Seba 2011-7-15

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here is a system of equations. Is it possible to find solution of this system with Simulink ?

Id, Iq,Ia,Ib,w,Me are unknown functions, Ud an Uq are known functions, other are constants

http://imageshack.us/photo/my-images/684/98585262.jpg/

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Arnaud Miege 2011-7-15

Yes, as long there is a solution, you can represent any system of ODEs in Simulink. Start working out the higher order derivatives and use integrator blocks to work your way up. Read the documentation, e.g.:

http://www.mathworks.com/help/releases/R2011a/toolbox/simulink/ug/bra6ae8.html

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Answer 5

Seba 2011-7-19

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do you have any examples on how to solve equations with complex numbers in Simulink?

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Seba 2011-7-21

how can I solve equations with real-valued signals with simulink, do you have any documentation on that?

Arnaud Miege 2011-7-21

Like I said before (read my previous answers/comments), you can represent any system of ODEs in Simulink. Start working out the higher order derivatives and use integrator blocks to work your way up. Read the documentation, e.g.:

http://www.mathworks.com/help/releases/R2011a/toolbox/simulink/ug/bra6ae8.html.

Also work through the tutorials I suggested and look at Modelling Best Practises in the documentation.

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