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3rd Order ODE on Simulink

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Parveen Ayoubi
Parveen Ayoubi el 27 de Nov. de 2021
Respondida: Pat Gipper el 29 de Nov. de 2021
I have been trying to solve this differential equation for two days now. I do not know what to do with the right hand side of the ODE. The only way I have seen to solve it does not include the derivative of the input as well. Would really appreaciate some help atleast to know how to start it up.
y^''' (t)+6y^'' (t)+11y^'(t) +6y(t)=u^'' (t)+2u^' (t)+3u(t)
y’’(0) = 1 ; y’(0) = -1; y(0) = 1
where u=Unit step Us(t).
Ive tried to do it in simulink but I cant seem to get the right answer. Ill link what I have tried to do with it. (One of the problems is that we have to have the initital conditions present which we cant do with the transfer function)
  2 comentarios
Parveen Ayoubi
Parveen Ayoubi el 27 de Nov. de 2021
This is the other way but it also doesnt work.
Pat Gipper
Pat Gipper el 28 de Nov. de 2021
Editada: Pat Gipper el 29 de Nov. de 2021
Could it be something like this? Now you just need to figure out what u'' is that will result in u = unit step. It turns out that it requires a doublet as an input.

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Pat Gipper
Pat Gipper el 29 de Nov. de 2021
I approximated the required doublet input into an update to my comment with a summation of two very short pulse generators.

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