A control system described by a differential equation?
A system is described by the differential equation
y^(4)+y^(3)+ 5y^(2)+ 7y^(1)+y=u^(3)+ 2u^(2)+ 3u^(1)+ 7u.
Find the transfer function Y(s)/U(s) (Assume zero initial conditions).
I just realized that the equation is a little confusing and should read
y^(IIII)+y^(III)+ 5y^(II)+ 7y^(I)+y=u^(III)+ 2u^(II)+ 3u^(I)+ 7u
- VamanLv 71 year agoFavourite answer
Use the Laplace transforms. I guess the answer will be
- rotchmLv 71 year ago
This doesnt require any maths really. Its just "plug & play"; Just evaluate the Laplace transform of each side (a recipe, no calculations) to get Y(s) & U(s) and divide them.
For instance, whats the Laplace of y^(4) ?