E elec123 New Member Jan 2, 2006 #1 Hi, The input to a system is u(t) = 1 + 2t which is U(s)= 1/s + 2/s^2 which i have managed to simplify to s+2 / s^2 The output is y(t) = 2t - 1 + e^-t which is Y(s)= 2/s^2 - 1/s + 1/(s+1) My problem is i haven't managed to simplify it like the first one.... I can get it to (2-s)/s^2 + 1/(s+1) I need to get it into a simpler form so i can find the transfer function Y(s)/U(s). Help on this would be greatly appreciated......
Hi, The input to a system is u(t) = 1 + 2t which is U(s)= 1/s + 2/s^2 which i have managed to simplify to s+2 / s^2 The output is y(t) = 2t - 1 + e^-t which is Y(s)= 2/s^2 - 1/s + 1/(s+1) My problem is i haven't managed to simplify it like the first one.... I can get it to (2-s)/s^2 + 1/(s+1) I need to get it into a simpler form so i can find the transfer function Y(s)/U(s). Help on this would be greatly appreciated......
Styx Active Member Jan 2, 2006 #2 elec123 said: Hi, The input to a system is u(t) = 1 + 2t which is U(s)= 1/s + 2/s^2 which i have managed to simplify to s+2 / s^2 The output is y(t) = 2t - 1 + e^-t which is Y(s)= 2/s^2 - 1/s + 1/(s+1) My problem is i haven't managed to simplify it like the first one.... I can get it to (2-s)/s^2 + 1/(s+1) I need to get it into a simpler form so i can find the transfer function Y(s)/U(s). Help on this would be greatly appreciated...... Click to expand... I get: U(s) = (s+2)/s^2 Y(s) = (s+2)/(s^2*(s+1)) giving Transfer fn as: 1/(s+1)
elec123 said: Hi, The input to a system is u(t) = 1 + 2t which is U(s)= 1/s + 2/s^2 which i have managed to simplify to s+2 / s^2 The output is y(t) = 2t - 1 + e^-t which is Y(s)= 2/s^2 - 1/s + 1/(s+1) My problem is i haven't managed to simplify it like the first one.... I can get it to (2-s)/s^2 + 1/(s+1) I need to get it into a simpler form so i can find the transfer function Y(s)/U(s). Help on this would be greatly appreciated...... Click to expand... I get: U(s) = (s+2)/s^2 Y(s) = (s+2)/(s^2*(s+1)) giving Transfer fn as: 1/(s+1)
L ljcox Well-Known Member Jan 2, 2006 #3 I agree with Styx, so you must be having a problem with the algebra. So if you still can't solve it, post your maths in detail so we can see where you are going wrong.
I agree with Styx, so you must be having a problem with the algebra. So if you still can't solve it, post your maths in detail so we can see where you are going wrong.
E elec123 New Member Jan 3, 2006 #4 Thanks for the replies, Yeah i can't do the algebra... I can get it Y(s)= (2-s)/s^2 + 1/(s+1) but don't know how to simplify it to Y(s) = (s+2)/(s^2*(s+1)) If you could explain the necessary technique that wld be great... Thanks
Thanks for the replies, Yeah i can't do the algebra... I can get it Y(s)= (2-s)/s^2 + 1/(s+1) but don't know how to simplify it to Y(s) = (s+2)/(s^2*(s+1)) If you could explain the necessary technique that wld be great... Thanks
L ljcox Well-Known Member Jan 3, 2006 #5 The attached shows the equivalent procedure in arithmetic. You follow exactly the same procedure in algebra. Attachments lcd_162.gif 9 KB · Views: 325
The attached shows the equivalent procedure in arithmetic. You follow exactly the same procedure in algebra.