2nd order System steady state error

AI Thread Summary
To achieve no steady state error for the input R(s) = 1/s^2, the closed loop transfer function must be analyzed correctly, as the system is not a unit feedback system. The initial attempt to convert it into a unit feedback system led to confusion and incorrect results. The key point is to utilize the correct expression for steady state error, which involves the closed loop function rather than the open loop transfer function. There may be additional equations or conditions that need to be considered to solve for K and α effectively. Properly addressing these aspects will lead to the desired outcome of no steady state error.
silentwf
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Homework Statement


The system's closed loop transfer function is given below, find K and \alpha such that the input R(s) = 1/s^2 has no steady state error. (Hint: the system is not a unit feedback system)
[PLAIN]http://img829.imageshack.us/img829/9899/problempr.png

Homework Equations


not sure how many there are.


The Attempt at a Solution


So I made the system into a unit feedback system despite its hint...and it turned out..strange.
Another thing i don't understand is, with the conditions that the questions, i only get one equation to solve for k and \alpha, are there any others that i might be overlooking?


[PLAIN]http://img692.imageshack.us/img692/3111/solj.png
 
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silentwf said:

Homework Statement


The system's closed loop transfer function is given below, find K and \alpha such that the input R(s) = 1/s^2 has no steady state error. (Hint: the system is not a unit feedback system)
[PLAIN]http://img829.imageshack.us/img829/9899/problempr.png

Homework Equations


not sure how many there are.


The Attempt at a Solution


So I made the system into a unit feedback system despite its hint...and it turned out..strange.
Another thing i don't understand is, with the conditions that the questions, i only get one equation to solve for k and \alpha, are there any others that i might be overlooking?


[PLAIN]http://img692.imageshack.us/img692/3111/solj.png[/QUOTE]

You used the wrong expression for the steady state error. You should have used the closed loop function and not the open loop G.
 
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