2nd order System steady state error

silentwf
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Homework Statement


The system's closed loop transfer function is given below, find K and [tex]\alpha[/tex] such that the input [tex]R(s) = 1/s^2[/tex] 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 [tex]\alpha[/tex], are there any others that i might be overlooking?


[PLAIN]http://img692.imageshack.us/img692/3111/solj.png
 
Last edited by a moderator:
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silentwf said:

Homework Statement


The system's closed loop transfer function is given below, find K and [tex]\alpha[/tex] such that the input [tex]R(s) = 1/s^2[/tex] 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 [tex]\alpha[/tex], 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.
 
Last edited by a moderator:

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