Mostly, whenever it is asked to find the DC gain of A system; in the solutions provided, they find the steady state error coefficient (corresponding to the Type of the system). But I figured out that finding the DC gain this way is equivalent to simply finding the open loop DC gain, and not the closed loop DC gain for the system. So is it something understood , that whenever we are asked find the DC gain we must find the DC gain of open loop transfer function?
For example for this question:
Question: A ramp input applied to a unity feedback system results in 5% steady state error. The Type number and zero frequency gain of the system are?
The solution describes the zero frequency gain of the system equal to the Velocity Error Constant, which is equal to 1/0.05=20. Isn't this the DC gain of open loop instead of the complete 'SYSTEM'?
Where am I going wrong?