I guess the controller is supposed to be placed between E(s) and plant G(s), because in the problem I attached, it says 'unity feedback' which means H(s) = 1.
All I got is identical to the one I attached.
I'm many times bothered due to lack of explanation and sources regarding exercises in...
Thanks for reply.
In fact, I'm still unclear about the part (G(0)/(1+Kp*G(0))=1) which is from the solution.
In the problem, they just gave me the condition that 'PI controller with a unity dc gain'
and in the solution, the equation '(G(0)/(1+Kp*G(0))=1)' just came up. The equation is not...
I'm doing my homework, and encountered a problem.
The problem is the one as attached. It includes a part of solution that I don't understand.
I've known that when designing the PI controller, we start from D(s) = (Kp + Ki/S)
The condition of the PI controller is, firstly, unity DC gain.
So...
Homework Statement
this system satisfies the condition of initial rest.
Y[n] =(1/2)y[n-1] + x[n]
I'm trying to prove that this is linear and time invariant.The Attempt at a Solution
I'm trying it this way.
To be LTI system,
It has to satisfy below.
aX1[n] -> aY1[n]
bX2[n] -> bY2[n]
aX1 +...