Question

s+0. 4. The transfer function for a controller is Ge identify and implement the controller with an operational amplifier. Assuming a capacitor of 100 μF is available.

Answer 1

Gc = (s+0.1)/s = 1+(0.1/s) = 1+(1/10s) => proportional + Integral controller.

It can be modeeledby a gain amplifier, Integrator with a summer

Rin INTEGRATOR R2 Rin SUMMER GAIN

Proportional controller = gain, Kp = Rf / Rin = 1 (if Rf = Rin); Choose any value if Rf and Rin.say 10 kohm

Integral controller = Integrator, Ki = 1/(RCs) = 1/(10s)

so RC = 10; if C = 100 microF the R = 10 / (100 micro) = 100 kohm

i.e. R = 10 kohm and C = 100 microFarad

for summer it should add without any gain change.

So, for that R1 = R2 = Rf (say 10 kOhm)