Question

Some process has the following transfer function:

Gp(s)= (s+8)/[(s+3)(s+6)(s+10)]

We need to conrol this process very accurately so we add negative feedback and a controller. Design a suitable controller to meet the following specifications:

Maximusm Overshoot is approximately 20%

Settling time is 0.8s or smaller

Steady-State error for a step input is zero

Answer 1

Hello,
       Please find the answer attached below. If the answer has helped you please give a thumbs up rating. Thank you and have a nice day!

NOTE: I have solved the above question using SIMULINK:

First, build the following block diagram in SIMULINK:

Now, double click the PID block and select PI control. Then click on the "Tune" button. Move the two sliders on the top till you get the desired response:

The required PI controler is of the form:

C =
Kp + Ki/s

with Kp = 45.7, Ki = 107
Continuous-time PI controller in parallel form.