function
- A Feedback Control Loop Has The Following Process Transfer Function Where The Process Gain Is K 2 5 And The Time Constan 1 (5.19 KiB) Viewed 22 times
tau1=5min, tau2=0.8min, tau3=0.2min
a. Determine the controller tuning parameters for a quarter
decay ratio response by the ultimate gain method for (i) a
proportional (P) controller, (ii) a proportional integral (PI)
controller, and (iii) a proportional controller. proportional
integral derivative (PID). What is the value of ultimate profit and
ultimate period?
b. Compare the performance of the P, PI, and PID controllers
using the performance criteria for a 10-unit setpoint change:
overshoot, settling time, rise time, peak time, and decay rate.
c. For a PI and a PID, find the roots of the closed-loop
characteristic polynomial. Identify the dominant pair of roots and
from these calculate the damping ratio and natural frequency of the
closed-loop system. It compares the value of these parameters for
the response of the feedback control system of the PI against those
of the control system with PID.
G₁ (s) = K (T18 + 1) (T28 + 1)(738 +1)