Q2/ Liquid-Level feedback control (PI Controller) system (shown below) has the following parameter values: A = 3 ft?, R = 1.0 min/ft?, Ky = 0.2 ft/min psi, Km = 4 mA/ft, Ko 5, T = 3 min, Kıp = 0.75 psi/mA. The system is initially at the nominal steady state with a liquid level of 1 ft. a- Draw the block diagram of this system b-Derive the process transfer function G(s)=H'(s)/Q'2(s) c- If the set point is suddenly changed from 1 to 3 ft, how long will it take the system to reach 2 ft? %3D 92 91 hm LT (LC) -1/P h 93

QUESTION 3 Consider a unity negative feedback control system. Assume that the plant G(s) does not have an integrator and you are using a proportional compensator K. You want to increase the closed-loop step tracking performance. Currently, the steady- state tracking error of the closed-loop system with K=K_old to a unit step signal is 0.1. You would like this error to be reduced to 0.02 with a new proportional compensator K=K_new. How does the proportional gain have to change to make this possible? We assume that the closed-loop is stable for all values of the proportional gain. Do not guess as incorrect answers will incur a penalty. K_new = 6.33 K_old K_new = 5.44 K_old K_new = 5 K_old K_new = 4.66 K_old

Solve B part only plz in 30 min please

Follow up questions.. (b) Pick a pair of values for parameters α and β such that the closed-loop system is stable (c) Pick a pair of values for parameters α and β such that the closed-loop step response is underdamped, exhibiting a settling time of 4/5 seconds and a peak time of π/7 seconds.