a unit step input i 2: For closed loop system, a controller eliminate the offset. 3: For proportional control the steady state error (offset) tends to Zero when Kc is DD aller with the transfer function C 5 + 3s having T

Q2. The level of liquid in a vessel is controlled by pure proportional control. The controller acts on a valve on the outlet stream by means of an analogue current signal in the range 4-20 mA. The valve stem position responds linearly to the current over the range 0-100% and for this installed valve it is known that the % of max flow is roughly equal to the % stem position (c.f. course notes p34, Fig 23). The maximum flowrate through the valve is 100 m³ hr:¹. At an initial steady-state condition, the level in the tank is at its set-point and the flow rates into and out of the tank are both 50 m³ hr¹. After a step-change disturbance in the inlet flowrate of 5 m³ hr¹, the process response results in a steady-state offset of 50 cm in the tank level. a) Calculate the gain of the controller (in mA/m) b) How should the gain be altered to limit level changes to ±1 m when the inlet flowrate may vary between 20 and 80 m³hr¹.

a) By means of Routh test, determine the stability of the system shown in Figure 4 when Kc=2. K_(1+)- K, =1 K, = 1- R 2 C 1 0.2s2 + 0.4s +1 Figure 4: Block diagram of a process with PI controller and 2nd order measurement lag.

answer should be numerical number

The question has been raised whether an open-loop unstable process can be stabilized with a proportional-only controller. a) For the process and controller shown in Fig. 1, find the range of Kc values b) What is the gain of Y (s)/Ysp(s), if Kc is within the range of part (a)? c)For K = 10 and τ = 20, find the value of Kc that yields a pole at s = −0.1. Given a unit step setpoint, what is the offset for these conditions?

Consider a process,Gₚ=0.2/(−s+1), that is open-loopunstable. If Gᵥ=Gₘ=1, determine whether a propor-tional controller can stabilize the closed-loop system.

A unit-step change in the error is introduced into a PID controller. If Kc=10, τI=1, and τD= 0.5, plot the response of the controller, P(t).

Given the setpoint S(t), we design a controller and find that the closed-loop system -2t output is 1 + e-". Please determine the value of ITAE: 1 O No correct answer 0.25 0.5

If the controlled process could be represented as Second-Order-Plus-Time-Delay (SOPTD) Model G(s): = -Os Ke (715 + 1)(725 + 1) Derive controller transfer function Gc for SOPTD based on the following desired response (*)₁ - + 1 Y = Y sp d

● K(s) Design K(s) that stabilizes the closed-loop system for the following cases. ● 0.16 0.00223s +1 K(s) = K (constant, P controller) K(s) = KP+KI/S (PI (Proportional-Integral) controller)