Question:
A PD controller with transfer function \( G_c \) is used to stabilize an open-loop unstable process with transfer function \( G_p \), where \( G_c = K_c \frac{(T_D s + 1)}{(\frac{T_D}{20})s + 1} \) and \( G_p = \frac{1}{(s - 1)(10s + 1)} \), and time is in minutes. From the necessary conditions for closed-loop stability, the maximum feasible value of \( T_D \), in minutes, rounded off to 1 decimal place, is _____.
A PD controller with transfer function \( G_c \) is used to stabilize an open-loop unstable process with transfer function \( G_p \), where \( G_c = K_c \frac{(T_D s + 1)}{(\frac{T_D}{20})s + 1} \) and \( G_p = \frac{1}{(s - 1)(10s + 1)} \), and time is in minutes. From the necessary conditions for closed-loop stability, the maximum feasible value of \( T_D \), in minutes, rounded off to 1 decimal place, is _____.
Updated On: Jul 17, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 22.1
Solution and Explanation
The correct Answers is :22.1 or 22.3 Approx
Was this answer helpful?
0
0
Top Questions on Measurement of process variables
- Consider the surge drum in the figure. Initially, the system is at steady state with a hold-up \( V = 5 \) m³, which is 50% of the full tank capacity, \( V_{\text{full}} \), and volumetric flow rates \( \vec{F}_{\text{in}} = \vec{F}_{\text{out}} = 1 \) m³/h. The high hold-up alarm limit \( V_{\text{high}} = 0.8 V_{\text{full}} \) while the low hold-up alarm limit \( V_{\text{low}} = 0.2 V_{\text{full}} \). A proportional (P-only) controller manipulates the outflow to regulate the hold-up \( V \) as \( \vec{F}_{\text{out}} = K_c (V - \vec{V}) + \vec{F}_{\text{out}} \). At \( t = 0 \), \( \vec{F}_{\text{in}} \) increases as a step from 1 m³/h to 2 m³/h. Assume linear control valves and instantaneous valve dynamics. Let \( K_c^{\text{min}} \) be the minimum controller gain that ensures \( V \) never exceeds \( V_{\text{high}} \). The value of \( K_c^{\text{min}} \), in h\(^{-1}\), rounded off to 2 decimal places, is _____.
- GATE CH - 2024
- Instrumentation and Process Control
- Measurement of process variables
- Consider the block diagram in the figure with control input u, disturbance d and output y. For the feedforward controller, the ordered pair (K, a/ẞ) is
- GATE CH - 2024
- Instrumentation and Process Control
- Measurement of process variables
Choose the option that correctly pairs the given measurement devices with the quantities they measure.
\[ \begin{array}{c c c c} \underline{S\ No} & \underline{\text{Measurement Device}} & \underline{S\ No} & \underline{\text{Measured Quantity}} \\ \text{I} & \text{Bourdon Gauge} & \text{A} & \text{Temperature} \\ \text{II} & \text{Orifice Plate meter} & \text{B} & \text{Concentration} \\ \text{III} & \text{Pyrometer} & \text{C} & \text{Pressure} \\ \text{IV} & \text{Colorimeter} & \text{D} & \text{Flow rate} \\ \text{V} & \text{Pirani Gauge} & \text{E} & \text{Liquid level} \\ \end{array} \]- GATE CH - 2022
- Instrumentation and Process Control
- Measurement of process variables
- Which of the following is NOT a standard to transmit measurement and control signals?
- GATE CH - 2021
- Instrumentation and Process Control
- Measurement of process variables
Questions Asked in GATE CH exam
- A PID controller consists of:
- GATE CH - 2026
- Process Control
- Which law is used to describe steady-state diffusion in gases?
- GATE CH - 2026
- Mass Transfer
- For an ideal gas, internal energy is a function of:
- GATE CH - 2026
- Thermodynamics
- Flow is said to be laminar when the Reynolds number is:
- GATE CH - 2026
- Fluid Mechanics
- In distillation, relative volatility is a measure of:
- GATE CH - 2026
- Thermodynamics
View More Questions