# Control Systems Questions and Answers – Output Regulator and the Tracking Problem

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Output Regulator and Tracking Problem”.

1. For output regulator problem in performance index the parameter which is set to zero:
a) Input vector
b) Output vector
c) Control vector
d) State vector

Explanation: As the problem is to minimize the performance index involving output vector then the output vector must be close to zero.

2. In tracking problem the parameter reduced is :
a) Error
b) Output
c) Input
d) State

Explanation: In tracking problem the main objective is to reduce error and this is the main concern so as to reduce error.

3. Riccati equation is formed by using:
a) Output regulator problem
b) Finite state regulator problem
c) Infinite state regulator problem
d) Tracking problem

Explanation: Riccati equation can be formed using the results of the tracking problem as it is mainly applied in the cases where the errors are reduced to the minimum.

4. The value of K must further follow the following constraint that the closed loop system must be:
a) Asymptotically stable
b) Stable
c) Marginally stable
d) Conditionally stable

Explanation: The value of Ki must further follow the following constraint that the closed loop system must be asymptotically stable and this is due to the fact that the value of k matrix can be varied.

5. For suboptimal control the value of R is assumed to be:
a) Positive definite
b) Non-positive definite
c) Negative
d) Complex

Explanation: For suboptimal control the value of R is not assumed to be positive definite but it can also be assumed to be zero.

6. Which one of the following compensation is required for improving the transient response of the system?
b) Phase lag compensation
c) Gain compensation
d) Both phase lag compensation and gain compensation

Explanation: For increasing or improving the transient response derivative controller is used and which is the phase lead compensation.

7. Pneumatic controller
a) Flexible operation
b) High torque high speed operation
c) Fire and explosion proof operation
d) No leakage

Explanation: Pneumatic controllers are fire and explosion proof operation as they require air and gas fuel for its operation.

8. Hydraulic controller:
a) Flexible operation
b) High torque high speed operation
c) Fire and explosion proof operation
d) No leakage

Explanation: Hydraulic controller must have no leakage and also it requires high torque and high speed operation due to high density of the controller.

9. Electronic Controller:
a) Flexible operation
b) High torque high speed operation
c) Fire and explosion proof operation
d) No leakage

Explanation: Flexible in all sense as it does not require heavy components or extra torque or high speed operations.

10. Which one of the following statement is correct?
A plant controlled by a proportional controller. If a time delay element is introduced in the loop its:
a) Phase margin remains the same
b) Phase margin increases
c) Phase margin decreases
d) Gain margin increases

Explanation: The introduction of a time delay element decreases both the phase and gain margin.

Sanfoundry Global Education & Learning Series – Control Systems.
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