Inst ToolsInst ToolsInst Tools
  • Courses
  • Automation
    • PLC
    • Control System
    • Safety System
    • Communication
    • Fire & Gas System
  • Instrumentation
    • Design
    • Pressure
    • Temperature
    • Flow
    • Level
    • Vibration
    • Analyzer
    • Control Valve
    • Switch
    • Calibration
    • Erection & Commissioning
  • Interview
    • Instrumentation
    • Electrical
    • Electronics
    • Practical
  • Q&A
    • Instrumentation
    • Control System
    • Electrical
    • Electronics
    • Analog Electronics
    • Digital Electronics
    • Power Electronics
    • Microprocessor
  • Request
Search
  • Books
  • Software
  • Projects
  • Process
  • Tools
  • Basics
  • Formula
  • Power Plant
  • Root Cause Analysis
  • Electrical Basics
  • Animation
  • Standards
  • 4-20 mA Course
  • Siemens PLC Course
Reading: Optimal Control Problems – Part 1
Share
Font ResizerAa
Inst ToolsInst Tools
Font ResizerAa
  • Courses
  • Design
  • PLC
  • Interview
  • Control System
Search
  • Courses
  • Automation
    • PLC
    • Control System
    • Safety System
    • Communication
    • Fire & Gas System
  • Instrumentation
    • Design
    • Pressure
    • Temperature
    • Flow
    • Level
    • Vibration
    • Analyzer
    • Control Valve
    • Switch
    • Calibration
    • Erection & Commissioning
  • Interview
    • Instrumentation
    • Electrical
    • Electronics
    • Practical
  • Q&A
    • Instrumentation
    • Control System
    • Electrical
    • Electronics
    • Analog Electronics
    • Digital Electronics
    • Power Electronics
    • Microprocessor
  • Request
Follow US
All rights reserved. Reproduction in whole or in part without written permission is prohibited.
Inst Tools > Blog > Multiple Choice Questions > Optimal Control Problems – Part 1

Optimal Control Problems – Part 1

Last updated: November 27, 2021 5:40 pm
Editorial Staff
Multiple Choice Questions
No Comments
Share
4 Min Read
SHARE

Optimal Control Problems

1. The output of the system is considered near :

a) 1
b) 2
c) 3
d) 0

Answer: d

Explanation: Our main objective in the optimal control problem is to reduce the performance index of the system as minimize the output and make it near equal to zero.

2. A performance index written in terms of :

a) 1 variable
b) 2 variable
c) 3 variable
d) 5 variable

Answer: b

Explanation: Generally the performance index be of any variables but in standard form we consider the performance index to be in 2 variable only.

3. Matrix Q is :

a) Positive semi definite symmetric matrix
b) Positive definite non-symmetric matrix
c) Negative definite symmetric matrix
d) Negative definite non-symmetric matrix

Answer: a

Explanation: Matrix Q defines positive definite or non-definite symmetric matrix which is used in the performance index so as to give equal weightage to each element.

4. Matrix R is :

a) Positive semi definite symmetric matrix
b) Positive definite non-symmetric matrix
c) Negative definite symmetric matrix
d) Negative definite non-symmetric matrix

Answer: a

Explanation: Matrix R defines positive definite or non-definite symmetric matrix which is used in the performance index so as to give equal weightage to each element.

5. The major requirement of making the output of the system small in output regulator problem is :

a) The system must be controllable
b) The system must be stable
c) The system must be observable
d) The system must be LTI

Answer: c

Explanation: We are concerned with making the output of the output regulator problem small this is achieved when the system is observable.

6. Minimum principle was given by:

a) Pontryagin
b) Hamiltonian
c) Bellman
d) Jacobi

Answer: a

Explanation: The minimum principle to minimize the performance index is given by Pontryagin.

7. Dynamic programming is developed by:

a) Pontryagin
b) Hamiltonian
c) Bellman
d) Jacobi

Answer: c

Explanation: Dynamic programming for minimizing the performance index is given by Bellman.

8. The performance index is reduced by:

a) State variable constraint
b) Input constraint
c) Control function minimization
d) Control function constraint

Answer: c

Explanation: Once the performance index is calculated the next task is to find the control function which is used to minimize the performance index.

9. Minimum principle is based on :

a) Concepts of calculus of variations
b) Principle of calculus
c) Principle of invariant imbedding
d) Principle of optimality

Answer: a

Explanation: Minimum principle of Pontryagin is based on the concept of calculus of variations.

10. Dynamic programming is based on :

a) Principle of calculus
b) Principle of invariant imbedding
c) Principle of optimality
d) All of the mentioned

Answer: d

Explanation: Dynamic programming is based on principle of calculus, invariant imbedding and optimality and these are the basic laws of the nature and does not need complex mathematical development to explain its validity.

Don't Miss Our Updates
Be the first to get exclusive content straight to your email.
We promise not to spam you. You can unsubscribe at any time.
Invalid email address
You've successfully subscribed !

Continue Reading

Magnetic Deflection Mass Spectrometer Questions & Answers
Signal Flow Graphs Objective Questions
Construction of Root Loci
Pressure Measurement Multiple Choice Questions
Parameter Optimization
Differential Equations of Physical Systems & Dynamics of Robotic Mechanisms
Share This Article
Facebook Whatsapp Whatsapp LinkedIn Copy Link
Share
Leave a Comment

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Stay Connected

128.3kFollowersLike
69.1kFollowersFollow
210kSubscribersSubscribe
38kFollowersFollow

Categories

Explore More

Paramagnetic Oxygen Analyzers Questions & Answers
Stepper Motors Objective Questions & Answers
Solution of State Equations
Optimal Control Problems – Part 2
Cascade Compensation in Time Domain
Frequency Response MCQ
Assessment of Relative Stability Using Nyquist Criterion
State Variables & Linear Discrete Time Systems

Keep Learning

Advances in Control System

Adaptive Control

pH Analyzers Questions and Answers

pH Meters Questions & Answers

Pneumatic Systems Objective Questions

Pneumatic Systems Objective Questions

Temperature Measurement Multiple Choice Questions

Temperature Measurement Multiple Choice Questions

Encoder Questions

Encoder Multiple Choice Questions

Time Response Analysis

Standard Test Signals Objective Questions

Spectrometers Questions and Answers

X-Ray Spectroscopy Questions & Answers

pH Analyzers Questions and Answers

Secondary Reference Electrodes Questions & Answers

Learn More

Electronic Devices & Circuits Objective Questions

Electronic Devices & Circuits Quiz – Set 16

High Voltage and Power System Stability Interview Questions

High Voltage and Power System Stability Interview Questions

Electrical Wire Mesh

What is an Electrical Wire Mesh?

Top 1000 Analytical Instrumentation Questions & Answers

Top 1000 Analytical Instrumentation Questions & Answers

PID Controller Tuning

How to tune a PID Controller ?

Center Tapped Full Wave Rectifier Operation

Center Tapped Full Wave Rectifier Operation

Measurement and Instrumentation Objective Questions

Measurements & Instrumentation Quiz – Set 4

Questions on Single Loop Controller

Single Loop Controller Questions

Menu

  • About
  • Privacy Policy
  • Copyright

Quick Links

  • Learn PLC
  • Helping Hand
  • Part Time Job

YouTube Subscribe

Follow US
All rights reserved. Reproduction in whole or in part without written permission is prohibited.
Welcome Back!

Sign in to your account

Username or Email Address
Password

Lost your password?