Test: Optimal Control Problems

Question 1

The output of the system is considered near :

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Question 2

A performance index written in terms of :

Accepted Answer

2 variable

Answer

1 variable

Answer

3 variable

Answer

5 variable

Question 3

Matrix Q is :

Accepted Answer

Positive semi definite symmetric matrix

Answer

Positive definite non-symmetric matrix

Answer

Negative definite symmetric matrix

Answer

Negative definite non-symmetric matrix

Question 4

Matrix R is :

Accepted Answer

Positive semi definite symmetric matrix

Answer

Positive definite non-symmetric matrix

Answer

Negative definite symmetric matrix

Answer

Negative definite non-symmetric matrix

Question 5

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

Accepted Answer

The system must be observable

Answer

The system must be controllable

Answer

The system must be stable

Answer

The system must be LTI

Question 6

Minimum principle was given by:

Accepted Answer

Pontryagin

Answer

Hamiltonian

Answer

Bellman

Answer

Jacobi

Question 7

Dynamic programming is developed by:

Accepted Answer

Bellman

Answer

Pontryagin

Answer

Hamiltonian

Answer

Jacobi

Question 8

The performance index is reduced by:

Accepted Answer

Control function minimization

Answer

State variable constraint

Answer

Input constraint

Answer

Control function constraint

Question 9

Minimum principle is based on :

Accepted Answer

Concepts of calculus of variations

Answer

Principle of calculus

Answer

Principle of invariant imbedding

Answer

Principle of optimality

Question 10

Dynamic programming is based on :

Accepted Answer

All of the mentioned

Answer

Principle of calculus

Answer

Principle of invariant imbedding

Answer

Principle of optimality

Question 11

The main step for solving the optimal control problem:

Accepted Answer

All of the mentioned

Answer

Transfer function of system which is optimal with respect to the given performance criterion

Answer

Compensators for the system

Answer

Minimizing the quadratic function

Question 12

For minimizing the transfer function the condition is :

Accepted Answer

Second differentiation of the function must be negative

Answer

Second differentiation of the function must be zero

Answer

Second differentiation of the function must be positive

Answer

Second differentiation of the function must be complex

Question 13

For the stability in optimal control poles of the transfer function must be :

Accepted Answer

Left half of s plane

Answer

Located on the right half of s plane

Answer

On the s plane

Answer

None of the mentioned

Question 14

The method of choosing compensator is the configuration must be:

Accepted Answer

All of the mentioned

Answer

Forward path

Answer

Cascade and feedback compensation

Answer

Feed forward configuration

Question 15

When some of the states are inaccessible, then we may set the feedback coefficients equal to zero.

Accepted Answer

True

Answer

False

Question 16

Z-transform is used in:

Accepted Answer

Discrete optimal problem

Answer

Continuous optimal control problem

Answer

Control systems

Answer

None of the mentioned

Question 17

For the stable system in discrete optimal control systems:

Accepted Answer

Poles must lie within the unit circle

Answer

Poles must lie outside the unit circle

Answer

Poles must be on the unit circle

Answer

Pole must be in infinity

Question 18

The special case of the tracking problem with input equal to zero:

Accepted Answer

Output regulator problem

Answer

Free response

Answer

Regulator problem

Answer

Forced response

Question 19

The primary objective of the output regulator problem is to damp out:

Accepted Answer

All of the mentioned

Answer

Initial conditions quickly

Answer

Reducing the effect of excessive oscillations

Answer

Reducing the effect of excessive overshoot

Question 20

The limitation of the transfer function approach are:

Accepted Answer

The spectral factorization becomes quite complex

Answer

It is restricted to the systems with all performance index

Answer

Multi input and multi output systems are not obvious

Answer

It is useful for time varying and linear systems

Optimal Control Problems - Free MCQ Practice Test with solutions, GATE

MCQ Practice Test & Solutions: Test: Optimal Control Problems (20 Questions)

The output of the system is considered near :

A performance index written in terms of :

Matrix Q is :

Matrix R is :

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

Minimum principle was given by:

Dynamic programming is developed by:

The performance index is reduced by:

Minimum principle is based on :

Dynamic programming is based on :

The main step for solving the optimal control problem:

For minimizing the transfer function the condition is :

For the stability in optimal control poles of the transfer function must be :

The method of choosing compensator is the configuration must be:

When some of the states are inaccessible, then we may set the feedback coefficients equal to zero.

Z-transform is used in:

For the stable system in discrete optimal control systems:

The special case of the tracking problem with input equal to zero:

The primary objective of the output regulator problem is to damp out:

The limitation of the transfer function approach are:

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