Test: Optimal Control Problems

# Test: Optimal Control Problems

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## 20 Questions MCQ Test | Test: Optimal Control Problems

Test: Optimal Control Problems for Electrical Engineering (EE) 2023 is part of Electrical Engineering (EE) preparation. The Test: Optimal Control Problems questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Optimal Control Problems MCQs are made for Electrical Engineering (EE) 2023 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Optimal Control Problems below.
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Test: Optimal Control Problems - Question 1

### The output of the system is considered near :

Detailed Solution for Test: Optimal Control Problems - Question 1

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.

Test: Optimal Control Problems - Question 2

### A performance index written in terms of :

Detailed Solution for Test: Optimal Control Problems - Question 2

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

Test: Optimal Control Problems - Question 3

### Matrix Q is :

Detailed Solution for Test: Optimal Control Problems - Question 3

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.

Test: Optimal Control Problems - Question 4

Matrix R is :

Detailed Solution for Test: Optimal Control Problems - Question 4

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.

Test: Optimal Control Problems - Question 5

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

Detailed Solution for Test: Optimal Control Problems - Question 5

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

Test: Optimal Control Problems - Question 6

Minimum principle was given by:

Detailed Solution for Test: Optimal Control Problems - Question 6

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

Test: Optimal Control Problems - Question 7

Dynamic programming is developed by:

Detailed Solution for Test: Optimal Control Problems - Question 7

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

Test: Optimal Control Problems - Question 8

The performance index is reduced by:

Detailed Solution for Test: Optimal Control Problems - Question 8

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

Test: Optimal Control Problems - Question 9

Minimum principle is based on :

Detailed Solution for Test: Optimal Control Problems - Question 9

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

Test: Optimal Control Problems - Question 10

Dynamic programming is based on :

Detailed Solution for Test: Optimal Control Problems - Question 10

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.

Test: Optimal Control Problems - Question 11

The main step for solving the optimal control problem:

Detailed Solution for Test: Optimal Control Problems - Question 11

Explanation: For solving the problem using optimal control problem various steps are required as first is to form the transfer function and then to compute the compensators and the major requirement is to minimize the quadratic function.

Test: Optimal Control Problems - Question 12

For minimizing the transfer function the condition is :

Detailed Solution for Test: Optimal Control Problems - Question 12

Explanation: In optimal control problems the main objective is to reduce the performance criterion which is used only when the second differentiation of the function must be negative.

Test: Optimal Control Problems - Question 13

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

Detailed Solution for Test: Optimal Control Problems - Question 13

Explanation: For the stability point of view the basic definition continues that the poles must be located on the left half of s plane.

Test: Optimal Control Problems - Question 14

The method of choosing compensator is the configuration must be:

Detailed Solution for Test: Optimal Control Problems - Question 14

Explanation: The above mentioned are the various configurations of choosing a compensator.

Test: Optimal Control Problems - Question 15

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

Detailed Solution for Test: Optimal Control Problems - Question 15

Explanation: This is done to adjust coefficients to realize the transfer function and if it is not possible then reconstruction of signals can be done.

Test: Optimal Control Problems - Question 16

Z-transform is used in:

Detailed Solution for Test: Optimal Control Problems - Question 16

Explanation: Z-transform by definition can is used in discrete case only both in optimal and normal control functions.

Test: Optimal Control Problems - Question 17

For the stable system in discrete optimal control systems:

Detailed Solution for Test: Optimal Control Problems - Question 17

Explanation: Poles in discrete system must be inside the unit circle and for causal system it must be outside the circle but no including the infinity.

Test: Optimal Control Problems - Question 18

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

Detailed Solution for Test: Optimal Control Problems - Question 18

Explanation: For zero input output is zero if all the initial conditions are zero the response are due to non-initial conditions which are caused due to disturbances.

Test: Optimal Control Problems - Question 19

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

Detailed Solution for Test: Optimal Control Problems - Question 19

Explanation: The primary objective of the output regulator problem is to damp out the initial conditions quickly and also reduce the effect of excessive oscillations and overshoot.

Test: Optimal Control Problems - Question 20

The limitation of the transfer function approach are:

Detailed Solution for Test: Optimal Control Problems - Question 20

Explanation: The limitation of transfer function approach is that is it useful only for quadratic performance index and multi input and multi output systems are obvious and also it is ineffective for time varying and non-linear systems.

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