# Optimal Control Problems MCQ’s

This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Optimal Control Problems”.

1. A performance index written in terms of :
a) 1 variable
b) 2 variable
c) 3 variable
d) 5 variable

2. 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

3. The output of the system is considered near :
a) 1
b) 2
c) 3
d) 0

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

5. Minimum principle was given by:
a) Pontryagin
b) Hamiltonian
c) Bellman
d) Jacobi

6. The performance index is reduced by:
a) State variable constraint
b) Input constraint
c) Control function minimization
d) Control function constraint

7. 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

8. Dynamic programming is developed by:
a) Pontryagin
b) Hamiltonian
c) Bellman
d) Jacobi

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

10. Dynamic programming is based on :
a) Principle of calculus
b) Principle of invariant imbedding
c) Principle of optimality
d) All of the mentioned