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

1. The choice of control vector is considered decision of interest in :

a) Multistage process of N stages

b) Minimizing the performance index

c) Optimal policy or sequence

d) All of the mentioned

2. The principle of invariant imbedding is :

a) The optimal control sequence is function of initial state

b) The optimal control sequence is function of number of stages N

c) Control problem is imbedded with the family of problems with fixed initial value and final state

d) The optimal control sequence is function of final state

3. The optimization method based on dynamic programming views :

a) Control problem as the multistage decision problem

b) Control input as a time sequence of decisions

c) A sampled data system gives rise to sequence of transformations of the original state vector

d) All of the mentioned

4. The principle of optimality :

a) The optimal control sequence is function of initial state

b) The optimal control sequence is function of number of stages N

c) The principle maintains the N-stage decision process

d) Find one control value at a time until optimal policy is determined

5. The optimal control at each state is ________ combination of states.

a) Linear

b) Non-linear

c) Time variant

d) Time invariant

6. Realization of the optimal control policy :

a) Feedback of the state variables

b) Feedback of the control variables

c) Control constraint

d) Control function

7. The calculation in multistage process must always start from the first stage :

a) True

b) False

8. Feedback is :

a) Linear

b) Non-linear

c) Time variant

d) Time invariant

9. If the plant states are not variable for measurement, then it is possible to construct physical device state observer if :

a) Produces output at its plant states

b) Plants equations must satisfy the conditions of observability

c) Both a and b

d) Input must be present

10. Value of the performance index must be finite if :

a) System is controllable

b) System is observable

c) System is stable

d) System is unstable