This set of Control Systems Multiple Choice Questions & Answers (MCQs) focuses on “Controlability and Observability”.

1. A system is said to be_________________ if every state can be completely identified by measurements of the outputs at the finite time interval.

a) Controllable

b) Observable

c) Cannot be determined

d) Controllable and observable

2. Kalman’s test is for :

a) Observability

b) Controllability

c) Optimality

d) Observability and controllability

3. A system is said to be_____________ if it is possible to transfer the system state from any initial state to any desired state in finite interval of time.

a) Controllable

b) Observable

c) Cannot be determined

d) Controllable and observable

4. Consider a system if represented by state space equation and x1 (t) =x2 (t), then the system is:

a) Controllable

b) Uncontrollable

c) Observable

d) Unstable

5. A transfer function of the system does not have pole-zero cancellation? Which of the following statements is true?

a) System is neither controllable nor observable

b) System is completely controllable and observable

c) System is observable but uncontrollable

d) System is controllable and unobservable

6. Pure imaginary pair:

a) Centre

b) Focus point

c) Saddle point

d) Stable node

7. For the system , which of the following statements is true?

a) The system is controllable but unstable

b) The system is uncontrollable and unstable

c) The system is controllable and stable

d) The system is uncontrollable and stable

8. Complex conjugate pair:

a) Center

b) Focus point

c) Saddle point

d) Stable node

9. Real and equal but with opposite sign.

a) Center

b) Focus point

c) Saddle point

d) Stable node

10. Real distinct and negative.

a) Center

b) Focus point

c) Saddle point

d) Stable node