Pole Placement and State Feedback — MCQs – EE

1. The main objective of pole placement is to:
(A) Increase system order
(B) Assign system poles to desired locations
(C) Reduce steady-state error
(D) Improve frequency response

2. Pole placement is possible only if the system is:
(A) Observable
(B) Controllable
(C) Stable
(D) Nonlinear

3. In state feedback control, the control law is generally written as:
(A) u = Kx
(B) u = −Kx + r
(C) y = Cx + Du
(D) x = Ax + Bu

4. The feedback gain matrix (K) is used to:
(A) Modify system zeros
(B) Change system poles
(C) Change system order
(D) Increase system gain only

5. The closed-loop system matrix under state feedback is:
(A) A + BK
(B) A − BK
(C) A + KC
(D) A − KC

6. The desired pole locations are selected based on:
(A) Time-domain and stability requirements
(B) Transfer function
(C) Frequency response
(D) Initial conditions

7. The Ackermann’s formula is used to:
(A) Test observability
(B) Compute the state feedback gain matrix K
(C) Derive transfer function
(D) Design observer gain

8. Pole placement cannot be performed if the system is:
(A) Controllable
(B) Uncontrollable
(C) Observable
(D) Time-invariant

9. The number of poles that can be assigned equals:
(A) Number of zeros
(B) Number of states
(C) Number of inputs
(D) Number of outputs

10. The feedback gain matrix (K) depends on:
(A) A and B matrices
(B) B and C matrices
(C) A and C matrices
(D) C and D matrices

11. The observer design is based on:
(A) State feedback
(B) Pole placement
(C) Controllability
(D) Observability

12. The goal of state feedback is to:
(A) Adjust zeros of the system
(B) Adjust poles for desired performance
(C) Increase steady-state error
(D) Reduce system order

13. The closed-loop poles determine:
(A) System bandwidth
(B) System dynamic response
(C) Both (A) and (B)
(D) None of these

14. A system that is controllable but not observable:
(A) Can still use state feedback
(B) Cannot use state feedback
(C) Is always stable
(D) Cannot have poles

15. The pole placement method changes:
(A) System zeros
(B) System poles only
(C) Both poles and zeros
(D) Damping ratio only

16. The pole placement technique is also known as:
(A) State feedback design
(B) Feedforward control
(C) Open-loop control
(D) Frequency response design

17. The main advantage of pole placement over classical methods is that it:
(A) Works only for first-order systems
(B) Can be used for multi-input systems
(C) Requires no system model
(D) Avoids feedback

18. The Ackermann’s formula applies only to:
(A) Observable systems
(B) Single-input systems
(C) Multi-input systems
(D) Nonlinear systems

19. The reference input (r) in state feedback control helps to:
(A) Eliminate steady-state error
(B) Change pole locations
(C) Adjust system order
(D) Reduce bandwidth

20. The feedforward gain (N) in pole placement design is used to:
(A) Adjust damping ratio
(B) Achieve desired steady-state output
(C) Modify zeros
(D) Change poles

21. The state feedback gain matrix (K) can be determined from:
(A) Bode plot
(B) Ackermann’s formula
(C) Root locus
(D) Nyquist plot

22. The order of the feedback gain matrix (K) is:
(A) m × n
(B) n × m
(C) n × n
(D) m × m

23. The pole placement method is a type of:
(A) Open-loop control
(B) Closed-loop control
(C) Feedforward control
(D) Adaptive control

24. In state feedback design, the system output is not used directly because:
(A) It contains noise
(B) All state variables are assumed measurable
(C) Output has delay
(D) It depends on transfer function

25. When all states are not measurable, we use:
(A) Pole placement
(B) State observer
(C) Root locus
(D) Nyquist method

26. The observer poles are generally placed:
(A) Slower than system poles
(B) At the same speed as system poles
(C) Faster than system poles
(D) Randomly

27. The separation principle states that:
(A) Observer and feedback design can be done independently
(B) Feedback gain depends on observer
(C) Observer gain equals feedback gain
(D) Poles and zeros are independent

28. Pole placement provides:
(A) Exact control over system poles
(B) Approximate control
(C) No control over poles
(D) Only magnitude adjustment

29. A system that is not completely controllable:
(A) Cannot have all poles assigned
(B) Can have all poles assigned
(C) Can be stabilized using feedback
(D) Always stable

30. The main limitation of pole placement is:
(A) Requires full state feedback
(B) Cannot change poles
(C) Works only for unstable systems
(D) Does not improve performance

31. In discrete-time systems, the closed-loop matrix becomes:
(A) A + BK
(B) A − BK
(C) A + KB
(D) A − KB

32. Pole placement can achieve:
(A) Desired damping ratio and natural frequency
(B) Desired gain only
(C) Desired steady-state error only
(D) Desired frequency bandwidth only

33. The design objective of state feedback is to:
(A) Place zeros of the transfer function
(B) Modify poles for desired performance
(C) Reduce number of states
(D) Remove time delay

34. If the A matrix of a system is diagonalizable, then pole placement becomes:
(A) Simpler
(B) Impossible
(C) More complex
(D) Irrelevant

35. Pole placement affects which part of the system dynamics?
(A) Transient response
(B) Steady-state response
(C) Both
(D) Neither

36. The state feedback controller improves:
(A) Speed of response
(B) System order
(C) Nonlinearity
(D) Stability margin only

37. If the system is both controllable and observable, then:
(A) Both poles and zeros can be assigned
(B) Desired poles can be placed and states can be estimated
(C) Only zeros can be placed
(D) Only steady-state can be changed

38. The Ackermann’s formula involves:
(A) Characteristic polynomial coefficients
(B) Input-output relationship
(C) Laplace transform
(D) Frequency response

39. The state feedback control law ensures that:
(A) The closed-loop poles match the desired poles
(B) System output remains constant
(C) System becomes nonlinear
(D) All zeros are canceled

40. Pole placement is also known as:
(A) Full-state feedback control
(B) Output feedback control
(C) Feedforward control
(D) Open-loop control