Drone Systems and Control Nptel Week 5 Answers
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Drone Systems and Control Nptel Week 5 Answers (July-Dec 2025)
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Question 1. In a second-order underdamped system, the transient response is characterized by:
a) Oscillations with decreasing amplitude
b) No oscillations
c) Constant amplitude oscillations
d) No change in amplitude
Question 2. The settling time (Ts) of a second-order system is usually defined as the time to reach within what percentage of the final value?
a) 50%
b) 25%
c) 10%
d) 2%
Question 3. In a first-order system, the time constant (τ) is the time taken for the response to reach:
a) 100% of final value
b) 63.2% of final value
c) 50% of final value
d) 37% of final value
Question 4. An overdamped second-order system has:
a) Complex conjugate poles
b) Real and distinct poles
c) Repeated real poles
d) One real and one imaginary pole
Question 5. Increasing the damping ratio (ζ) in a second-order system will generally:
a) Increase overshoot
b) Decrease overshoot
c) Have no effect on overshoot
d) Make the system unstable
Question 6. Peak time (Tp) is defined as:
a) Time taken to reach the final value
b) Time taken to reach first peak of overshoot
c) Time constant
d) Settling time
Question 7. A critically damped system has damping ratio:
a) 0
b) < 1
c) 1
d) > 1
Question 8. If damping ratio is zero in a second-order system:
a) The system is overdamped
b) The system is critically damped
c) The system is undamped
d) The system is unstable
Question 9. The overshoot in a second-order underdamped system depends primarily on:
a) Natural frequency
b) Damping ratio
c) Time constant
d) Settling time
Question 10. For a stable system, all poles must lie:
a) On the right-half of s-plane
b) On the left-half of s-plane
c) On the imaginary axis
d) Anywhere
Question 11. State variables are:
a) Inputs of the system
b) Outputs of the system
c) Minimum set of variables that describe the system completely
d) Transfer function parameters
Question 12. In state-space analysis, the matrix A is called:
a) Input matrix
b) Output matrix
c) State matrix
d) Transition matrix
These are Drone Systems and Control Nptel Week 5 Answers
Question 13. The state-transition matrix Φ(t) is given by:
a) e^(At)
b) e^(Bt)
c) e^(Ct)
d) e^(Dt)
Question 14. Diagonalization of A matrix is possible if:
a) A has distinct eigenvalues
b) A is singular
c) A is identity
d) A has complex eigenvalues
Question 15. Eigenvalues of a matrix are:
a) Roots of the determinant equation |A − λI| = 0
b) Determinants of A
c) Trace of A
d) Inverse of A
These are Drone Systems and Control Nptel Week 5 Answers
Question 16. If A is a diagonal matrix, then its eigenvalues are:
a) All zeros
b) Diagonal elements of A
c) Sum of diagonal elements
d) None
Question 17. In the equation Av = λv, v is:
a) Eigenvalue
b) Scalar
c) Eigenvector
d) Determinant
Question 18. Eigenvectors corresponding to distinct eigenvalues are:
a) Always linearly dependent
b) Always linearly independent
c) Sometimes dependent
d) None
Question 19. For a real symmetric matrix, the eigenvalues are:
a) Real
b) Complex
c) Imaginary
d) Zero
Question 20. The sum of eigenvalues of a matrix equals:
a) Determinant of matrix
b) Trace of matrix
c) Product of diagonal elements
d) Rank of matrix
These are Drone Systems and Control Nptel Week 5 Answers