Q2.Consider a stable system with transfer function
Where b1,
---, bp and a1,
---, aq are real valued constants. The slope of the Bode log magnitude curve of G(s) converges to -60 dB/decade as 𝜔 ⟶ ∞. A possible pair of values for p and q is
Q3.Consider the following statements for continuous-time linear time invariant (LTI) systems.
I. There is no bounded input bounded output (BIBO) stable system with a pole in the right half of the complex plane.
II. There is non causal and BIBO stable system with a pole in the right half of the complex plane.
Which one among the following is correct?
Answer : Option DExplaination / Solution:
If a system is non-causal then a pole on right half of the s-plane can give BIBO stable system. But for a causal system to be BIBO all poles must lie on left half of the complex plane.
does not encircle the point (1+ j0) for K = 10 but does encircle the point (-1+ j0) for K = 100. Then the closed loop system (having unity gain feedback) is
Q7.Consider the following statement about the linear dependence of the real valued functions y1 =
1, y2 = x and y3 = x2, over the field of real numbers.
I. y1, y2 and y3 are linearly independent on -1 ≤ x ≤ 0
II. y1, y2 and y3 are linearly dependent on 0 ≤ x ≤ 1
III. y1, y2 and y3 are linearly independent on 0 ≤ x ≤ 1
IV. y1, y2 and y3 are linearly dependent on -1 ≤ x ≤ 0