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Match the pair :

SET IList II
(a) Bode plot(i) Time response solution
(b) Nyquist criterion(ii) Sampled data system
(c) Z-transform(iii) Frequency response method
(d) Inverse-Laplace transform(iv) Stability of control system

  • A.a-iii, b-iv, c-ii, d-i
  • B.a-i, b-ii, c-iii, d-iv
  • C.a-iv, b-iii, c-ii, d-i
  • D.a-iv, b-i, c-iii, d-ii

Answer: A

The correct matching is a-iii, b-iv, c-ii, d-i.

  • The Bode plot is a frequency response method, plotting magnitude and phase against frequency (iii).
  • The Nyquist criterion determines the stability of a closed-loop control system from its open-loop frequency response (iv).
  • The Z-transform is the tool for sampled-data (discrete-time) systems (ii).
  • The inverse Laplace transform gives the time response solution from the s-domain expression (i).

The other codes give the Bode plot or the Nyquist criterion each other's role, or the Z-transform the time response.

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