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Control system miscellaneous

  1. If the unit step response of a network is (1 – e – α t), then its unit impulse response will be
    1. α e – α t
    2. α e – t / α
    3. 1
      αe – α t

    4. (1 - α ) e – α t
Correct Option: A

Unit impulse response of a linear, time invariant network is the derivative of unit step function response of the network.
Unit step response is (1 – e – α t)
∴ Unit impulse response = – (– α) e– α t = α e – α t



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