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A control system whose step response is -0.5(1+e-2t) is cascaded to another control block whose impulse response is e-t. What is the transfer function of the cascaded combination? 
  • a)
    1/(s+2)(s+1)
  • b)
    1/(s+1)s
  • c)
    1/(s+3)
  • d)
    0.5/(s+1)(s+2)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A control system whose step response is -0.5(1+e-2t) is cascaded to an...
Solution: Laplace transform is the transformation that transforms the time domain into frequency domain and of both the cascaded systems are 1/(s+1)(s+2).
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Most Upvoted Answer
A control system whose step response is -0.5(1+e-2t) is cascaded to an...
Solution:

Step response of the first control block = -0.5(1 e-2t)

Impulse response of the second control block = e-t

The transfer function of the first control block can be found by taking the Laplace transform of the step response:

Laplace transform of step response = -0.5(1/(s+2))

The transfer function of the second control block can be found by taking the Laplace transform of the impulse response:

Laplace transform of impulse response = 1/(s+1)

The transfer function of the cascaded combination can be found by multiplying the transfer functions of the individual blocks:

Transfer function of cascaded combination = -0.5(1/(s+2)) * 1/(s+1)

= -0.5/(s+2)(s+1)

= 1/(s+1)(s+2)

Therefore, the correct answer is option 'A': 1/(s2)(s1).
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Community Answer
A control system whose step response is -0.5(1+e-2t) is cascaded to an...
Simply take out the laplace transform of output and input and make their ratio. that will be the transfer function
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A control system whose step response is -0.5(1+e-2t) is cascaded to another control block whose impulse response is e-t. What is the transfer function of the cascaded combination?a)1/(s+2)(s+1)b)1/(s+1)sc)1/(s+3)d)0.5/(s+1)(s+2)Correct answer is option 'A'. Can you explain this answer?
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