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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)The question was asked in a job interview.Query is from Transfer Functions topic in section Mathematical Models of Physical Systems of Control Systems

Answer»

Right choice is (a) 1/(s+2)(s+1)

To elaborate: 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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