1.

The closed loop transfer function of a control system is given by \(\frac{{C\left( s \right)}}{{R\left( s \right)}} = \frac{1}{{s + 1}}\). For the input r(t) = sin t, the steady state response c(t) is

A. 1
B. \(\frac{1}{{\sqrt 2 }}\cos t\)
C. \(\frac{1}{{\sqrt 2 }}\sin \left( {t + \frac{\pi }{4}} \right)\)
D. \(\frac{1}{{\sqrt 2 }}\sin \left( {t - \frac{\pi }{4}} \right)\)
Answer» E.


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