find the steady-state response,

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Consider the second-order transfer function given below. Assume zero initial conditions.
Y(s)
Kw
8²+26w8+w
If the input to the system is
f(t) = 3.5+ 11.71cos (4.26t) - 6.87sin (15.33t+)
When K, = 7.56, C = 0.479, and wn
-
Hint: Use superposition of frequency response.
G (s) =
-
4.26rad/s, find the steady-state response, Yss
Oy(t) = 26.46 +92.41cos (4.26t-)-4.18sin(15.33t+ = -2.86)
Ov.. (t) = 7.56 +7.89cos (4.26t).608sin (15.33t+-2.86)
yas (t) = 26.46+92.41cos (4.26t+)-4.18sin (15.33t++2.86)
Oy(t) = 26.46 +92.41cos (4.26t+)-4.18sin (15.33t- +2.86)
Transcribed Image Text:Consider the second-order transfer function given below. Assume zero initial conditions. Y(s) Kw 8²+26w8+w If the input to the system is f(t) = 3.5+ 11.71cos (4.26t) - 6.87sin (15.33t+) When K, = 7.56, C = 0.479, and wn - Hint: Use superposition of frequency response. G (s) = - 4.26rad/s, find the steady-state response, Yss Oy(t) = 26.46 +92.41cos (4.26t-)-4.18sin(15.33t+ = -2.86) Ov.. (t) = 7.56 +7.89cos (4.26t).608sin (15.33t+-2.86) yas (t) = 26.46+92.41cos (4.26t+)-4.18sin (15.33t++2.86) Oy(t) = 26.46 +92.41cos (4.26t+)-4.18sin (15.33t- +2.86)
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