The transfer function of a system is Y(s) 15 (s + 1) R(s) s² +9s +14° Determine y(t) when r(t) is a unit step input. Answer: y(t) = 1.07+1.5e-2 -2.57e-71, 120

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This is a part of a review I'm studying, NOT a graded assignment, please do not reject.

I'm not getting the same answer as the given solution, may someone please explain their method on how to get the same solution?

The transfer function of a system is
Y(s) 15(s + 1)
R(s) s² +9s +14
Determine y(t) when r(t) is a unit step input.
Answer: y(t)= 1.07 +1.5e-2 -2.57e-7t, t≥0
Transcribed Image Text:The transfer function of a system is Y(s) 15(s + 1) R(s) s² +9s +14 Determine y(t) when r(t) is a unit step input. Answer: y(t)= 1.07 +1.5e-2 -2.57e-7t, t≥0
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This is a part of a review I'm studying, NOT a graded assignment, please do not reject.

May someone verify the answer to this review problem in MATLAB please and explain how they scripted it? I know how to solve regularly but I need a MATLAB explanation please. Thank you in advance for your help!

A laser printer uses a laser beam to print copy rap-
idly for a computer. The laser is positioned by a control
input r(t), so that we have
Y(s) =
4(s+50)
s² + 30s + 200
R(s).
The input r(t) represents the desired position of the
laser beam.
(a) If r(t) is a unit step input, find the output y(t).
(b) What is the final value of y(t)?
Answer: (a) y(t) = 1+0.6e-20 -1.6e-10t, (b) yss = 1
Transcribed Image Text:A laser printer uses a laser beam to print copy rap- idly for a computer. The laser is positioned by a control input r(t), so that we have Y(s) = 4(s+50) s² + 30s + 200 R(s). The input r(t) represents the desired position of the laser beam. (a) If r(t) is a unit step input, find the output y(t). (b) What is the final value of y(t)? Answer: (a) y(t) = 1+0.6e-20 -1.6e-10t, (b) yss = 1
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