Consider the LTI system with the following block diagram. R(s) 1 Y(s) s2 +1 (a) Find the unit step response of the closed-loop system. (b) Find the steady-state error (i.e., e(t) = r(t) – y(t)) to the unit-step reference input.
Consider the LTI system with the following block diagram. R(s) 1 Y(s) s2 +1 (a) Find the unit step response of the closed-loop system. (b) Find the steady-state error (i.e., e(t) = r(t) – y(t)) to the unit-step reference input.
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Transcribed Image Text:EECE 4000
February 24, 2021
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1. Consider the LTI system with the following block diagram.
1
Y (s)
R(s)
s2 +1
(a) Find the unit step response of the closed-loop system.
(b) Find the steady-state error (i.e., e(t) = r(t) – y(t)) to the unit-step reference input.
** With zero initial conditions, the unit-step response of a LTI system is
= e-3t+12u(t - 4) + u(t- 4)
where u(t)
Expert Solution
Step 1
As only the first question is complete, and the second question is incomplete, so I am going to answer only the first question.
Unit step response of a system is defined as the output at the input is step signal.
A steady-state error of a signal has been explained in the below solutions.
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