In practice a machine, described a second-order transfer function G(s), will be Question 2 subjected to inputs that change suddenly. The system's block diagram is: Uis) Ya) s2+ 5s +6 and the governing differential equation is: dy dy + 6y u(t). dt Use the unit-step response to deter-mine how long it will take the machine's response to settle to a new steady-state value after a change. Note: The step response assumes that the system is "at rest" at time t = 0, that is y(0) = 0 and y'(0) = 0, and that the input u(t) = u.(t).

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In practice a machine, described a second-order transfer function G(s), will be
Question 2
subjected to inputs that change suddenly.
The system's block diagram is:
Uis)
Ya)
s+ 5s +6
and the governing differential equation is:
dy
+5
dt
+ 6y = u(t).
Use the unit-step response to deter-mine how long it will take the machine's
response to settle to a new steady-state value after a change.
Note:
The step response assumes that the system is "at rest" at time t = 0, that
is y(0) = 0 and y'(0) = 0, and that the input u(t) = u(t).
%3!
%3D
Transcribed Image Text:In practice a machine, described a second-order transfer function G(s), will be Question 2 subjected to inputs that change suddenly. The system's block diagram is: Uis) Ya) s+ 5s +6 and the governing differential equation is: dy +5 dt + 6y = u(t). Use the unit-step response to deter-mine how long it will take the machine's response to settle to a new steady-state value after a change. Note: The step response assumes that the system is "at rest" at time t = 0, that is y(0) = 0 and y'(0) = 0, and that the input u(t) = u(t). %3! %3D
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