Consider the following block diagram which shows one control input and three possible locations that disturbances can get injected into the system: d,(t) toplay C(s) P(s) u(t) d,(t) r(t). e(t) • di(t) to y(t) • dy(t) to y(t) • r(t) to e(t) • dr(t) to e(t) • di(t) to e(t) K C(s) K d,(t) y(t) y(t) Using the principle of superposition, redraw the system to show each of the possible input to output configurations for each of the two outputs and four inputs. When doing so, assume all other inputs are zero and simply draw a feedback loop noting the transfer function in the top block and in the bottom block. Note - there are 8 of these: • r(t) to y(t) • dr(t) to y(t)

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Consider the following block diagram which shows one control input and
three possible locations that disturbances can get injected into the system:
r(t).
d,(t)
• di(t) to y(t)
• dy(t) to y(t)
• r(t) to e(t)
e(t)
• dr(t) to e(t)
• di(t) to e(t)
• dy(t) to e(t)
K
C(s)
C(s)
d,(t)
u(t)
K
P(s)
y(t)
d,(t)
Using the principle of superposition, redraw the system to show each of the
possible input to output configurations for each of the two outputs and four
inputs. When doing so, assume all other inputs are zero and simply draw a
feedback loop noting the transfer function in the top block and in the
bottom block.
Note - there are 8 of these:
• r(t) to y(t)
• dr(t) to y(t)
y(t)
Transcribed Image Text:Consider the following block diagram which shows one control input and three possible locations that disturbances can get injected into the system: r(t). d,(t) • di(t) to y(t) • dy(t) to y(t) • r(t) to e(t) e(t) • dr(t) to e(t) • di(t) to e(t) • dy(t) to e(t) K C(s) C(s) d,(t) u(t) K P(s) y(t) d,(t) Using the principle of superposition, redraw the system to show each of the possible input to output configurations for each of the two outputs and four inputs. When doing so, assume all other inputs are zero and simply draw a feedback loop noting the transfer function in the top block and in the bottom block. Note - there are 8 of these: • r(t) to y(t) • dr(t) to y(t) y(t)
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