An artificial heart works in closed loop by varying its pumping rate according to changes in signals from the recipient's nervous system. For feedback compensation design it is important to know the heart's open-loop transfer function. To identify this transfer function, an artificial heart is implanted in a calf while the main parts of the original heart are left

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An artificial heart works in closed loop by varying
its pumping rate according to changes in signals
from the recipient's nervous system. For feedback
compensation design it is important to know the
heart's open-loop transfer function. To identify this
transfer function, an artificial heart is implanted in a
calf while the main parts of the original heart are left
in place. Then the atrial pumping rate in the original
heart is measured while step input changes are
effected on the artificial heart. It has been found
that. in general, the obtained response closely
resembles that of a second-order system. In one
such experiment it was found that the step response
has a %OS = 30% and a time of first peak 7,
127 sec (Nakamura, 2002). Find the corresponding
transfer function.
Aside from the corresponding transfer function, determine
the following as well: delay time, rise time, settling time and
steady state error if input is a step response.
CO
M
Transcribed Image Text:An artificial heart works in closed loop by varying its pumping rate according to changes in signals from the recipient's nervous system. For feedback compensation design it is important to know the heart's open-loop transfer function. To identify this transfer function, an artificial heart is implanted in a calf while the main parts of the original heart are left in place. Then the atrial pumping rate in the original heart is measured while step input changes are effected on the artificial heart. It has been found that. in general, the obtained response closely resembles that of a second-order system. In one such experiment it was found that the step response has a %OS = 30% and a time of first peak 7, 127 sec (Nakamura, 2002). Find the corresponding transfer function. Aside from the corresponding transfer function, determine the following as well: delay time, rise time, settling time and steady state error if input is a step response. CO M
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